九州大学 研究者情報
発表一覧
福本 康秀(ふくもと やすひで) データ更新日:2021.06.27

教授 /  マス・フォア・インダストリ研究所 応用理論研究部門


学会発表等
1. 福本 康秀,Rong ZOU, 電磁流体方程式の南部力学表現, 日本物理学会第76回年次大会, 2021.03, オイラー方程式・電磁流体方程式は非正準ポアソン方程式の形に書き表わせる.ポアソン構造は退化しており,カシミール不変量の存在を許す.このカシミール不変量を陽に利用して,ポアソン括弧を南部括弧で表現する..
2. Yasuhide Fukumoto,Fengnan Liu,Xiaopeng Zhao, A finite difference scheme for the Richards equation under variable-flux boundary conditions, 1st International Symposium on Construction Resources for Environmentally Sustainable Technologies (CREST2020), 2021.03, The Richards equation is a degenerate nonlinear partial differential equation which serves as a model for the percolation of water into a porous medium under the influence of gravity. Recently even in regions of mid latitudes, heavy rains or showers attack with a larger frequency. This trend is more so as years pass by. Typhoons and hurricanes also have a tendency to grow strong, accompanied by concentrated rains as well as strongly blowing wind, due to the temperature rise of the sea surface. A drastically heavy rain may cause floods of rivers. In case a heavy rain lasts for a long time, landslides may take place in regions at the foot of a mountain and under a cliff. Prevention of such natural disasters associated with heavy rains is an issue of the highest demand for saving human lives. This investigation develops numerical method for the one-dimensional Richards equation. Implicit schemes based on a backward Euler format have been widely used in calculating it. However, it is difficult to obtain stability with a numerical scheme because of the strong nonlinearity and degeneracy. We establish a linearized semi-implicit finite difference scheme that is faster than backward Euler implicit schemes. We analyze the stability of this scheme by adding a small perturbation to the coefficient function of the Richards equation. It is found that there is a linear relationship between the discretization error in a certain norm and the perturbation strength..
3. Kazuo Matsuura, Yasuhide Fukumoto, Pedestrian stream flow analysis to detect people conglomerates and disperse states for COVID-19 prevention measures in crowded spaces, 1st Virtual International Study Group on Mathematical Solutions to Industrial and Social Problems, 2020.12.
4. 福本康秀, 電磁流体のトポロジーと磁気回転不安定性, 第18回日本流体力学会中部支部講演会講演会, 2021.11.
5. Yasuhide Fukumoto,Rong ZOU, Topological invariants and Nambu brackets in fluid mechanics and magnetohydrodynamics, 17h International Conference on Flow Dynamics (ICFD2020), 2020.10, The dynamics of a neutral and an electrically conducting fluids is governed by the Lie-Poisson equation. This is a non-canonical Hamiltonian equation, and the degeneracy of the Hamiltonian structure admits Casmir invariants. The Lie-Poisson bracket is rewritten in terms of the Nambu bracket, which manifests the Casimirs hidden in it. The Casimirs are characterized, by Noether's theorem, as the integral invariants corresponding to the particle relabeling symmetry group..
6. Yasuhide Fukumoto,Rong ZOU, Casimirs and Nambu brackets for fluid dynamics and magnetohydrodynamics, 大阪市立大学数学研究所・共同利用研究 pace-time topology behind formation of micro-macro magneto-vertical structure manifested by Nambu mechanics, 2020.09, 電磁流体の運動(MHD)においては、全質量、全エントロピー、磁気ヘリシティに加えて、クロスヘリシティがカシミール不変量である。この4個のカシミール不変量を用いて、MHDのリー・ポアッソン方程式(Morrison and Green 1980)が南部括弧によって表現できることを示した。クロスヘリシティがカシミール不変量でないことが、20世紀末からの懸案であったが、南部力学表現はこの問題を自動的に完全解決する。.
7. 福本康秀,Rong ZOU, オイラー・電磁流体方程式の南部力学表現, 日本流体力学会年会2020, 2020.09, オイラー方程式・電磁流体方程式は非正準ポアソン方程式の形に書き表わせる.ポアソン構造は退化しており,カシミール不変量の存在を許す.このカシミール不変量を陽に利用して,ポアソン括弧を南部括弧で表現する..
8. 福本康秀,Rong ZOU, MHDのトポロジカル不変量再考, 日本物理学会秋季大会, 2020.09, 密度成層流においてはバロクリニック効果によって,電磁流体 (MHD) においてはローレンツ効果によって,渦度はもはや凍結場ではなり,ヘリシティは不変量ではなくなる.そこで,オイラー・ポアンカレ方程式の変分原理の枠組みで,粒子ラベルつけ替え対称性に対応するネータ電荷をポロジカル不変量と定義すると,いずれの場合も,クロスヘリシティの形をとる.これが含む内容について考える..
