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English
1. 渦の3次元ダイナミックス
特異摂動法によって、渦管の運動速度に対する最高精度の公式を導出した。風力発電への応用を目指している。
- 粘性流体中の渦輪の運動速度
- 粘性流体中の渦対の運動速度
- らせん渦管による誘導速度と運動速度
- 数値計算データから渦構造自動抽出する階層的渦クラスタリング法
2. 渦運動の3次元安定性
ハミルトン力学系におけるKreinのスペクトル理論を背景にした安定性解析によって、新しい渦の不安定モードを発見した。
- ひずみ流中の渦管の楕円型不安定性
- 渦輪の曲率不安定性
- らせん渦管の3次元不安定性
- 楕円中容器内の回転流の波の相互作用と弱非線形不安定性
- 対称コマの安定性に対するハミルトン的エネルギー解析
3. 電磁流体の磁気回転不安定性(MRI: Magnetic Rotational Instability)
ブラックホールまわりのアクリーション円盤の局所安定性を、Frieman-Rotenberg方程式(Hain-Lust方程式)にWKB法を適用することによって計算した。
- 一様磁場中の標準MRIに対する粘性および電気抵抗の効果
- 方位磁場中の方位MRI(AMRI)における長波長不安定性
4. 電磁流体の運動に対するホール効果および電子慣性の効果
MHDで無視される、電子とイオンの分離の揺らぎもたらすHall効果や電子の慣性の効果を記述するXMHD方程式の数学的性質を調べた。
- 電子慣性-Hall-MHD方程式の解の存在および正則性
5．トポロジカル流体力学
必ずしもニュートンの運動法則に従わない任意の運動速度のもとでも不変に保たれる流体や電磁流体の性質を明らかにした。
- Noetherの定理によるクロスヘリシティの特徴づけ
- 4個のトポロジカル不変量を用いたMHD方程式の南部括弧表現
- MHDの等磁気循環(iso-magnetovortical)攪乱による波のエネルギー表現
- 相対論的クロスヘリシティ
6. 圧縮性流体中の界面の不安定性
非圧縮性流体中の接線速度不連続面は必ずKelvin-Helmholtz(KH)不安定性を起こし、増幅率は速度差に比例するが、圧縮性はこれを弱め、マッハ数が√8を越えると安定化する。
- 圧縮性流体中のKH不安定性に対する重力や表面張力の効果
- 浅水流のKH不安定性に対する重力波の効果
7. 燃焼火炎面の不安定性
予混合火炎面の流体力学的不安定性としてDarrieous-Landau(DL)不安定が知られているが、必ずしも実験と一致しない。
- DL不安定性に対する重力や圧縮性の効果
- 電磁流体流体中のDL不安定性に対する磁場の効果
- Burgers渦やSullivan渦(2セル渦)中での拡散火炎の形状
8. 地下水流の解析と斜面災害の早期警戒避難情報システム
地すべりのような斜面災害は雨水が地中に浸透して間隙水圧が上昇することによって引き起こされる。
- 重力下での雨水の不飽和土壌への浸透を記述するRichards方程式の陽的差分法
- Darcyの法則による空洞のある多孔性媒質中の流れの解析
- Mohr-Coulombの破壊基準にもとづく地すべりの早期警戒避難情報システム
9. マテリアルズインフォマティクス
量子化学計算と機械学習を組み合わせることによって、計算機上での化学材料設計スキームを開発した。
- 所望の特性をもつ環状化合物の自動生成アルゴリズム
10. 今井功資料整理・調査
流体物理学という分野を開拓された故今井功
東京大学名誉教授（1914-2014）が遺された資料(論文原稿、講義ノート、計算ノート等)の整理および中身の調査を科学史の研究者を中心に行っている。
研究テーマ
受賞歴
1994 日本流体力学会 竜門賞
2018 人工知能学会・現場イノベーション賞金賞 富士通共同研究部門
2018 人工知能学会・現場イノベーション賞金賞 富士通共同研究部門
研究業績
1. Yasuhide Fukumoto.
Slow motion of a small sphere in a viscous fluid between two concentric circular cylinders,
J. Phys. Soc. Japan Vol.54, No.4 (1985) pp.1322-1328.
2. Yasuhide Fukumoto,
Unsteady circulatory flow about a circular cylinder with suction or injection,
J. Phys. Soc. Japan Vol.55, No.2 (1986) pp.446--449.
3. Yasuhide Fukumoto and Takeshi Miyazaki,
N-solitons on a curved vortex filament,
J. Phys. Soc. Japan Vol. 55, No.12 (1986) pp.4152-4155.
4. Yasuhide Fukumoto,
The force on a small sphere in a viscous fluid outside a rotating circular cylinder,
Proc. of the 35th Japan National Congress for Theoretical and Applied Mechanics, 1985, "Theoretical and Applied Mechanics" Vol.35 (東大出版会, 1987) pp.157-164.
5. Yasuhide Fukumoto,
On integral invariants for vortex motion under the localized induction approximation,
J. Phys. Soc. Japan Vol.56, No.12 (1987) pp.4207-4209.
6. Yasuhide Fukumoto and Takeshi Miyazaki,
N-solitons propagating on a thin curved vortex filament,
Proc. of the 36th Japan National Congress for Theoretical and Applied Mechanics, 1986, "Theoretical and Applied Mechanics" Vol.36 (東大出版会, 1988) pp.49-60.
7. Yasuhide Fukumoto and Takeshi Miyazaki,
Three-dimensional distortions of a vortex filament: Exact solutions of the localized induction equation,
Fluid Dyn. Res. Vol.3, No.1-4 (1988) pp.157-162.
8. Takeshi Miyazaki and Yasuhide Fukumoto,
N-solitons on a curved vortex filament with axial flow,
J. Phys. Soc. Japan Vol.57, No.10 (1988) pp.3365-3370.
9. Shigeyuki Komura, Toru Miyazawa, Takeo Izuyama, and Yasuhide Fukumoto,
Sound attenuation in a one-dimensional periodic inhomogeneous medium,
J. Phys. Soc. Japan, Vol.59, No.1 (1990) pp.101-110.
10. Yasuhide Fukumoto,
General unsteady circulatory flow outside a porous circular cylinder with suction or injection,
J. Phys. Soc. Japan Vol.59, No.3 (1990) pp.918-926.
11. Yasuhide Fukumoto and Takeshi Miyazaki,
Three-dimensional distortions of a vortex filament with axial velocity,
J. Fluid Mech. Vol.222 (Jan. 1991) pp.369-416.
https://doi.org/10.1017/S0022112091001143
12. Takeshi Miyazaki and Yasuhide Fukumoto,
Axisymmetric waves on a vertical vortex in a stratified fluid,
Phys. Fluids A Vol.3, No.4 (1991) pp.606-616.
https://aip.scitation.org/doi/10.1063/1.858122
13. Yasuhide Fukumoto and Mitsuhiro Takayama,
Vorticity production at the edge of a slit by sound waves in the presence of a low-Mach-number bias flow,
Phys. Fluids A Vol.3, No.12 (1991) pp.3080-3082.
14. Yasuhide Fukumoto and Takeo Izuyama,
Thermal attenuation and dispersion of sound in a periodic emulsion,
Phys. Rev. A Vol.46, No.8 (1992) pp.4905-4921.
15. Takeshi Miyazaki and Yasuhide Fukumoto,
Three-dimensional instability of strained vortices in a stably stratified fluid,Phys. Fluids A Vol.4, No.11 (1992) pp.2515-2522.
https://aip.scitation.org/doi/10.1063/1.858438
16. Yasuhide Fukumoto.
Steady configurations of a vortex filament in flows.
In Unstable and Turbulent Motion of Fluid (ed. by S. Kida, World Scientific) (1993) pp.50-58.
17. Takeshi Miyazaki, Takeshi Imai and Yasuhide Fukumoto,
Three-dimensional instability of Kirchhoff's elliptic vortex,
Phys. Fluids Vol.7, No.1 (1995) pp.2515-2522.
https://aip.scitation.org/doi/10.1063/1.868719
18. Yasuhide Fukumoto and Takeshi Miyazaki,
Local stability of two-dimensional steady irrotational solenoidal flows with closed streamlines,
J. Phys. Soc. Japan Vol.65, No.1 (1996) pp.107-113.
https://journals.jps.jp/doi/10.1143/JPSJ.65.107
19. Yasuhide Fukumoto and Mitsuharu Miyajima,
The localised induction hierarchy and the Lund-Regge equation,
J. Phys. A: Math. Gen. Vol.29, No.24 (1996) pp.8025-8034.
https://iopscience.iop.org/article/10.1088/0305-4470/29/24/025
20. Yasuhide Fukumoto,
Stationary configurations of a vortex filament embedded in background flows,
Proc. of the Fourth MSJ International Research Institute on Nonlinear Waves Vol.1 (1997) pp.59-64.
21. Yasuhide Fukumoto,
Stationary configurations of a vortex filament in background flows,
Proc. Roy. Soc. Lond. A Vol.453, No.1961 (Jun. 1997) pp.1205-1232.
https://royalsocietypublishing.org/doi/10.1098/rspa.1997.0067
22. Yasuhide Fukumoto and H. K. Moffatt,
Motion of a vortex ring in a viscous fluid: Higher-order asymptotics,
Proc. of IUTAM Symposium on Dynamics of Slender Vortices, Fluid Mechanics and Applications series Vol.44 (eds. E. Krause and K. Gersten, Kluwer) (1998) pp.21--34.
23. T. Rozi and Yasuhide Fukumoto,
The response of Hill's vortex to a small three dimensional disturbance in the case of m=5,
In Progress in Experimental and Computational Mechanics in Engineering and Material Behaviour (eds. D. Zhu, M. Kikuchi, Y. Shen and M. Geni, Northwestern Ploytech. Univ. Press) (1999) pp.346--351.
24. 福本 康秀,
Biot-Savart 則に対する Dyson の方法再考,
ながれ Vol.19, No.3 (2000) pp.180-185.
https://jglobal.jst.go.jp/detail?JGLOBAL_ID=200902171432381499
25. T. Ruzi, Yasuhide Fukumoto and W. Abula,
Evolution of the surface of Hill's vortex subjected to a small three-dimensional disturbance for the cases of m=4 and 5,
In Advances in Computational Engineering & Sciences (eds. S. N. Atluri and F. W. Brust, Tech Science Press) (2000) pp.1014-1019.