9. Yasuhide Fukumoto & Keigo Wada, Effect of compressibility in the reaction zone of a premixed flame and its implication to the Darrieus-Landau instability, KIAS Workshop on Mathematics of Fluid Motion III: Theory and Computation, 2019.12.
10. Yasuhide Fukumoto & Thi Thai LE, Stability of finite shear layer of shallow-water flow, 10-th International School for Young Scientists "WAVES AND VORTICES IN COMPLEX MEDIA", 2019.12.
11. Yasuhide Fukumoto, Keigo Wada & Abarzhi Snezhana, Effect of compressibility on laminar flame speed and its influence on the Darrieus-Landau instability of a planar front of premixed flame, 72th Annual Meeting of the APS Division of Fluid Dynamics, 2020.06.
12. Yasuhide Fukumoto & Keigo Wada, Effect of compressibility in the reaction zone of a premixed flame and its implication to the Darrieus-Landau instability, MATRIX: Conservation Laws, Interfaces, and Mixing, 2019.11.
13. Yasuhide Fukumoto, Topological aspects of fluid dynamics with application to vortex motion, JASSO平成31年度帰国外国人留学生研究指導事業, 2019.10.
14. Yasuhide Fukumoto, Initiative of APCMfI for promoting international collaboration of industrial mathematics in East, The 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019), 2019.07.
15. Keigo Wada, Yasuhide Fukumoto, Effect of compressibility on laminar flame speed and its stabilizing effect on Darrieus-Landau instability of a premixed flame front, 12th Asia-Pacific Conference on Combustion, ASPACC 2019, 2019.07, The compressibility effect on a premixed flame front is investigated for small Mach numbers Ma in terms of M2 expansions. We extend the method of matched asymptotic expansions to O(Ma2) in which a flame front consists of he reaction and the preheat zones, By an asymptotic analysis of the reaction zone, we establish a rapid decrease of the laminar flame speed S-L with Ma and a volumetric heat loss, of compressibility origin, brought by the pressure variation in the heat-conduction equation, which has been gone neglected in the zero-Mach-number limit. Together with O(Ma2) effect, this dramatic decrease in S-L brings in stabilization of the Darrieus-Landau instability, the linear instability of a plane flame front..
16. Yasuhide Fukumoto, Abarzhi Snezhana & Keigo Wada, Effect of compressibility on Darrieus-Landau instability of a premixed flame front and role of vorticity production, IUTAM Symposium on Vortex dynamics in science, nature and technology, 2019.06.
17. Yasuhide Fukumoto, Liu Fengnan & Xiaopeng Zhao, A finite difference scheme for the Richards equation under variable-flux boundary conditions, Workshop ANDE 2019: Applications of Nonlinear Diffusion Equations, 2019.06.
18. Yasuhide Fukumoto, Keigo Wad, Thi Thai LE & Abarzhi Snezhana, Modeling compressible combustion flame and shear flow of a river by interfaces of velocity discontinuity, Ajou-Kyushu joint workshop on Industrial Mathematics, 2018.12.
19. Yasuhide Fukumoto & Yuki Miyachi , Gyroscopic analogy of a rotating stratified flow confined in a tilted spheroid with a heavy symmetrical top with the top axis misaligned from the axis of symmetry, Program: Hamiltonian systems, from topology to applications through analysis, Workshop: Hamiltonian systems, from topology to applications through analysis II, 2018.11.
20. Yasuhide Fukumoto, Keigo Wada & Abarzhi Snezhana, Compressibility effect on volumetric heat loss and its influence on the Darrieus-Landau instability of a planar front of premixed flame, 71th Annual Meeting of the APS Division of Fluid Dynamics, 2018.11.
21. Yasuhide Fukumoto, Keigo Wada & Abarzhi Snezhana, Generation of vorticity and its influence on the stability of a premixed flame front of a compressibile flow, 15h International Conference on Flow Dynamics (ICFD2018), 2018.11.
22. Yasuhide Fukumoto & Valery L. Okulov, Asymptotic expansions for motion of a curved vortex filament tube will elliptically deformed core, 4th International Retreat on Vortical Flow and Aerodynamics (IRVA4), 2018.10.
23. Yasuhide Fukumoto, Initiative for advanced innovation by promoting collaboration of mathematics and mathematical sciences with other fields and industry, Elsevier KOREA-JAPAN Symposium on The 4th Industrial Revolution, 2018.09.
24. Yasuhide Fukumoto & Yuki Miyachi, Mechanical Analogue of a rotating flow of a stratified fluid confined in a spheroid, International Workshop "Marine measurements in Hydrophysics and Geophysics", 2018.08.
25. Yasuhide Fukumoto & Thi Thai LE , Frictional effect om Kelvin-Helmholtz problem of a shallow-water flow"
International Conference "Flux and Structure in Fluids, International Conference "Flux and Structure in Fluids", 2018.08.
26. Yasuhide Fukumoto, Thi Thai LE & Liangbing JIN, Friction induced instability of surface of velocity discontinuity of a shallow-water flow, 5th International Conference on Mathematical Theory of Turbulence via Harmonic Analysis and Computational Fluid Dynamics, 2018.03.
27. Yasuhide Fukumoto & Yuki Miyachi, Gyroscopic analogy of a rotating stratified flow confined in a tilted spheroid and its implication to stability of a heavy symmetrical top, 70th Annual Meeting of the APS Division of Fluid Dynamics, 2017.11.
28. Yasuhide Fukumoto, Thi Thai LE & Liangbing JIN, Frictional effect on linear stability of interface of tangential velocity discontinuity in shallow water, 8-th International School for Young Scientists "WAVES AND VORTICES IN COMPLEX MEDIA", 2017.11.
29. Yasuhide Fukumoto & Yuki Miyachi, Gyroscopic analogy of Coriolis force for stabilizing a rotating stratified flow confined in a spheroid, 14h International Conference on Flow Dynamics (ICFD2017), 2017.11.
30. Yasuhide Fukumoto, Introduction to topological fluid dynamics and magnetohydrodynamics, ISTITUTO NAZIONALE DI ALTA MATEMATICA (INdAM), GRUPPO NAZIONALE PER LA FISICA MATEMATICA (GNFM) , 2017.09.
31. Yasuhide Fukumoto & Yuki Miyachi, Gyroscopic analogies of rotating flows of a strongly stratified fluid confined in a spheroid, International Conference Vortices and coherent structures: from ocean to microfluids, 2017.08.
32. Yasuhide Fukumoto & Yuki Miyachi, Gyroscopic analogy of Coriolis effect for stabilizing a rotating stratified flow confined in a spheroid, Turbulent Mixing and Beyond Workshop Sixth International Conference -Tenth Anniversary, 2017.08.
33. Ummu Habibah, Yasuhide Fukumoto, A counter-rotating vortex pair in inviscid fluid, International Conference and Workshop on Mathematical Analysis and its Applications, ICWOMAA 2017, 2017.08, [URL], We study the motion of a counter-rotating vortex pair with the circulations ±Γ move in incompressible fluid. The assumption is made that the core is very thin, that is the core radius σ is much smaller than the vortex radius d such that ϵ = σ/d ≤ 1. With this condition, the method of matched asymptotic expansion is employed. The solutions of the Navier-Stokes equations and the Biot-Savart law, regarding the inner and outer solutions respectively, are constructed in the form of a small parameter. An asymptotic expansion of the Biot-Savart law near the vortex core provides with the matching condition for an asymptotic expansion for limiting the Navier-Stokes equations for large radius r. The general formula of an anti-parallel vortex pair is established. At leading order O(ϵ), we apply the special case in inviscid fluid, the Rankine vortex, a circular vortex of uniform vorticity. Furthermore at leading order O(ϵ5) we show the traveling speed of a vortex pair..
34. Yasuhide Fukumoto & Yuki Miyachi, Gyroscopic analogy of a rotating stratified flow confined in a spheroid and its implication to stability, Tohoku Forum for Creativity Thematic Program 2017 Nonlinear PDE for Future Applications ー Evolution Eq. and Mathematical Fluid Dynamics ー, 2017.07.
35. Yasuhide Fukumoto & Yuki Miyachi, Gyroscopic analogy of Coriolis force on a rotating stratified flow confined in a spheroid, IUTAM symposium “Dynamics and Topology of Vorticity and Vortices”, 2017.06.
36. Yasuhide Fukumoto, Rong Zou and Oleg N. Kirillov, Short-wavelength analysis of magnetorotational instability of resistive MHD flow, 京大数理解Workshop: Applied Mathematics , 2016.11.
37. Yasuhide Fukumoto, IMI Activities with Industry, Second Chile-Japan Academic Forum at Patagonia, 2016.11.
38. Yasuhide Fukumoto & Ummu Habibah, Motion of a vortex pair at high and low Reynolds numbers, 24th International Congress of Theoretical and Applied Mechanics (ICTAM 2016), 2016.08.
39. Yasuhide Fukumoto, Lagrangian approach to spectra and energy of Kelvin waves on a vortex core, RIMS International Project Research 2016 Fluid Dynamics of Near-Wall Turbulence International Workshop on Theoretical Aspects of Near-Wall Turbulence Studies, 2016.06.