26. T. Rozi and Yasuhide Fukumoto,
The most unstable perturbation of wave-packet form inside Hill's vortex,
J. Phys. Soc. Japan Vol.69, No.8 (2000) pp.2700-2701.
https://journals.jps.jp/doi/abs/10.1143/JPSJ.69.2700
27. Yasuhide Fukumoto and H. K. Moffatt,
Motion and expansion of a viscous vortex ring. Part 1. A higher-order asymptotic formula for the velocity,
J. Fluid Mech. Vol.417 (2000) pp.1-45.
https://doi.org/10.1017/S0022112000008995
28. Yasuhide Fukumoto and H. K. Moffatt,
Motion and expansion of a viscous vortex ring: Elliptical slowing down and diffusive expansion,
Proc. of Symposium on Turbulence Structure and Vortex Dynamics, Isaac Newton Institute Series (eds. J.C.R. Hunt and J.C. Vassilicos, Cambridge University Press) (2000) pp.1-22.
29. Yasuhide Fukumoto,
Motion of a curved vortex filament: Higher-order asymptotics,
Proc. of IUTAM Symposium on Geometry and Statistics of Turbulence, Fluid Mechanics and Applications series Vol.59 (eds. T. Kambe, T. Nakano and T. Miyauchi, Kluwer) (2001) pp.211-216.
30. Yasuhide Fukumoto,
Higher-order asymptotic theory for the velocity field induced by an inviscid vortex ring,
Fluid Dyn. Res. Vol.30, No.2 (2002) pp.65-92.
https://iopscience.iop.org/article/10.1016/S0169-5983(01)00044-2
31. Yasuhide Fukumoto,
Three-dimensional motion of a vortex filament and its relation to the localized induction hierarchy,
Euro. Phys. J. B Vol.29, No.2 (Oct. 2002) pp.167-171.
https://link.springer.com/article/10.1140/epjb/e2002-00279-5
32. Yasuhide Fukumoto and S. Lugomer,
Instability of vortex filaments in laser-matter interactions,
Phys. Lett. A Vol.308. No.5, 6 (2003) pp.375-380.
https://www.sciencedirect.com/science/article/abs/pii/S0375960103000690
33. Yasuhide Fukumoto and Yuji Hattori,
Linear stability of a vortex ring revisited,
Proc. of IUTAM Symposium on Tubes, Sheets and Singuraities in Fluid Dynamics, Fluid Mechanics and Applications series Vol.71 (eds. H.K. Moffatt and K. Bajer, Kluwer) (Dec. 2002) pp.37-48.
34. Yuji Hattori and Yasuhide Fukumoto,
Short-wavelength stability analysis of thin vortex rings,
Phys. Fluids Vol.15, No.10 (Oct. 2003) pp.3151-3163.
https://aip.scitation.org/doi/10.1063/1.1606446
35. Yasuhide Fukumoto,
The three-dimensional instability of a strained vortex tube revisited,
J. Fluid Mech. Vol.493 (Oct. 2003) pp.287-318.
https://doi.org/10.1017/S0022112003006025
36. Yasuhide Fukumoto,
Conservation laws of circulation and helicity as Noether's theorem,
Computational Fluid Dynamics Journal Vol.13, No.3 (Oct. 2004) pp.417-421.
37. V. L. Okulov and Yasuhide Fukumoto,
Helical dipole,
Doklady Physics Vol.49, No.11 (Nov. 2004) pp.662-667.
38. Yasuhide Fukumoto and Yuji Hattori,
Curvature instability of a vortex ring,
J. Fluid Mech. Vol.526 (Mar. 2005) pp.77-115.
https://doi.org/10.1017/S0022112004002678
39. Stjepan Lugomer and Yasuhide Fukumoto,
Hierarchical instability of a vortex ring array in multipulse laser-matter interactions,
Fluid Dynamics Research Vol.36, No.4-6 (Apr. 2005) pp.277-290.
https://www.sciencedirect.com/science/article/abs/pii/S0169598305000146
40. Yasuhide Fukumoto and V. L. Okulov,
The velocity field induced by a helical vortex tube,
Phys. Fluids Vol.17, No.10 (Oct. 2005) 107101 (19 pages).
https://aip.scitation.org/doi/10.1063/1.2061427
41. Yasuhide Fukumoto, Yuji Hattori and Kaoru Fujimura,
Weakly nonlinear evolution of an elliptical flow,
Proc. of the 3rd International Conference on Vortex Flows and Vortex Models (ed. K. Kamemoto, the Japan Society of Mechanical Engineers (JSME), Nov. 2005) pp.149-154.
42. Yasuhide Fukumoto and Yuji Hattori,
Linear and nonlinear instability of a vortex ring,
Proc. of IUTAM Symposium on Elementary Vortices and Coherent Structures - Significance in Turbulence Dynamics -,
Fluid Mechanics and Applications series Vol.79 (eds. S. Kida, Kluwer, 2006) pp.283-294.
43. Yuji Hattori, Yasuhide Fukumoto and Kaoru Fujimura,
Evolution of an elliptical flow in weakly nonlinear regime,
Proc. of IUTAM Symposium on Computational Physics and New Perspectives in Turbulence (ed. Y. Kaneda, Springer, 2007) pp. 433-438.
44. Yuji Hattori, Yasuhide Fukumoto and Kaoru Fujimura,
Instability of an elliptical flow: Weakly nonlinear analysis,
Proc. of the Sixth International Conference on Advances in Fluid Mechanics "Fluid Structure Interaction and Moving Boundary Problems IV" (eds. S. K. Chakrabarti and C. A. Brebbia, WIT press, 2007) pp.193-201.
45. Yasuhide Fukumoto,
Analogy between a vortex-jet filament and the Kirchhoff elastic rod,
Fluid Dynamics Research Vol.39, No.7 (Jul. 2007) pp.511-520.
https://iopscience.iop.org/article/10.1016/j.fluiddyn.2006.12.004
46. S. Lugomer, Yasuhide Fukumoto, B. Farkas, T. Szorenyi and A. Toth,
Super-complex wave-vortex multiscale phenomena induced in laser-matter interactions,
Physical Reviews E Vol.76 (Jul. 2007) 016305 (15 pages).
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.76.016305
47. Yasuhide Fukumoto,
Analogy of a vortex-jet filament with the Kirchhoff elastic rod and its dynamical extension,
Proc. of IUTAM Symposium on Hamiltonian dynamics, vortex structure and turbulence, IUTAM Bookseries Vol.6 (eds. A.V. Borisov, V.V. Kozlov, I.S. Manaev and M.A. Sokolovskiy, Springer, 2008) pp.77-87.
48. Yasuhide Fukumoto and F. Kaplanski,
Global time evolution of an axisymmetric vortex ring at low Reynolds numbers,
Physics of Fluids Vol.20, No.5 (May, 2008) 053103 (13 pages).
https://aip.scitation.org/doi/10.1063/1.2925682
49. Yasuhide Fukumoto and H. K. Moffatt,
Kinematic variational principle for motion of vortex rings,
Physica D Vol.237, No.14-17 (Aug. 2008) pp.2210-2217.
https://www.sciencedirect.com/science/article/abs/pii/S01672789080004
50. Hirota and Y. Fukumoto,
Energy of hydrodynamic and magnetohydrodynamic waves with point and continuous spectra,
Journal of Mathematical Physics Vol.49 (Oct. 2008) 083101 (28 pages).
https://aip.scitation.org/doi/10.1063/1.2969275
51. M. Hirota and Y. Fukumoto,
Action-angle variables for the continuous spectrum of ideal magnetohydrodynamics.
Physics of Plasmas Vol.15 (Dec. 2008) 122101 (11 pages).
https://aip.scitation.org/doi/10.1063/1.3035912
52. Yasuhide Fukumoto,
A unified view of topological invariants of fluid flows,
Topologica Vol.1 (Dec. 2008) 003 (12 pages).
https://doi.org/10.3731/topologica.1.003
53. Yasuhide Fukumoto and M. Hirota,
Elliptical instability of a vortex tube and drift current induced by it,
Physica Scripta Vol.T132 (Oct. 2008) 014041 (9 pages).
https://iopscience.iop.org/article/10.1088/0031-8949/2008/T132/014041
54. Yuji Hattori and Yasuhide Fukumoto,
Short-wavelength stability analysis of a helical vortex tube,
Physics of Fluids Vol.21, No.1 (Jan. 2009) 014104 (7 pages).
https://aip.scitation.org/doi/10.1063/1.3054150
55. F. Kaplanski, S. Sazhin, Yasuhide Fukumoto, B. Steven and H. Morgan,
A generalised vortex ring model,
Journal of Fluid Mechanics Vol.622 (Mar. 2009) pp.233-258.
56. Me Me Naing and Yasuhide Fukumoto,
Local instability of an elliptical flow subjected to a Coriolis force,
J. Phys. Soc. Japan Vol.78, No. 12 (December, 2009) 124401 (7 pages).
57. Yasuhide Fukumoto,
Global time evolution of viscous vortex rings,
Theoretical and Computational Fluid Dynamics Vol.24, No.1-4 (March, 2010) pp.335-347.
https://link.springer.com/article/10.1007/s00162-009-0155-0
58. Y. Hattori and Yasuhide Fukumoto,
Short-wave stability of a helical vortex tube: the effect of torsion on the curvature instability.,
Theoretical and Computational Fluid Dynamics Vol.24, No.1-4 (March, 2010) pp.363-368.
https://link.springer.com/article/10.1007/s00162-009-0145-2
59. S. Lugomer and Yasuhide Fukumoto,
Generation of ribbons, helicoids and complex Scherk surface in laser-matter interactions,
Phys. Rev. E Vol.81 (March, 2010) 036311 (11 pages).