40. Yasuhide Fukumoto, Valery L. Okulov & David H. Wood, Kawada's contribution to induced velocity by helical vortices with its application to propeller theory, EUROMECH Colloquium 581 "Dynamics of Concentrated Vortices", 2016.05.
41. Yasuhide Fukumoto, Are all the topological invariants of vorticity representable as cross-helicities?, IUTAM symposium “Helicity, Structures and Singularity in Fluid and Plasma Dynamics”, 2016.04.
42. Yasuhide Fukumoto & H. K. Moffatt, Topological idea combined with asymptotic expansions for vortex motion, IMI-La Trobe Joint Conference "Mathematics for Materials Science and Processing", 2016.02.
43. Yasuhide Fukumoto & Ummu Habibah , Motion of a counter-rotating vortex pair in a viscous fluid, Second International ACCA-JP/UK Workshop, 2016.01.
44. Yasuhide Fukumoto, Hironori Nakagawa & Ummu Habibah, A higher-order asymptotic formula for velocity of a viscous vortex pair, The Eighth International Conference on Sciences and Mathematics Education in Developing Countries, 2015.12.
45. Yasuhide Fukumoto & Ummu Habibah, A higher-order asymptotic formula for velocity of a viscous vortex pair, 68th Annual Meeting of the APS Division of Fluid Dynamics, 2015.11.
46. Yasuhide Fukumoto, Valery L. Okulov & 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, 15th International Conference CoMFoS15: Mathematical Analysis of Continuum Mechanics and Industrial Applications, 2015.11.
47. Yasuhide Fukumoto, Hironori Nakagawa & Ummu Habibah, A higher-order asymptotic formula for traveling speed of a counter-rotating vortex pair, International Workshop on “the Multi-Phase Flow; Analysis, Modelling and Numerics", 2015.11.
48. Yasuhide Fukumoto, Hironori Nakagawa & Ummu Habibah, Motion of a vortex pair and its application to industry, Workshop / Summer School on "Fluid-structure interactions and vortex dynamics in aerodynamics", 2015.06.
49. Yasuhide Fukumoto & Yuki Miyachi, Mechanical analogue of a rotating flow of a strongly stratified fluid confined in an ellipsoid as mathematics for industry, 18h INTERNATIONAL CONFERENCE “FLUXES AND STRUCTURES IN FLUIDS”, 2015.06.
50. Yasuhide Fukumoto, Yohei Kawazura and Zensho Yoshida, Are all the topological invariants representable as cross-helicities?, Knots and Links in Fluid Flows - From Helicity to Knot Energy, 2015.06.
51. H. Hazarika, K. H. Pradhan, Y. Fukumoto, N. Yasufuku, R. Ishikura, N. Hirayu, Protection of seawall against earthquake and tsunami using flexible material, 14th International Conference of International Association for Computer Methods and Recent Advances in Geomechanics, IACMAG 2014, 2015.01, In March 11, 2011 tsunami activated by the 2011 off the pacific coast of Tohoku Earthquake led to several compound disasters in Japan. Many coastal protection structures such as seawalls and breakwaters were damaged seriously but, surprisingly a waste tire retaining wall, located just about 150 m away from a completely collapsed seawall was found to be undamaged. In order to demonstrate how effectively these tires will function against the earthquake and tsunami to protect seawall, a new model was developed and tsunami impact force experiments were performed for a sea wall with model tires behind it (land side). Results from the tsunami impact force experiments showed a better performance of the sea wall when protected with tires placed behind the seawall. At the same time, field test were conducted by cultivating different kind of plants inside the actual tires to maintain the environment. The field test results showed that the greening effect could be maintained by planting trees inside the tires..
52. Yasuhide Fukumoto, Rong Zou, Azimuthal magnetorotational instabilities to non-axisymmetric perturbations, 67th Annual Meeting of the APS Division of Fluid Dynamcs, 2014.11.
53. 福本 康秀, Rong Zou, Local and global analyses of azimuthal magnetorotational instability, The 8th CREST-SBM International Conference on Mathematical Fluid Dynamics, Present and Future, 2014.11.
54. Yasuhide Fukumoto, Rong Zou, Topological magnetohydrodynamics and its application to azimuthal magnetorotational instability, The Seventh International Conference on Sciences and Mathematics Education in Developing Countries, 2014.11.
55. 福本 康秀, ZOU Rong, 方位磁気回転不安定性のモード解析, 日本流体力学会年会 2014, 2014.09.
56. 福本 康秀, ZOU Rong, Short-wavelength analysis of azimuthal magnetorotational instability, 日本物理学会 2014年秋季大会, 2014.09.
57. Yasuhide Fukumoto, Rong Zou, Azimuthal and helical magnetorotational instabilities to non-axisymmetric perturbations, Turbulent Mixing and Beyond Workshop: Mixing in Rapidly Changing Environment - Probing Matter at the Extremes, 2014.08.
58. 福本 康秀, 回転MHD流に立つ波のエネルギー, 日本物理学会 第69回年次大会, 2013.03.
59. Yasuhide Fukumoto, Lagrangian approach to weakly nonlinear stability of a columnar vortex, Workshop on Lagrangian Coherent Structures and Dynamical Systems", 2014.03.
60. 福本 康秀, MHD回転流のスペクトルと不安定性, 平成25年度NIFS共同研究・研究会, 2013.12.
61. Yasuhide Fukumoto, Derivation of magnetohydrodynamic equations with Hall effect,
Magnetorotational instability (MRI) with and without Hall effect, Zhejiang Normal University 集中講義, 2013.11.
62. 福本 康秀, 有限太さの渦の2次元相互作用, 日本物理学会 2013年秋季大会, 2013.09.
63. 福本 康秀, 有限太さの渦の2次元相互作用, 日本流体力学会年会 2013, 2013.09.
64. Yasuhide Fukumoto, Are all the topological invariants representable as cross helicities?, JSPS/UK Meeting "Topological Vorticity Dynamics in the Physical Sciences", 2013.09.
65. Yasuhide Fukumoto, Energy, pseudomomentum and Stokes drift of inertial waves and their application to stability of a columnar vortex, A mini-Conference "Topological Vorticity Dynamics and Magnetohydrodynamics", 2013.09.
66. Yasuhide Fukumoto, Motion of a vortex ring and a vortex pair in a viscous fluid, 2nd International Retreat on Vortex Dynamics and Vorticity Aerodynamics (IRVDVA), 2013.08.
67. Yasuhide Fukumoto, Energy, pseudomomentum and Stokes drift of inertial waves and their application to stability of a columnar vortex, The 6th Pacific RIM Conference on Mathematics 2013, 2013.07.
68. Yasuhide Fukumoto, Hirofumi Sakuma, Three-dimensional formal stability of stratified shear flows of an ideal gas, International Conference“FLUXES AND STRUCTURES IN FLUIDS”, 2013.06.
69. 福本 康秀, 佐久間 弘文, バロクリニック流体のカシミール不変量のクロス・ヘリシティ表現, 日本物理学会 第68回年次大会, 2013.03.
70. Yasuhide Fukumoto, Youichi Mie, Lagrangian approach to weakly nonlinear interaction of Kelvin waves and a symmetry-breaking bifurcation of a rotating flow, IUTAM Symposium on Vortex Dynamics: Formation, Structure and Function, 2013.03.
71. Yasuhide Fukumoto, Makoto Hirota, Youichi Mie, Lagrangian and Eulerian hybrid method for symmetric breaking bifurcation of a rotating flow, BIRS Workshop: Spectral Analysis, Stability and Bifurcation in Modern Nonlinear Physical Systems, 2012.11, A steady Euler flow of an inviscid incompressible fluid is characterized as an extremum of the total kinetic energy (=the Hamiltonian) with respect to perturbations constrained to an isovortical sheet (=coadjoint orbits). We exploit the criticality in the Hamiltonian to calculate the energy of three-dimensional waves on a steady vortical flow, and, as a by-product, to calculate the mean flow, induced by nonlinear interaction of waves with themselves.
 We apply these formulas to the linear and weakly nonlinear stability of a rotating flow confined in a cylinder of elliptic cross-section. The linear instability, parametric resonance between a pair of Kelvin waves, is known as the Moore-Saffman-Tsai-Widnall (MSTW) instability. The linear stability characteristics is well captured from the viewpoint of Krein's theory of Hamiltonian spectra. Furthermore, with the mean flow induced by the Kelvin waves, a hybrid method of combining the Eulerian and the Lagrangian approaches is developed to deduce the amplitude equations to third order..
72. Yasuhide Fukumoto, Energy, Pseudomomentum and Stokes Drift of Kelvin Waves and Their Application to Weakly Nonlinear Stability of an Elliptic Vortex, Vortex Theory Now--Frontiers of Mathematical Physics, 2012.10.
73. Yasuhide Fukumoto, Youichi Mie, Lagrangian and Eulerian hybrid method for weakly nonlinear stability of a rotating flow in a cylinder of elliptic cross-section, 23rd International Congress of Theoretical and Applied Mechanics (ICTAM 2012), 2012.08.