Figure 10 was displayed on the web site of Phys. Rev. D as part of our "Kaleidoscope" (http://pre.aps.org).
https://doi.org/10.1103/PhysRevE.81.036311
60. F. Kaplanski, S.S. Sazhin, S. Begg, Yasuhide Fukumoto and M. Heikal,
Dynamics of vortex rings and spray induced vortex ring-like structures,
European J. Mechanics B/ Fluids Vol.29 (March, 2010) pp.208-216.
https://doi.org/10.1016/j.euromechflu.2010.01.002
61. Y. Mie and Yasuhide Fukumoto,
Weakly nonlinear saturation of stationary resonance of a rotating flow in an elliptic cylinder,
Journal of Math-for-Industry Vol.2 A (April, 2010) pp.27-37.
http://hdl.handle.net/2324/17010
62. Yasuhide Fukumoto, M. Hirota and Y. Mie,
Lagrangian approach to weakly nonlinear stability of elliptical flow,
Physica Scripta Vol.T142 (Dec. 2010) 014049 (7 pages).
https://iopscience.iop.org/article/10.1088/0031-8949/2010/T142/014049
63. F. Kaplanski, Y. Fukumoto and Y. Rudi,
Reynolds-number effect on vortex ring evolution,
Proc. of the Sixth International Conference on Fluid Mechanics, AIP Conf. Proc. Vol.1376 (American Institute of Physics, 2011) pp.58-61.
https:// https://doi.org/10.1017/S0022112008005168
64. Me Me Naing and Yasuhide Fukumoto,
Local instability of a rotating flow driven by precession of arbitrary frequency,
Fluid Dynamics Research Vol.43 (August, 2011) 055502 (11 pages).
https://iopscience.iop.org/article/10.1088/0169-5983/43/5/055502
65. Yasuhide Fukumoto, M. Hirota and Y. Mie,
Energy and mean flow of Kelvin waves, and their application to weakly nonlinear stability of an elliptical flow,
In Proc. of the International Conference "Mathematical Analysis on the Navier-Stokes Equations and Related Topics, Past and Future -- in memory of Professor Tetsuro Miyakawa". Gakuto International Series, Mathematical Sciences and Applications Vol.43 (Dec. 2011) pp.53-70.
https://ci.nii.ac.jp/ncid/BB1024300X
66. F. Kaplanski, Y. Fukumoto and Y. Rudi,
Reynolds-number effect on vortex ring evolution in a viscous fluid,
Physics of Fluids Vol.24, No.3 (Mar. 2012) 033101 (13 pages).
doi: 10.1063/1.3693276
67. Y. Hattori and Yasuhide Fukumoto,
Effects of axial flow on the stability of a helical vortex tube,
Physics of Fluids Vol.24 (May, 2012) 054102 (15 pages).
https://aip.scitation.org/doi/10.1063/1.4717769
68. Oleg N. Kirillov, Frank Stefani and Yasuhide Fukumoto,
A unifying picture of helical and azimuthal MRI, and the universal significance of the Liu limit,
Astrophysical Journal Letters Vol.756, No.1 (September, 2012) 756:83 (6 pages).https://iopscience.iop.org/article/10.1088/0004-637X/756/1/83
69. Abuduwaili Paerhati and Yasuhide Fukumoto,
An example exempted from Thomson-Tait-Chetayev's theorem,
J. Phys．Soc. Japan Vol.82 (March, 2013) 043002 (4 pages).
http://dx.doi.org/10.7566/JPSJ.82.043002
70. Yasuhide Fukumoto and A. B. Samokhin,
Singular electromagnetic modes in an anisotropic medium,
Wave Motion Vol.50 (March, 2013) 481-493.
doi:10.1016/j.wavemoti.2012.11.001
71. Yasuhide Fukumoto and Hirofumi Sakuma, A unified view of topological invariants of barotropic and baroclinic fluids and their application to formal stability analysis of three-dimensional ideal gas flows,
Procedia IUTAM Vol. 7 "Topological Fluid Dynamics: Theory and Applications" (April, 2013) pp.213-222.
https://www.sciencedirect.com/science/article/pii/S2210983813000497
72. Jishan Fan, Yasuhide Fukumoto and Yong Zhou,
Logarithmically improved regularity criteria for the generalized Navier-Stokes and related equations,
Kinetic and Related Models Vol.6, No.3 (September, 2013) pp.545-556.
doi:10.3934/krm.2013.6.545
73. Yasuhide Fukumoto and Y. Mie,
Hamiltonian bifurcation theory for a rotating flow subject to elliptic straining field,
Physica Scripta Vol.T155 (2013) 014042 (10 pages).
doi:10.1088/0031-8949/2013/T155/014042
74. Yasuhide Fukumoto, M. Hirota and Y. Mie,
Note on representation of wave energy of a rotating flow in terms of dispersion relation,
In Proc. of BIRS Workshop on Spectral Analysis, Stability and Bifurcations in Nonlinear Physical Systems (eds. O.N. Kirillov and D.N. Pelinovsky, Wiley-ISTE, 2014) pp.139-153.
75. Yuji Hattori and Yasuhide Fukumoto,
Modal stability analysis of a helical vortex tube with axial flow,
Journal of Fluid Mechanics Vol.738 (January, 2014) pp.222-249.
https://doi.org/10.1017/jfm.2013.591
76. Oleg N Kirillov, Frank Stefani and Yasuhide Fukumoto,
Instabilities of rotational flows in azimuthal magnetic fields of arbitrary radial dependence,
Fluid Dynamics Research Vol.46 (June, 2014) 031403 (14 pages).
https://iopscience.iop.org/article/10.1088/0169-5983/46/3/031403
77. Youhei Kawazura, Zensho Yoshida and Yasuhide Fukumoto,
Relabeling symmetry in relativistic fluids and plasmas,
Journal of Physics A: Mathematical and Theoretical Vol.47 (Oct, 2014) 465501 (17 pages).
https://iopscience.iop.org/article/10.1088/1751-8113/47/46/465501
78. Oleg N. Kirillov, Frank Stefani and Yasuhide Fukumoto,
Local instabilities in magnetized rotational flows: A short-wavelength approach,Journal of Fluid Mechanics Vol.760 (November, 2014) pp.591-633.
https://doi.org/10.1017/jfm.2014.614
79. Rong Zou and Yasuhide Fukumoto,
Local stability analysis of azimuthal magnetorotational instability of ideal MHD flows,
Progress of Theoretical and Experimental Physics (PTEP) Vol.2014 (November, 2014) 113J01 (18 pages).
https://academic.oup.com/ptep/article/2014/11/113J01/2929821
80. Snezhana I Abarzhi, Yasuhide Fukumoto and Leo P Kadanoff,
Stability of a hydrodynamic discontinuity,
Physica Scripta Vol.90 (January, 2015) 018002 (7 pages),
https://iopscience.iop.org/article/10.1088/0031-8949/90/1/018002
81. Yasuhide Fukumoto and Y. Mie,
Lagrangian approach to weakly nonlinear interaction of Kelvin waves and a symmetry-breaking bifurcation of a rotating flow,
Fluid Dynamics Research Vol.47 (February, 2015) 015509 (15 pages).
https://iopscience.iop.org/article/10.1088/0169-5983/47/1/015509
82. Jishan Fan, Ahmed Alsaedi, Yasuhide Fukumoto, Taswar Hayat and Yong Zhou,
A regularity criterion for the denity-dependent Hall-magnetohydrodynamics,
Z. Anal. Angew. (Zeitschrift fur Analysis und ihre Angewendungen: ZAA) Vol.34 (June, 2015) 277-284.
DOI: 10.4171/ZAA/1539
83. Hirofumi Sakuma and Yasuhide Fukumoto,
On formal stability of stratified shear flows,
Publ. RIMS Kyoto Univ. Vol.51 (September, 2015) pp.605-633.
https://ems.press/journals/prims/articles/13440
84. Jishan Fan, Yasuhide Fukumoto, Gen Nakamura and Yong Zhou,
Regularity criteria for the incompressible Hall-MHD system,
Z. Angew. Math. Mech. (Zeitschrift fur Angewandte Mathematik und Mechanik: ZAMM) Vol.95, No. 11 (November, 2015) pp.1156-1160.
DOI: 10.1002/zamm.201400102
85. Yasuhide Fukumoto, Valery L. Okulov and David H. Wood,
The contribution of Kawada to the analytical solution for the velocity induced by a helical vortex filament,
Applied Mechanics Reviews Vol.6 (November, 2015) 060801 (6 pages).
https://doi.org/10.1115/1.4031964
86. Michael I. Tribelsky and Yasuhide Fukumoto,
Laser heating of dielectric particles for medical and biological applications,
Biomedical Optics Express Vol.7, No. 7 (July, 2016) 263677 (8 pages).
DOI:10.1364/BOE.7.002781
87. Hemanta Hazarika and Yasuhide Fukumoto
Sustainable solution for seawall protection against tsunami-induced damage,
International Journal of Geomechanics ASCE Vol.16, No.5 (October, 2016) p.687.
http://dx.doi.org/10.1061/(ASCE)GM.1943-5622.0000687
88. Yasuhide Fukumoto, Valery L. Okulov and David H. Wood,
The contribution of Kawada to the analytical solution for the velocity induced by a helical vortex filament and modern applications of helical vortices,
in Mathematical Analysis of Continuum Mechanics and Industrial Applications, Proceedings of the International Conference CoMFoS15, Springer Series Mathematics for Industry (December, 2016) pp.167-174.
DOI: 10.1007/978-981-10-2633-1_12
89. Fermin Franco Medrano, Yasuhide Fukumoto, Clara Marika Velte and Azur Hodzic,
Mass entrainment rate of an ideal momentum turbulent round jet,
J. Phys. Soc. Japan Vol.86 (February, 2017) 034401 (10 pages).
https://doi.org/10.7566/JPSJ.86.034401
90. Hemanta Hazarika, Tadashi Hara and Yasuhide Fukumoto,
Resilient and sustainable geotechnical solution: Lessons learned from the 2011 Great East Japan disaster,
Chapter 9, Springer Transactions in Civil and Environmental Engineering (Eds. G.L. Sivakumar Babu, Sireesh Saride and B. Munwar Basha, 2017) pp.125-151.