74. Yasuhide Fukumoto, 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, IUTAM symposium "Topological Fluid Dynamics", 2012.07, Integrals of an arbitrary function of the vorticity, two-dimensional topological invariants of an ideal barotropic fluid, take different guise from the helicity. Noether's theorem associated with the particle relabeling symmetry group leads us to a unified view that all the topological invariants of a barotropic fluid are variants of the cross helicity. Baroclinic fluid flows admit, as the Casimir invariants, a class of integrals including an arbitrary function of the entropy and the potential vorticity. A consideration is given to them from the view point of Noether's theorem. We then develop a new energy-Casimir convexity method for a baroclinic fluid, and establish a novel linear stability criterion, to three-dimensional disturbances, for equilibria of general rotating flows of an ideal gas without appealing to the Boussinesq approximation. By exploiting a larger class of the Casimir invariants, we have succeeded in ruling out a term including the gradient of a dependent variable from the energy-Casimir function. For zonally symmetric flows, the resulting criterion is regarded as an extended Richardson number criterion for stratified rotating shear flows with compressibility taken into account..
75. 福本康秀, 3次元ケルヴィン波の輸送特性, 日本物理学会 第67回年次大会, 2012.03.
76. 山下晃史,福本康秀, コリオリ力を受ける円筒内の回転流体の3つのモードの相互作用による線形安定性解析, 日本物理学会 第67回年次大会, 2012.03.
77. 福本康秀,彌榮洋一, ケルヴィン波のエネルギー,擬運動量,ストークスドリフト, 第61回理論応用力学講演会, 2012.03.
78. Yasuhide Fukumoto, 講義1“Topological Fluid Dynamics”, 講義2 “Kinematic variational principle for vortical structure of Euler flows”, 講義3 “Motion of Point Vortices”, Lectures at Mandalay University, 2012.02.
79. 福本康秀, 渦度のトポロジーと渦のダイナミクスへの応用, 日本物理学会四国支部講演会, 2011.12.
80. 福本康秀,彌榮洋一, 渦流の3次元不安定性に対するハミルトニアン分岐理論, 九州大学応用力学研究所共同利用研究集会「乱流現象及び非平衡系の多様性と普遍性」, 2011.11.
81. Y. Fukumoto, Y. Hattori, Effects of swirl on the stability of vortices, Eighth International Conference on Flow Dynamics, 2011.11.
82. Y. Fukumoto, Y. Mie, Hamiltonian bifurcation of a rotating flow confined in a cylinder with elliptically deformed cross-section, Conference "Fluxes and Structures in Fluids: Physics of Geosphere, 2011.09.
83. Y. Fukumoto, Y. Mie, Hamiltonian bifurcation theory for a rotating flow confined in a cylinder of elliptic cross-section, International Conference on Fluid and Gas Dynamics, 2011.09.
84. 服部裕司,福本康秀, 軸流をもつらせん渦の短波長安定性解析, 日本物理学会2011年秋季大会, 2011.09.
85. 福本康秀,彌榮洋一, 円断面筒状容器内の回転流の非定常共鳴モードの弱非線形安定性, 日本流体力学会年会 2011, 2011.09.
86. 服部裕司,福本康秀, 軸流をもつらせん渦の短波長安定性解析, 日本流体力学会年会 2011, 2011.09.
87. 福本康秀, 変分原理とコンピュータ・アナトミーへの応用, Computer Entertainment Developers Conference (CEDEC2011), 2011.09.
88. Y. Fukumoto, Kinematic variational principle for vortical structure of Euler flows and beyond, RIMS Camp-style Seminar Modern approach and developments to Onsager's theory on statistical vortices, 2011.08.
89. Y. Fukumoto, Hamiltonian bifurcation theory for a rotating flow subject to elliptic straining field, Third International Conference and Advanced School "Turbulent Mixing and Beyond", 2011.08, 回転流や立つ3次元波をケルヴィン波といい、軸対称性や並進対称性を破る摂動を加えると2個のケルヴィン波が共鳴不安定を起こす。ハミルトン力学系のスペクトル理論によると、ケルヴィン波のエネルギーの符号が不安定化の鍵を握る。ラグランジュ変位を基本変数にとって撹乱を渦なしに限定することによって、波の非線形相互作用によって誘起される振幅について2次の平均流を計算できることを示した。渦なし撹乱の定義を循環保存と関係づけることによって、擬運動量が平均流とストークスドリフトの和と等しく、円筒容器中では後者が消えるので、擬運動量と平均流が等しいことを証明した。これらを利用することによって、軸対称波と楕円変形波との共鳴のからのハミルトン的ホップ分岐の成長をあらわす弱非線形振幅方程式の係数を3次まであいまいさなく求めることに初めて成功した。.
90. 福本 康秀, 渦のキネマティックスとダイナミックス― 流体力学の立場から ー, 「渦の特徴づけ」研究会, 2011.08.
91. 福本康秀,彌榮洋一, 楕円断面筒状容器内の回転流のハミルトニアン分岐理論, 京都大学数理解析研究所研究集会「オイラー方程式の数理: カルマン渦列と非定常渦運動100 年」, 2011.07.