DOI: /10.1007/978-981-10-1930-2
91. Ummu Habibah, Hironori Nakagawa and Yasuhide Fukumoto,
Finite-thickness effect on speed of a counter-rotating viscous vortex pair,
Fluid Dynamics Research Vol.50, No.3 (March, 2018) 031401 (27 pages).
https://iopscience.iop.org/article/10.1088/1873-7005/aaa5c8/meta
92. Winston L. Sweatman, Graham Weir, Anton Gulley, Daniel Clarke, Yasuhide Fukumoto, J. F. Harper and Sibylle Van Hove,
Initialising finisher gaps in a hot strip mill,
ANZIAM Journal Vol.58 (May, 2018) M301-M327.
https://doi.org/10.21914/anziamj.v58i0.12433
93. Stjepan Lugomer and Yasuhide Fukumoto,
Supercomplex network of bistable coilled vortex filaments and ribbons in laser-matter interaction,
Journal of Modern and Applied Physics Vol.2, No.2 (2018) pp.1-9.
https://www.pulsus.com/scholarly-articles/supercomplex-network-of-bistable-coiled-vortex-filaments-and-ribbons-in-lasermatter-interactions-4600.html
94. D.V. Ilyin, Yasuhide Fukumoto, W. A. Goddard III and S. I. Abarzhi,
Analysis of dynamics, stability and flow fields' structure of an accelerated hydrodynamic discontinuity with interfacial mass flux by a general matrix method,
Physics of Plasmas Vol.25 (November, 2018) 112105 (19 pages).
https://aip.scitation.org/doi/10.1063/1.5008648
95. Yasuhide Fukumoto and Xiaopeng Zhao,
Well-posedness and large time behavior of solutions for the electron inertial Hall-MHD system,
Advanced in Differential Equations Vol.24, No.1, 2 (January, 2019) pp.31-68.
https://projecteuclid.org/euclid.ade/1544497234
96. Liangbing Jin, Thi Thai Le and Yasuhide Fukumoto,
Frictional effect on stability of discontinuity interface in tangential velocity of a shallow-water flow,
Physics Letters A Vol.383, No.26 (July, 2019) 125839 (5 pages).
https://doi.org/10.1016/j.physleta.2019.125839
97. Rong Zou, Joris Labarbe, Oleg N. Kirillov and Yasuhide Fukumoto,
Analysis of azimuthal magnetorotational instability of rotating magnetohydrodynamic flows and Tayler instability via an extended Hain-Lust equation,
Physical Review E Vol.101 (January, 2020) 013201 (22 pages).
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.101.013201
98. Fengnan Liu, Yashuhide Fukumoto and Xiaopeng Zhao,
Stability analysis of the explicit difference scheme for Richards equation,
Entropy Vol.22 (3) (March, 2020) 352 (8pp).
https://doi.org/10.3390/e22030352
99. Liu Fengnan, Yashuhide Fukumoto and Xiaopeng Zhao,
A linearized finite difference scheme for the Richards equation under variable-flux boundary conditions,
Journal of Scientific Computing (J. Sci. Comput.) Vol.83 (March, 2020) 16 (21 pages).
100. Jishan Fan, Yashuhide Fukumoto and Yong Zhou,
Regularity criteria for a Ginzburg-Landau-Navier-Stokes in superfluidity in R^n, Mathematical Methods in the Applied Sciences Vol.43 (10) (April 2020) pp.6542-6552.
DOI:10.1002/mma.6397
101. A.B. Samokhin and Yasuhide Fukumoto,
Singular modes of the integral scattering operator in anisotropic inhomogeneous media,
Differential Equations Vol.56, No.9 (October, 2020) pp.1212-1218.
https://doi.org/10.1134/S0012266120090104
102. V.L. Okulov and Yasuhide Fukumoto,
Analytical solution for self-induced motion of a helical vortex with a Gaussian core,
Thermophysics and Aeromechanics Vol.27, No.4 (December, 2020) pp.481-488.
https://doi.org/10.1134/S0869864320040022
103. Keigo Wada and Yasuhide Fukumoto,
Compressibility effect on Markstein number for a flame front in long-wavelength approximation,
In 2019-20 MATRIX Annals (Springer, 2020) pp.329-350.
https://doi.org/10.1007/978-3-030-62497-2_19
104. Mako Sato and Yasuhide Fukumoto,
Influence of an oblique magnetic field on planar flame front instability,
In 2019-20 MATRIX Annals (Springer, 2020) pp.439-459.
https://doi.org/10.1007/978-3-030-62497-2_26
105. V. L. Okulov and Yasuhide Fukumoto,
Singular approximation for calculation of vortex filaments,
Journal of Applied Mechanics and Technical Physics Vol.62 (September, 2021) pp.519-524.
https://doi.org/10.1134/S0021894421030196
106. X. Zhao, F. Liu and Yasuhide Fukumoto,
A multi level linearized Crank-Nicolson scheme for Richards equation under variable flux boundary conditions,
Applicable Analysis (Appl. Anal.) (October, 2021) online.
https://doi.org/10.1080/00036811.2021.1992395
107. K. Kuwana, K. Matsue, Yasuhide Fukumoto, R. Dobashi and K. Saito,
Fire whirls: a combustion science perspective,
Combustion Science and Technology (January, 2022) online.
https://www.tandfonline.com/doi/full/10.1080/00102202.2021.2019234
108. V.L. Okulov and Yasuhide Fukumoto,
Review of analytical approaches for simulating motions of helical vortex,
Frontiers in Energy Research (Front. Energy Res.) Vol.15 (February, 2022) 817941 (6 pages).
https://www.frontiersin.org/articles/10.3389/fenrg.2022.817941/full
109. D. Packwood, L.T.H. Nguyen, P. Cesana, G. Zhang, A. Staykov, Yasuhide Fukumoto and D.H. Nguyen,
Machine learning in materials chemistry: An invitation,
Machine Learning with Application Vol.8 (June, 2022) 100265 (31 pages).
https://doi.org/10.1016/j.mlwa.2022.100265
110. T.T. Le and Yasuhide Fukumoto,
Effect of depth discontinuity on interfacial stability of tangential-velocity discontinuity in shallow-water flow,
Physics Letters A Vol.436 (June, 2022) 128073 (7 pages).
https://doi.org/10.1016/j.physleta.2022.128073
111 Kazuo Matsuura and Yasuhide Fukumoto,
Hierarchical clustering method of volumetric vortical regions with application to the late-stage of laminar-turbulent transition,
Physical Review Fluids Vol.7 (May, 2022) 054703 (46 pages).
https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.7.054703
112. Yasuhide Fukumoto and Rong Zou,
Isomagnetovortical perturbations and wave energy of MHD flows,
Reviews of Modern Plasma Physics Vol.7 (January, 2023) 8 (21 pages).
https://doi.org/10.1007/s41614-023-00113-8
113. Linh Thi Hoai Nguyen, Yasuhide Fukumoto, Pierluigi Cesana and Aleksandar Staykov,
Fully automatized optimization of ring-opening reactions in lactone derivatives via 2-step machine learning,
Journal of Physical Chemistry A Vol.127 (November, 2023) pp.10159-10170.
https://doi.org/10.1021/acs.jpca.3c05887
114. Thi Thai Le, Yasuhide Fukumoto and Thorsten Koch,
Linear stability of a simple shear layer between two parallel streams in a
shallow water flow,
Physics Letters A Vol.493 (January, 2024) 129264 (7 pages).
https://doi.org/10.1016/j.physleta.2023.129264
115. Yasuhide Fukumoto and Rong Zou,
Nambu bracket for 3D ideal fluid dynamics and magnetohydrodynamics,
Prog. Theor. Exp. Phys. (PTEP) Vol.2024 (February, 2024) ptae025 (31 pages).
https://doi.org/10.1093/ptep/ptae025
116. Milton Assuncao, Pierluigi Cesana, Yasuhide Fukumoto, Graeme Hocking, Michael Vynnycky and Doireann O'Kiely,
Optimal design of observation holes on strainers for groundwater measurements, MMathematics in Industry Reports (MIIR) (August, 2024) online.
https://www.cambridge.org/engage/miir/search-dashboard?text=ESGI173
Slow motion of a small sphere in a viscous fluid between two concentric circular cylinders,
J. Phys. Soc. Japan Vol.54, No.4 (1985) pp.1322-1328.
2. Yasuhide Fukumoto,
Unsteady circulatory flow about a circular cylinder with suction or injection,
J. Phys. Soc. Japan Vol.55, No.2 (1986) pp.446--449.
3. Yasuhide Fukumoto and Takeshi Miyazaki,
N-solitons on a curved vortex filament,
J. Phys. Soc. Japan Vol. 55, No.12 (1986) pp.4152-4155.
4. Yasuhide Fukumoto,
The force on a small sphere in a viscous fluid outside a rotating circular cylinder,
Proc. of the 35th Japan National Congress for Theoretical and Applied Mechanics, 1985, "Theoretical and Applied Mechanics" Vol.35 (東大出版会, 1987) pp.157-164.
5. Yasuhide Fukumoto,
On integral invariants for vortex motion under the localized induction approximation,
J. Phys. Soc. Japan Vol.56, No.12 (1987) pp.4207-4209.
6. Yasuhide Fukumoto and Takeshi Miyazaki,
N-solitons propagating on a thin curved vortex filament,
Proc. of the 36th Japan National Congress for Theoretical and Applied Mechanics, 1986, "Theoretical and Applied Mechanics" Vol.36 (東大出版会, 1988) pp.49-60.
7. Yasuhide Fukumoto and Takeshi Miyazaki,
Three-dimensional distortions of a vortex filament: Exact solutions of the localized induction equation,
Fluid Dyn. Res. Vol.3, No.1-4 (1988) pp.157-162.
8. Takeshi Miyazaki and Yasuhide Fukumoto,
N-solitons on a curved vortex filament with axial flow,
J. Phys. Soc. Japan Vol.57, No.10 (1988) pp.3365-3370.
9. Shigeyuki Komura, Toru Miyazawa, Takeo Izuyama, and Yasuhide Fukumoto,
Sound attenuation in a one-dimensional periodic inhomogeneous medium,
J. Phys. Soc. Japan, Vol.59, No.1 (1990) pp.101-110.
10. Yasuhide Fukumoto,
General unsteady circulatory flow outside a porous circular cylinder with suction or injection,
J. Phys. Soc. Japan Vol.59, No.3 (1990) pp.918-926.
11. Yasuhide Fukumoto and Takeshi Miyazaki,
Three-dimensional distortions of a vortex filament with axial velocity,
J. Fluid Mech. Vol.222 (Jan. 1991) pp.369-416.
https://doi.org/10.1017/S0022112091001143
12. Takeshi Miyazaki and Yasuhide Fukumoto,
Axisymmetric waves on a vertical vortex in a stratified fluid,
Phys. Fluids A Vol.3, No.4 (1991) pp.606-616.
https://aip.scitation.org/doi/10.1063/1.858122
13. Yasuhide Fukumoto and Mitsuhiro Takayama,
Vorticity production at the edge of a slit by sound waves in the presence of a low-Mach-number bias flow,
Phys. Fluids A Vol.3, No.12 (1991) pp.3080-3082.
14. Yasuhide Fukumoto and Takeo Izuyama,
Thermal attenuation and dispersion of sound in a periodic emulsion,
Phys. Rev. A Vol.46, No.8 (1992) pp.4905-4921.
15. Takeshi Miyazaki and Yasuhide Fukumoto,
Three-dimensional instability of strained vortices in a stably stratified fluid,Phys. Fluids A Vol.4, No.11 (1992) pp.2515-2522.
https://aip.scitation.org/doi/10.1063/1.858438
16. Yasuhide Fukumoto.
Steady configurations of a vortex filament in flows.
In Unstable and Turbulent Motion of Fluid (ed. by S. Kida, World Scientific) (1993) pp.50-58.
17. Takeshi Miyazaki, Takeshi Imai and Yasuhide Fukumoto,
Three-dimensional instability of Kirchhoff's elliptic vortex,
Phys. Fluids Vol.7, No.1 (1995) pp.2515-2522.
https://aip.scitation.org/doi/10.1063/1.868719
18. Yasuhide Fukumoto and Takeshi Miyazaki,
Local stability of two-dimensional steady irrotational solenoidal flows with closed streamlines,
J. Phys. Soc. Japan Vol.65, No.1 (1996) pp.107-113.
https://journals.jps.jp/doi/10.1143/JPSJ.65.107
19. Yasuhide Fukumoto and Mitsuharu Miyajima,
The localised induction hierarchy and the Lund-Regge equation,
J. Phys. A: Math. Gen. Vol.29, No.24 (1996) pp.8025-8034.
https://iopscience.iop.org/article/10.1088/0305-4470/29/24/025
20. Yasuhide Fukumoto,
Stationary configurations of a vortex filament embedded in background flows,
Proc. of the Fourth MSJ International Research Institute on Nonlinear Waves Vol.1 (1997) pp.59-64.
21. Yasuhide Fukumoto,
Stationary configurations of a vortex filament in background flows,
Proc. Roy. Soc. Lond. A Vol.453, No.1961 (Jun. 1997) pp.1205-1232.
https://royalsocietypublishing.org/doi/10.1098/rspa.1997.0067
22. Yasuhide Fukumoto and H. K. Moffatt,
Motion of a vortex ring in a viscous fluid: Higher-order asymptotics,
Proc. of IUTAM Symposium on Dynamics of Slender Vortices, Fluid Mechanics and Applications series Vol.44 (eds. E. Krause and K. Gersten, Kluwer) (1998) pp.21--34.
23. T. Rozi and Yasuhide Fukumoto,
The response of Hill's vortex to a small three dimensional disturbance in the case of m=5,
In Progress in Experimental and Computational Mechanics in Engineering and Material Behaviour (eds. D. Zhu, M. Kikuchi, Y. Shen and M. Geni, Northwestern Ploytech. Univ. Press) (1999) pp.346--351.
24. 福本 康秀,
Biot-Savart 則に対する Dyson の方法再考,
ながれ Vol.19, No.3 (2000) pp.180-185.
https://jglobal.jst.go.jp/detail?JGLOBAL_ID=200902171432381499
25. T. Ruzi, Yasuhide Fukumoto and W. Abula,
Evolution of the surface of Hill's vortex subjected to a small three-dimensional disturbance for the cases of m=4 and 5,
In Advances in Computational Engineering & Sciences (eds. S. N. Atluri and F. W. Brust, Tech Science Press) (2000) pp.1014-1019.
26. T. Rozi and Yasuhide Fukumoto,
The most unstable perturbation of wave-packet form inside Hill's vortex,
J. Phys. Soc. Japan Vol.69, No.8 (2000) pp.2700-2701.
https://journals.jps.jp/doi/abs/10.1143/JPSJ.69.2700
27. Yasuhide Fukumoto and H. K. Moffatt,
Motion and expansion of a viscous vortex ring. Part 1. A higher-order asymptotic formula for the velocity,
J. Fluid Mech. Vol.417 (2000) pp.1-45.
https://doi.org/10.1017/S0022112000008995
28. Yasuhide Fukumoto and H. K. Moffatt,
Motion and expansion of a viscous vortex ring: Elliptical slowing down and diffusive expansion,
Proc. of Symposium on Turbulence Structure and Vortex Dynamics, Isaac Newton Institute Series (eds. J.C.R. Hunt and J.C. Vassilicos, Cambridge University Press) (2000) pp.1-22.
29. Yasuhide Fukumoto,
Motion of a curved vortex filament: Higher-order asymptotics,
Proc. of IUTAM Symposium on Geometry and Statistics of Turbulence, Fluid Mechanics and Applications series Vol.59 (eds. T. Kambe, T. Nakano and T. Miyauchi, Kluwer) (2001) pp.211-216.
30. Yasuhide Fukumoto,
Higher-order asymptotic theory for the velocity field induced by an inviscid vortex ring,
Fluid Dyn. Res. Vol.30, No.2 (2002) pp.65-92.
https://iopscience.iop.org/article/10.1016/S0169-5983(01)00044-2
31. Yasuhide Fukumoto,
Three-dimensional motion of a vortex filament and its relation to the localized induction hierarchy,
Euro. Phys. J. B Vol.29, No.2 (Oct. 2002) pp.167-171.
https://link.springer.com/article/10.1140/epjb/e2002-00279-5
32. Yasuhide Fukumoto and S. Lugomer,
Instability of vortex filaments in laser-matter interactions,
Phys. Lett. A Vol.308. No.5, 6 (2003) pp.375-380.
https://www.sciencedirect.com/science/article/abs/pii/S0375960103000690
33. Yasuhide Fukumoto and Yuji Hattori,
Linear stability of a vortex ring revisited,
Proc. of IUTAM Symposium on Tubes, Sheets and Singuraities in Fluid Dynamics, Fluid Mechanics and Applications series Vol.71 (eds. H.K. Moffatt and K. Bajer, Kluwer) (Dec. 2002) pp.37-48.
34. Yuji Hattori and Yasuhide Fukumoto,
Short-wavelength stability analysis of thin vortex rings,
Phys. Fluids Vol.15, No.10 (Oct. 2003) pp.3151-3163.
https://aip.scitation.org/doi/10.1063/1.1606446
35. Yasuhide Fukumoto,
The three-dimensional instability of a strained vortex tube revisited,
J. Fluid Mech. Vol.493 (Oct. 2003) pp.287-318.
https://doi.org/10.1017/S0022112003006025
36. Yasuhide Fukumoto,
Conservation laws of circulation and helicity as Noether's theorem,
Computational Fluid Dynamics Journal Vol.13, No.3 (Oct. 2004) pp.417-421.
37. V. L. Okulov and Yasuhide Fukumoto,
Helical dipole,
Doklady Physics Vol.49, No.11 (Nov. 2004) pp.662-667.
38. Yasuhide Fukumoto and Yuji Hattori,
Curvature instability of a vortex ring,
J. Fluid Mech. Vol.526 (Mar. 2005) pp.77-115.
https://doi.org/10.1017/S0022112004002678
39. Stjepan Lugomer and Yasuhide Fukumoto,
Hierarchical instability of a vortex ring array in multipulse laser-matter interactions,
Fluid Dynamics Research Vol.36, No.4-6 (Apr. 2005) pp.277-290.
https://www.sciencedirect.com/science/article/abs/pii/S0169598305000146
40. Yasuhide Fukumoto and V. L. Okulov,
The velocity field induced by a helical vortex tube,
Phys. Fluids Vol.17, No.10 (Oct. 2005) 107101 (19 pages).
https://aip.scitation.org/doi/10.1063/1.2061427
41. Yasuhide Fukumoto, Yuji Hattori and Kaoru Fujimura,
Weakly nonlinear evolution of an elliptical flow,
Proc. of the 3rd International Conference on Vortex Flows and Vortex Models (ed. K. Kamemoto, the Japan Society of Mechanical Engineers (JSME), Nov. 2005) pp.149-154.
42. Yasuhide Fukumoto and Yuji Hattori,
Linear and nonlinear instability of a vortex ring,
Proc. of IUTAM Symposium on Elementary Vortices and Coherent Structures - Significance in Turbulence Dynamics -,
Fluid Mechanics and Applications series Vol.79 (eds. S. Kida, Kluwer, 2006) pp.283-294.
43. Yuji Hattori, Yasuhide Fukumoto and Kaoru Fujimura,
Evolution of an elliptical flow in weakly nonlinear regime,
Proc. of IUTAM Symposium on Computational Physics and New Perspectives in Turbulence (ed. Y. Kaneda, Springer, 2007) pp. 433-438.
44. Yuji Hattori, Yasuhide Fukumoto and Kaoru Fujimura,
Instability of an elliptical flow: Weakly nonlinear analysis,
Proc. of the Sixth International Conference on Advances in Fluid Mechanics "Fluid Structure Interaction and Moving Boundary Problems IV" (eds. S. K. Chakrabarti and C. A. Brebbia, WIT press, 2007) pp.193-201.