92. 服部裕司,中野わかな,畠山望,福本康秀, 渦対の形成過程の数値解析, 京都大学数理解析研究所研究集会「オイラー方程式の数理: カルマン渦列と非定常渦運動100 年」, 2011.07.
93. F. Kaplanski, Y. Fukumoto, Y. Rudi, Reynolds-number effect on vortex ring evolution, The 6th International Conference on Fluid Mechanics Recent Progress in Fluid Dynamics Research, 2011.07.
94. 福本康秀,Me Me Naing, 歳差回転する円筒内の回転流の局所安定性, 日本物理学会 第66回年次大会, 2011.03.
95. Yasuhide Fukumoto, Energy and mean flow of waves on a rotating fluid flow, and their application to weakly nonlinear stability analysis, Seminar at NZ Institute for Advanced Study, 2011.02.
96. 福本 康秀, 楕円回転流のハミルトニアン分岐理論, 京都駅前セミナー~非線形現象の数理を考える~, 2011.01.
97. Yasuhide Fukumoto, Energy and mean flow of waves on a rotating fluid flow, and their application to stability analysis, 非線形力学ワークショップ, 2010.12.
98. 彌榮洋一,福本康秀, 楕円回転流上の3波相互作用, 第6回日本流体力学会中四国九州支部・講演会, 2010.12.
99. 福本 康秀, 回転流に立つ波の非線形相互作用と弱非線形安定性解析のためのラグランジュ的方法, 愛媛大学解析セミナー, 2010.11.
100. Y. Fukumoto, Y. Hattori, Normal-mode stability analysis of a helical vortex tube, Seven International Conference on Flow Dynamics, 2010.11.
101. 福本康秀,廣田真,彌榮洋一, 楕円回転流の弱非線形安定性のためのオイラー・ラグランジュ混合法, 九州大学応用力学研究所共同利用研究集会「非線形波動研究の新たな展開 -現象とモデル化-」, 2010.10.
102. 福本康秀,F. Kaplanski, 低レイノルズ数領域でのスワールをもつ渦輪の運動, 日本物理学会2010年秋季大会, 2010.09.
103. 服部裕司,中野わかな,畠山望,福本康秀, 渦対形成過程の直接数値シミュレーション研究, 日本物理学会2010年秋季大会, 2010.09.
104. 福本康秀, 渦度のトポロジーと楕円流の弱非線形安定性への応用, 第142会エンレイソウの会, 2010.09.
105. 服部裕司,中野わかな,畠山望,福本康秀, 渦対の形成過程の現実的数値シミュレーション, 日本流体力学会年会 2010, 2010.09.
106. 彌榮洋一,福本康秀, 楕円渦の不安定モードの弱非線形発展と2次不安定性, 日本流体力学会年会 2010, 2010.09.
107. Yasuhide Fukumoto, Makoto Hirota, Energy, action and mean flow of waves on a vortex of a fluid flow, and their application to stability analysis, 31st annual meeting of the Canadian Applied and Industrial Mathematics Society (CAIMS*SCMAI 2010), 2010.07.
108. Yasuhide Fukumoto, Makoto Hirota, Youichi Mie, Hybrid method of Lagrangian and Eulerian hydrodynamics to weakly nonlinear stability of an elliptical flow, 2010 Chinese-German Conference on Fluid and Gas Dynamics, 2010.05.
109. Yasuhide Fukumoto, Lagrangian approach to wave interactions on vortices and weakly nonlinear stability of an elliptical flow, Internatinal Conference on Mathematical Fluid Dynamics, 2010.03.
110. Yasuhide Fukumoto, Lagrangian approach to wave interactions on vortices and weakly nonlinear stability of an elliptical flow, Internatinal Conference on Mathematical Fluid Dynamics, 2010.03.
111. 廣田真,福本康秀, Lie級数展開を用いた波と平均場の相互作用の評価法, 日本物理学会 第65回年次大会, 2010.03.
112. 彌榮洋一,福本康秀, 楕円渦上の軸対称-楕円型Kelvin 波の共鳴とカオス, 日本物理学会 第65回年次大会, 2010.03.
113. Y. Fukumoto, Elliptical instability of a vortex tube and its weakly nonlinear evolution I, II, Special lectures at Department of Mathematics, Zhejiang Normal University, 2010.02.
114. Yasuhide Fukumoto, Initiative to Develop Education & Research Interfaces between Mathematics and Industry under the Global COE Program "Math-for-industry, The first International Congress of Mathematics, Engineering and Society: ICMES2009, 2009.12.