45. Yasuhide Fukumoto,
Analogy between a vortex-jet filament and the Kirchhoff elastic rod,
Fluid Dynamics Research Vol.39, No.7 (Jul. 2007) pp.511-520.
https://iopscience.iop.org/article/10.1016/j.fluiddyn.2006.12.004
46. S. Lugomer, Yasuhide Fukumoto, B. Farkas, T. Szorenyi and A. Toth,
Super-complex wave-vortex multiscale phenomena induced in laser-matter interactions,
Physical Reviews E Vol.76 (Jul. 2007) 016305 (15 pages).
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.76.016305
47. Yasuhide Fukumoto,
Analogy of a vortex-jet filament with the Kirchhoff elastic rod and its dynamical extension,
Proc. of IUTAM Symposium on Hamiltonian dynamics, vortex structure and turbulence, IUTAM Bookseries Vol.6 (eds. A.V. Borisov, V.V. Kozlov, I.S. Manaev and M.A. Sokolovskiy, Springer, 2008) pp.77-87.
48. Yasuhide Fukumoto and F. Kaplanski,
Global time evolution of an axisymmetric vortex ring at low Reynolds numbers,
Physics of Fluids Vol.20, No.5 (May, 2008) 053103 (13 pages).
https://aip.scitation.org/doi/10.1063/1.2925682
49. Yasuhide Fukumoto and H. K. Moffatt,
Kinematic variational principle for motion of vortex rings,
Physica D Vol.237, No.14-17 (Aug. 2008) pp.2210-2217.
https://www.sciencedirect.com/science/article/abs/pii/S01672789080004
50. Hirota and Y. Fukumoto,
Energy of hydrodynamic and magnetohydrodynamic waves with point and continuous spectra,
Journal of Mathematical Physics Vol.49 (Oct. 2008) 083101 (28 pages).
https://aip.scitation.org/doi/10.1063/1.2969275
51. M. Hirota and Y. Fukumoto,
Action-angle variables for the continuous spectrum of ideal magnetohydrodynamics.
Physics of Plasmas Vol.15 (Dec. 2008) 122101 (11 pages).
https://aip.scitation.org/doi/10.1063/1.3035912
52. Yasuhide Fukumoto,
A unified view of topological invariants of fluid flows,
Topologica Vol.1 (Dec. 2008) 003 (12 pages).
https://doi.org/10.3731/topologica.1.003
53. Yasuhide Fukumoto and M. Hirota,
Elliptical instability of a vortex tube and drift current induced by it,
Physica Scripta Vol.T132 (Oct. 2008) 014041 (9 pages).
https://iopscience.iop.org/article/10.1088/0031-8949/2008/T132/014041
54. Yuji Hattori and Yasuhide Fukumoto,
Short-wavelength stability analysis of a helical vortex tube,
Physics of Fluids Vol.21, No.1 (Jan. 2009) 014104 (7 pages).
https://aip.scitation.org/doi/10.1063/1.3054150
55. F. Kaplanski, S. Sazhin, Yasuhide Fukumoto, B. Steven and H. Morgan,
A generalised vortex ring model,
Journal of Fluid Mechanics Vol.622 (Mar. 2009) pp.233-258.
56. Me Me Naing and Yasuhide Fukumoto,
Local instability of an elliptical flow subjected to a Coriolis force,
J. Phys. Soc. Japan Vol.78, No. 12 (December, 2009) 124401 (7 pages).
57. Yasuhide Fukumoto,
Global time evolution of viscous vortex rings,
Theoretical and Computational Fluid Dynamics Vol.24, No.1-4 (March, 2010) pp.335-347.
https://link.springer.com/article/10.1007/s00162-009-0155-0
58. Y. Hattori and Yasuhide Fukumoto,
Short-wave stability of a helical vortex tube: the effect of torsion on the curvature instability.,
Theoretical and Computational Fluid Dynamics Vol.24, No.1-4 (March, 2010) pp.363-368.
https://link.springer.com/article/10.1007/s00162-009-0145-2
59. S. Lugomer and Yasuhide Fukumoto,
Generation of ribbons, helicoids and complex Scherk surface in laser-matter interactions,
Phys. Rev. E Vol.81 (March, 2010) 036311 (11 pages).
Figure 10 was displayed on the web site of Phys. Rev. D as part of our "Kaleidoscope" (http://pre.aps.org).
https://doi.org/10.1103/PhysRevE.81.036311
60. F. Kaplanski, S.S. Sazhin, S. Begg, Yasuhide Fukumoto and M. Heikal,
Dynamics of vortex rings and spray induced vortex ring-like structures,
European J. Mechanics B/ Fluids Vol.29 (March, 2010) pp.208-216.
https://doi.org/10.1016/j.euromechflu.2010.01.002
61. Y. Mie and Yasuhide Fukumoto,
Weakly nonlinear saturation of stationary resonance of a rotating flow in an elliptic cylinder,
Journal of Math-for-Industry Vol.2 A (April, 2010) pp.27-37.
http://hdl.handle.net/2324/17010
62. Yasuhide Fukumoto, M. Hirota and Y. Mie,
Lagrangian approach to weakly nonlinear stability of elliptical flow,
Physica Scripta Vol.T142 (Dec. 2010) 014049 (7 pages).
https://iopscience.iop.org/article/10.1088/0031-8949/2010/T142/014049
63. F. Kaplanski, Y. Fukumoto and Y. Rudi,
Reynolds-number effect on vortex ring evolution,
Proc. of the Sixth International Conference on Fluid Mechanics, AIP Conf. Proc. Vol.1376 (American Institute of Physics, 2011) pp.58-61.
https:// https://doi.org/10.1017/S0022112008005168
64. Me Me Naing and Yasuhide Fukumoto,
Local instability of a rotating flow driven by precession of arbitrary frequency,
Fluid Dynamics Research Vol.43 (August, 2011) 055502 (11 pages).
https://iopscience.iop.org/article/10.1088/0169-5983/43/5/055502
65. Yasuhide Fukumoto, M. Hirota and Y. Mie,
Energy and mean flow of Kelvin waves, and their application to weakly nonlinear stability of an elliptical flow,
In Proc. of the International Conference "Mathematical Analysis on the Navier-Stokes Equations and Related Topics, Past and Future -- in memory of Professor Tetsuro Miyakawa". Gakuto International Series, Mathematical Sciences and Applications Vol.43 (Dec. 2011) pp.53-70.
https://ci.nii.ac.jp/ncid/BB1024300X
66. F. Kaplanski, Y. Fukumoto and Y. Rudi,
Reynolds-number effect on vortex ring evolution in a viscous fluid,
Physics of Fluids Vol.24, No.3 (Mar. 2012) 033101 (13 pages).
doi: 10.1063/1.3693276
67. Y. Hattori and Yasuhide Fukumoto,
Effects of axial flow on the stability of a helical vortex tube,
Physics of Fluids Vol.24 (May, 2012) 054102 (15 pages).
https://aip.scitation.org/doi/10.1063/1.4717769
68. Oleg N. Kirillov, Frank Stefani and Yasuhide Fukumoto,
A unifying picture of helical and azimuthal MRI, and the universal significance of the Liu limit,
Astrophysical Journal Letters Vol.756, No.1 (September, 2012) 756:83 (6 pages).https://iopscience.iop.org/article/10.1088/0004-637X/756/1/83
69. Abuduwaili Paerhati and Yasuhide Fukumoto,
An example exempted from Thomson-Tait-Chetayev's theorem,
J. Phys．Soc. Japan Vol.82 (March, 2013) 043002 (4 pages).
http://dx.doi.org/10.7566/JPSJ.82.043002
70. Yasuhide Fukumoto and A. B. Samokhin,
Singular electromagnetic modes in an anisotropic medium,
Wave Motion Vol.50 (March, 2013) 481-493.
doi:10.1016/j.wavemoti.2012.11.001
71. Yasuhide Fukumoto and Hirofumi Sakuma, A unified view of topological invariants of barotropic and baroclinic fluids and their application to formal stability analysis of three-dimensional ideal gas flows,
Procedia IUTAM Vol. 7 "Topological Fluid Dynamics: Theory and Applications" (April, 2013) pp.213-222.
https://www.sciencedirect.com/science/article/pii/S2210983813000497
72. Jishan Fan, Yasuhide Fukumoto and Yong Zhou,
Logarithmically improved regularity criteria for the generalized Navier-Stokes and related equations,
Kinetic and Related Models Vol.6, No.3 (September, 2013) pp.545-556.
doi:10.3934/krm.2013.6.545
73. Yasuhide Fukumoto and Y. Mie,
Hamiltonian bifurcation theory for a rotating flow subject to elliptic straining field,
Physica Scripta Vol.T155 (2013) 014042 (10 pages).
doi:10.1088/0031-8949/2013/T155/014042
74. Yasuhide Fukumoto, M. Hirota and Y. Mie,
Note on representation of wave energy of a rotating flow in terms of dispersion relation,
In Proc. of BIRS Workshop on Spectral Analysis, Stability and Bifurcations in Nonlinear Physical Systems (eds. O.N. Kirillov and D.N. Pelinovsky, Wiley-ISTE, 2014) pp.139-153.
75. Yuji Hattori and Yasuhide Fukumoto,
Modal stability analysis of a helical vortex tube with axial flow,
Journal of Fluid Mechanics Vol.738 (January, 2014) pp.222-249.
https://doi.org/10.1017/jfm.2013.591
76. Oleg N Kirillov, Frank Stefani and Yasuhide Fukumoto,
Instabilities of rotational flows in azimuthal magnetic fields of arbitrary radial dependence,
Fluid Dynamics Research Vol.46 (June, 2014) 031403 (14 pages).
https://iopscience.iop.org/article/10.1088/0169-5983/46/3/031403
77. Youhei Kawazura, Zensho Yoshida and Yasuhide Fukumoto,
Relabeling symmetry in relativistic fluids and plasmas,
Journal of Physics A: Mathematical and Theoretical Vol.47 (Oct, 2014) 465501 (17 pages).
https://iopscience.iop.org/article/10.1088/1751-8113/47/46/465501
78. Oleg N. Kirillov, Frank Stefani and Yasuhide Fukumoto,
Local instabilities in magnetized rotational flows: A short-wavelength approach,Journal of Fluid Mechanics Vol.760 (November, 2014) pp.591-633.
https://doi.org/10.1017/jfm.2014.614
79. Rong Zou and Yasuhide Fukumoto,
Local stability analysis of azimuthal magnetorotational instability of ideal MHD flows,
Progress of Theoretical and Experimental Physics (PTEP) Vol.2014 (November, 2014) 113J01 (18 pages).
https://academic.oup.com/ptep/article/2014/11/113J01/2929821
80. Snezhana I Abarzhi, Yasuhide Fukumoto and Leo P Kadanoff,
Stability of a hydrodynamic discontinuity,
Physica Scripta Vol.90 (January, 2015) 018002 (7 pages),
https://iopscience.iop.org/article/10.1088/0031-8949/90/1/018002
81. Yasuhide Fukumoto and Y. Mie,
Lagrangian approach to weakly nonlinear interaction of Kelvin waves and a symmetry-breaking bifurcation of a rotating flow,
Fluid Dynamics Research Vol.47 (February, 2015) 015509 (15 pages).
https://iopscience.iop.org/article/10.1088/0169-5983/47/1/015509
82. Jishan Fan, Ahmed Alsaedi, Yasuhide Fukumoto, Taswar Hayat and Yong Zhou,
A regularity criterion for the denity-dependent Hall-magnetohydrodynamics,
Z. Anal. Angew. (Zeitschrift fur Analysis und ihre Angewendungen: ZAA) Vol.34 (June, 2015) 277-284.
DOI: 10.4171/ZAA/1539
83. Hirofumi Sakuma and Yasuhide Fukumoto,
On formal stability of stratified shear flows,
Publ. RIMS Kyoto Univ. Vol.51 (September, 2015) pp.605-633.
https://ems.press/journals/prims/articles/13440
84. Jishan Fan, Yasuhide Fukumoto, Gen Nakamura and Yong Zhou,
Regularity criteria for the incompressible Hall-MHD system,
Z. Angew. Math. Mech. (Zeitschrift fur Angewandte Mathematik und Mechanik: ZAMM) Vol.95, No. 11 (November, 2015) pp.1156-1160.
DOI: 10.1002/zamm.201400102
85. Yasuhide Fukumoto, Valery L. Okulov and David H. Wood,
The contribution of Kawada to the analytical solution for the velocity induced by a helical vortex filament,
Applied Mechanics Reviews Vol.6 (November, 2015) 060801 (6 pages).
https://doi.org/10.1115/1.4031964
86. Michael I. Tribelsky and Yasuhide Fukumoto,
Laser heating of dielectric particles for medical and biological applications,
Biomedical Optics Express Vol.7, No. 7 (July, 2016) 263677 (8 pages).
DOI:10.1364/BOE.7.002781
87. Hemanta Hazarika and Yasuhide Fukumoto
Sustainable solution for seawall protection against tsunami-induced damage,
International Journal of Geomechanics ASCE Vol.16, No.5 (October, 2016) p.687.
http://dx.doi.org/10.1061/(ASCE)GM.1943-5622.0000687
88. Yasuhide Fukumoto, Valery L. Okulov and David H. Wood,
The contribution of Kawada to the analytical solution for the velocity induced by a helical vortex filament and modern applications of helical vortices,
in Mathematical Analysis of Continuum Mechanics and Industrial Applications, Proceedings of the International Conference CoMFoS15, Springer Series Mathematics for Industry (December, 2016) pp.167-174.
DOI: 10.1007/978-981-10-2633-1_12
89. Fermin Franco Medrano, Yasuhide Fukumoto, Clara Marika Velte and Azur Hodzic,
Mass entrainment rate of an ideal momentum turbulent round jet,
J. Phys. Soc. Japan Vol.86 (February, 2017) 034401 (10 pages).
https://doi.org/10.7566/JPSJ.86.034401
90. Hemanta Hazarika, Tadashi Hara and Yasuhide Fukumoto,
Resilient and sustainable geotechnical solution: Lessons learned from the 2011 Great East Japan disaster,
Chapter 9, Springer Transactions in Civil and Environmental Engineering (Eds. G.L. Sivakumar Babu, Sireesh Saride and B. Munwar Basha, 2017) pp.125-151.
DOI: /10.1007/978-981-10-1930-2
91. Ummu Habibah, Hironori Nakagawa and Yasuhide Fukumoto,
Finite-thickness effect on speed of a counter-rotating viscous vortex pair,
Fluid Dynamics Research Vol.50, No.3 (March, 2018) 031401 (27 pages).
https://iopscience.iop.org/article/10.1088/1873-7005/aaa5c8/meta
92. Winston L. Sweatman, Graham Weir, Anton Gulley, Daniel Clarke, Yasuhide Fukumoto, J. F. Harper and Sibylle Van Hove,
Initialising finisher gaps in a hot strip mill,
ANZIAM Journal Vol.58 (May, 2018) M301-M327.
https://doi.org/10.21914/anziamj.v58i0.12433
93. Stjepan Lugomer and Yasuhide Fukumoto,
Supercomplex network of bistable coilled vortex filaments and ribbons in laser-matter interaction,
Journal of Modern and Applied Physics Vol.2, No.2 (2018) pp.1-9.
https://www.pulsus.com/scholarly-articles/supercomplex-network-of-bistable-coiled-vortex-filaments-and-ribbons-in-lasermatter-interactions-4600.html
94. D.V. Ilyin, Yasuhide Fukumoto, W. A. Goddard III and S. I. Abarzhi,
Analysis of dynamics, stability and flow fields' structure of an accelerated hydrodynamic discontinuity with interfacial mass flux by a general matrix method,
Physics of Plasmas Vol.25 (November, 2018) 112105 (19 pages).
https://aip.scitation.org/doi/10.1063/1.5008648
95. Yasuhide Fukumoto and Xiaopeng Zhao,
Well-posedness and large time behavior of solutions for the electron inertial Hall-MHD system,
Advanced in Differential Equations Vol.24, No.1, 2 (January, 2019) pp.31-68.
https://projecteuclid.org/euclid.ade/1544497234
96. Liangbing Jin, Thi Thai Le and Yasuhide Fukumoto,
Frictional effect on stability of discontinuity interface in tangential velocity of a shallow-water flow,
Physics Letters A Vol.383, No.26 (July, 2019) 125839 (5 pages).
https://doi.org/10.1016/j.physleta.2019.125839
97. Rong Zou, Joris Labarbe, Oleg N. Kirillov and Yasuhide Fukumoto,
Analysis of azimuthal magnetorotational instability of rotating magnetohydrodynamic flows and Tayler instability via an extended Hain-Lust equation,
Physical Review E Vol.101 (January, 2020) 013201 (22 pages).
https://journals.aps.org/pre/abstract/10.1103/PhysRevE.101.013201
98. Fengnan Liu, Yashuhide Fukumoto and Xiaopeng Zhao,
Stability analysis of the explicit difference scheme for Richards equation,
Entropy Vol.22 (3) (March, 2020) 352 (8pp).
https://doi.org/10.3390/e22030352
99. Liu Fengnan, Yashuhide Fukumoto and Xiaopeng Zhao,
A linearized finite difference scheme for the Richards equation under variable-flux boundary conditions,
Journal of Scientific Computing (J. Sci. Comput.) Vol.83 (March, 2020) 16 (21 pages).
100. Jishan Fan, Yashuhide Fukumoto and Yong Zhou,
Regularity criteria for a Ginzburg-Landau-Navier-Stokes in superfluidity in R^n, Mathematical Methods in the Applied Sciences Vol.43 (10) (April 2020) pp.6542-6552.
DOI:10.1002/mma.6397
101. A.B. Samokhin and Yasuhide Fukumoto,
Singular modes of the integral scattering operator in anisotropic inhomogeneous media,
Differential Equations Vol.56, No.9 (October, 2020) pp.1212-1218.
https://doi.org/10.1134/S0012266120090104
102. V.L. Okulov and Yasuhide Fukumoto,
Analytical solution for self-induced motion of a helical vortex with a Gaussian core,
Thermophysics and Aeromechanics Vol.27, No.4 (December, 2020) pp.481-488.
https://doi.org/10.1134/S0869864320040022
103. Keigo Wada and Yasuhide Fukumoto,
Compressibility effect on Markstein number for a flame front in long-wavelength approximation,
In 2019-20 MATRIX Annals (Springer, 2020) pp.329-350.
https://doi.org/10.1007/978-3-030-62497-2_19
104. Mako Sato and Yasuhide Fukumoto,
Influence of an oblique magnetic field on planar flame front instability,
In 2019-20 MATRIX Annals (Springer, 2020) pp.439-459.
https://doi.org/10.1007/978-3-030-62497-2_26
105. V. L. Okulov and Yasuhide Fukumoto,
Singular approximation for calculation of vortex filaments,
Journal of Applied Mechanics and Technical Physics Vol.62 (September, 2021) pp.519-524.
https://doi.org/10.1134/S0021894421030196
106. X. Zhao, F. Liu and Yasuhide Fukumoto,
A multi level linearized Crank-Nicolson scheme for Richards equation under variable flux boundary conditions,
Applicable Analysis (Appl. Anal.) (October, 2021) online.
https://doi.org/10.1080/00036811.2021.1992395
107. K. Kuwana, K. Matsue, Yasuhide Fukumoto, R. Dobashi and K. Saito,
Fire whirls: a combustion science perspective,
Combustion Science and Technology (January, 2022) online.
https://www.tandfonline.com/doi/full/10.1080/00102202.2021.2019234
108. V.L. Okulov and Yasuhide Fukumoto,
Review of analytical approaches for simulating motions of helical vortex,
Frontiers in Energy Research (Front. Energy Res.) Vol.15 (February, 2022) 817941 (6 pages).
https://www.frontiersin.org/articles/10.3389/fenrg.2022.817941/full
109. D. Packwood, L.T.H. Nguyen, P. Cesana, G. Zhang, A. Staykov, Yasuhide Fukumoto and D.H. Nguyen,
Machine learning in materials chemistry: An invitation,
Machine Learning with Application Vol.8 (June, 2022) 100265 (31 pages).
https://doi.org/10.1016/j.mlwa.2022.100265
110. T.T. Le and Yasuhide Fukumoto,
Effect of depth discontinuity on interfacial stability of tangential-velocity discontinuity in shallow-water flow,
Physics Letters A Vol.436 (June, 2022) 128073 (7 pages).
https://doi.org/10.1016/j.physleta.2022.128073
111 Kazuo Matsuura and Yasuhide Fukumoto,
Hierarchical clustering method of volumetric vortical regions with application to the late-stage of laminar-turbulent transition,
Physical Review Fluids Vol.7 (May, 2022) 054703 (46 pages).
https://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.7.054703
112. Yasuhide Fukumoto and Rong Zou,
Isomagnetovortical perturbations and wave energy of MHD flows,
Reviews of Modern Plasma Physics Vol.7 (January, 2023) 8 (21 pages).
https://doi.org/10.1007/s41614-023-00113-8
113. Linh Thi Hoai Nguyen, Yasuhide Fukumoto, Pierluigi Cesana and Aleksandar Staykov,
Fully automatized optimization of ring-opening reactions in lactone derivatives via 2-step machine learning,
Journal of Physical Chemistry A Vol.127 (November, 2023) pp.10159-10170.
https://doi.org/10.1021/acs.jpca.3c05887
114. Thi Thai Le, Yasuhide Fukumoto and Thorsten Koch,
Linear stability of a simple shear layer between two parallel streams in a
shallow water flow,
Physics Letters A Vol.493 (January, 2024) 129264 (7 pages).
https://doi.org/10.1016/j.physleta.2023.129264
115. Yasuhide Fukumoto and Rong Zou,
Nambu bracket for 3D ideal fluid dynamics and magnetohydrodynamics,
Prog. Theor. Exp. Phys. (PTEP) Vol.2024 (February, 2024) ptae025 (31 pages).
https://doi.org/10.1093/ptep/ptae025
116. Milton Assuncao, Pierluigi Cesana, Yasuhide Fukumoto, Graeme Hocking, Michael Vynnycky and Doireann O'Kiely,
Optimal design of observation holes on strainers for groundwater measurements, MMathematics in Industry Reports (MIIR) (August, 2024) online.
https://www.cambridge.org/engage/miir/search-dashboard?text=ESGI173
日本語記事他
1. 福本 康秀,
竜門賞受賞記念解説:「軸方向流を伴う渦糸の３次元運動」
ながれ Vol.13, No.2 (1994) pp.84-98.
2. 福本 康秀,
流体力学用語解説: 「渦糸 (Vortex filament)」
ながれ Vol.1, No.1 (1995) pp.75-76.
3. 福本 康秀,
流体力学ハンドブック 第 2 版, 5 章「渦」,
日本流体力学会編，丸善 (1998年5月) pp.162-170, 173-180, 189-201.
4. 福本 康秀,
「渦糸をめぐる可積分系
数学セミナー 別冊 数学の楽しみ No.25，日本評論社 (2001年6月号) pp.21-31.
5. 福本 康秀,
「Euler-Poincare 形式による渦のトポロジーと力学」,
物性研究 (物性研究刊行会, 京都大学・湯川記念館) Vol.81, No.3 (2003年12月号) pp.414-442.
6. 福本 康秀,
ながれの事典, 3章4節「渦運動」,
(編集委員長 神部勉，丸善) (Mar. 2004) pp.18-22.
7. 福本 康秀,
「オイラー・ポアンカレ形式による渦のトポロジーと力学」
数理物理への誘い Vol.5 (河東泰之編，遊星社，2005年2月) pp.98-121.
8. 福本 康秀,
「渦運動の基礎知識，1. 渦度の運動学と力学」,
ながれ Vol.24, No.2 (2005) pp.207-219,
「2. 点渦系」
ながれ Vol.24, No.3 (2005) pp.327-340,
「3. 渦層」
ながれ Vol.24, No.4 (2005) pp.443-457,
「4. 渦領域」
ながれ Vol.24, No.5 (2005) pp.553-568,
「5. 粘性流体中の渦管」
ながれ Vol.25, No.1 (2006) pp.61-77,
「6. 渦輪」
ながれ Vol.25, No.3 (2006) pp.265-280,
「7. 渦管の 3 次元運動」
ながれ Vol.25, No.4 (2006) pp.391-408.
9. Y. Fukumoto,
On analogy between elastica hypoarealis and equilibrium form of a vortex filament in a jet.
In Festschrift in honour of Professor Tsutomu Kambe (eds. M. Umeki, 2006) pp.149-152.
10. 福本 康秀,
学術会合報告「EE250 会議概要報告」,
応用数理 Vol.17, No.4 (日本応用数理学会編，岩波書店，Dec. 2007) pp.87-88.
11. 福本 康秀,
第5章「渦を破壊せよ」in 「技術に生きる現代数学」(若山正人編，岩波書店, 総ページ数 206，2008.2) pp.133-174. [若山正人, 二宮嘉行, 谷口説男,
金子昌信, 福本康秀, 佐伯修]
12. 福本 康秀,
オイラー方程式の南部力学表現について,
ながれ, Vol.28, No.6 (2009, 12月) pp.499-500.
https://dl.ndl.go.jp/info:ndljp/pid/8766159
13. 福本 康秀,
新著紹介： Zensho Yoshida 著
"Nonlinear Science: Challenge of Complex Systems",
日本物理学会誌, Vol.66, No.3 (2011, 3月) p.232.
14. 福本 康秀,
「非線形シュレディンガー方程式による流れのモデル化」in 「数学モデリングの手引き」(編集 西井龍映, 栄伸一郎，岡田勘三，落合啓之, 小磯深幸, 白井朋之, 2013.3).
15. Y. Fukumoto,
"Modeling of Fluid Flows by Nonlinear Schrodinger Equation",
In A Mathematical Approach to Research Problems of Science and Technology Series:
Mathematics for Industry, Vol.5 (eds: Nishii, R., Ei, S.-I., Koiso, M., Ochiai, H., Okada,
K., Saito, S., Shirai, T., Springer, 2014) pp.365-378.
16. Y. Fukumoto,
Chap. 12 "Exact and Approximate Solutions" in Part II CLASSICAL FLUID DYNAMICS, CRC Handbook
of Fluid Dynamics, 2nd ed. (Editor-in-Chief: Richard W. Johnson, CRC Press of Taylor and
Francis Group publishers, 2015).
17. 福本 康秀,
「南部の流体力学を読み解く～素粒子物理学者の眼から見た流体力学～」
数理科学 Vol.54, No.634, サイエンス社 (2016年4月号) pp.7-13.
18. 福本 康秀,
「ベクトル解析と流体力学」
数学セミナー Vol.58, No.8 (694), 日本評論社 (2019年8月号) pp.12-19.
19. 福本 康秀,
古典力学の安定性解析：コマから流体の運動まで,
ながれ, Vol.41, No.5 (2022, 10月) pp.330-335.
竜門賞受賞記念解説:「軸方向流を伴う渦糸の３次元運動」
ながれ Vol.13, No.2 (1994) pp.84-98.
2. 福本 康秀,
流体力学用語解説: 「渦糸 (Vortex filament)」
ながれ Vol.1, No.1 (1995) pp.75-76.
3. 福本 康秀,
流体力学ハンドブック 第 2 版, 5 章「渦」,
日本流体力学会編，丸善 (1998年5月) pp.162-170, 173-180, 189-201.
4. 福本 康秀,
「渦糸をめぐる可積分系
数学セミナー 別冊 数学の楽しみ No.25，日本評論社 (2001年6月号) pp.21-31.
5. 福本 康秀,
「Euler-Poincare 形式による渦のトポロジーと力学」,
物性研究 (物性研究刊行会, 京都大学・湯川記念館) Vol.81, No.3 (2003年12月号) pp.414-442.
6. 福本 康秀,
ながれの事典, 3章4節「渦運動」,
(編集委員長 神部勉，丸善) (Mar. 2004) pp.18-22.
7. 福本 康秀,
「オイラー・ポアンカレ形式による渦のトポロジーと力学」
数理物理への誘い Vol.5 (河東泰之編，遊星社，2005年2月) pp.98-121.
8. 福本 康秀,
「渦運動の基礎知識，1. 渦度の運動学と力学」,
ながれ Vol.24, No.2 (2005) pp.207-219,
「2. 点渦系」
ながれ Vol.24, No.3 (2005) pp.327-340,
「3. 渦層」
ながれ Vol.24, No.4 (2005) pp.443-457,
「4. 渦領域」
ながれ Vol.24, No.5 (2005) pp.553-568,
「5. 粘性流体中の渦管」
ながれ Vol.25, No.1 (2006) pp.61-77,
「6. 渦輪」
ながれ Vol.25, No.3 (2006) pp.265-280,
「7. 渦管の 3 次元運動」
ながれ Vol.25, No.4 (2006) pp.391-408.
9. Y. Fukumoto,
On analogy between elastica hypoarealis and equilibrium form of a vortex filament in a jet.
In Festschrift in honour of Professor Tsutomu Kambe (eds. M. Umeki, 2006) pp.149-152.
10. 福本 康秀,
学術会合報告「EE250 会議概要報告」,
応用数理 Vol.17, No.4 (日本応用数理学会編，岩波書店，Dec. 2007) pp.87-88.
11. 福本 康秀,
第5章「渦を破壊せよ」in 「技術に生きる現代数学」(若山正人編，岩波書店, 総ページ数 206，2008.2) pp.133-174. [若山正人, 二宮嘉行, 谷口説男,
金子昌信, 福本康秀, 佐伯修]
12. 福本 康秀,
オイラー方程式の南部力学表現について,
ながれ, Vol.28, No.6 (2009, 12月) pp.499-500.
https://dl.ndl.go.jp/info:ndljp/pid/8766159
13. 福本 康秀,
新著紹介： Zensho Yoshida 著
"Nonlinear Science: Challenge of Complex Systems",
日本物理学会誌, Vol.66, No.3 (2011, 3月) p.232.
14. 福本 康秀,
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