115. Yasuhide Fukumoto, Energy and mean flow of Kelvin waves, and their application to weakly nonlinear stability of an elliptical flow, International Workshop: Mathematical Analysis on the Navier-Stokes Equatins and Related Topics, Past and Future -In memory of Professor Tetsuro Miyakawa -, 2009.12.
116. 福本康秀,廣田真,彌榮洋一, ケルヴィン波のエネルギーと誘導される平均流,そしてその楕円流の弱非線形安定性理論への応用, 未来研究ラボ「非線形ダイナミクス」研究会「流体力学における漸近解析」, 2009.12.
117. 福本康秀,A. B. Samokhin, 非等方媒質中における電磁場の特異モード, 京都大学数理解析研究所研究集会「非線形波動現象の数理と応用」, 2009.10.
118. 福本康秀,Me Me Naing,, ラグランジュ的記述による流れの短波長安定性理論, 日本物理学会2009年秋季大会, 2009.09.
119. 彌榮洋一,福本康秀,服部裕司, Lagrange変位を用いた楕円渦流の弱非線形安定性, 日本物理学会2009年秋季大会, 2009.09.
120. Me Me Naing,福本康秀, Instability of a precessing rotating flow with elliptical streamlines, 日本物理学会2009年秋季大会, 2009.09.
121. Me Me Naing,福本康秀, Local instability of an elliptical flow subjected to a Coriolis force, 日本流体力学会年会 2009, 2009.09.
122. 彌榮洋一,福本康秀,服部裕司, Lagrange変位による平均流の導出と弱非線形振幅方程式, 日本流体力学会年会 2009, 2009.09.
123. Y. Hattori, K. Hijiya, Y. Fukumoto, Curvature instability of vortical structures, Third International Symposium on (BIFD2009) "Instabilities and Bifurcations in Fluid Dynamics", 2009.08.
124. Yasuhide Fukumoto, Makoto Hirota, Youichi Mie, Lagrangian approach to weakly nonlinear stability of an elliptical flow, International Conference on Turbulent Mixing and Beyond, 2009.07.
125. 福本康秀, 渦波の非線形相互作用によって誘導される平均流, 京都大学数理解析研究所研究集会「オイラー方程式の数理:渦運動と音波150年」, 2009.07.
126. Y. Fukumoto, M. Hirota, Y. Mie, Lagrangian approach to weakly nonlinear interactions of waves on a rotating flow, International Symposium on Modern Perspectives of Fluid Mechanics, 2009.06.
127. 彌榮洋一,福本康秀,服部裕司, Lagrange変数による楕円渦流の弱非線形方程式の導出, 第4回日本流体力学会中四国・九州支部総会・講演会, 2009.05.
128. 福本康秀, ラグランジュ的記述による速度不連続面や渦の非線形不安定性理論, レーザー研シンポジウム, 2009.04.
129. Yasuhide Fukumoto, M. Hirota, Linear and weakly nonlinear stability of an elliptic flow from the viewpoint of Hamiltonian spectra, International workshop on verified computationsand related topics, 2009.03.
130. Yasuhide Fukumoto, Global time evolution of viscous vortex rings, IUTAM symposium 150 Years of Vortex Dynamics, 2008.10.
131. Yasuhide Fukumoto, H. K. Moffatt, S. Ooshiro, Motion of vortex rings with and without magnetic field, XXII International Congress of Theoretical and Applied Mechanics (ICTAM), 2008.08.
132. Yasuhide Fukumoto,Makoto Hirota, Masahiro Adachi, Global stability analysis of a rotating fluid columns subjected to a weak external Coriolis force, US-Japan workshop on shocks, hydro-instabilities, turbulence and hot(warm) dense matter and related phenomena, 2008.01.
133. Yasuhide Fukumoto, Makoto Hirota, Elliptical instability of a vortex tube and drift current induced by it, International Conference on Turbulent Mixing and Beyond, 2007.08.
134. Yasuhide Fukumoto, Kinematic variational principle for motion of vortex rings, International Conference Euler Equations: 250 Years On, 2007.06.
135. Yasuhide Fukumoto, Three-dimensional dynamics of a vortex filament and an elastic rod, and their intersection, SIAM, 2006.09.
136. Yasuhide Fukumoto, Analogy of a vortex-jet filament with the Kirchhoff elastic rod and its dynamical extension, IUTAM Symposium on Hamiltonian dynamics, vortex structure and turbulence, 2006.08.
137. Yasuhide Fukumoto, Yuji Hattori, Kaoru Fujimura, Weakly nonlinear evolution of an elliptical flow, The 3rd International Conference on Vortex Flows and Vortex Models (ICVFM2005), 2005.11.
138. Yasuhide Fukumoto, Analogy between a vortex-jet filament and the Kirchhoff elastic rod, FPU+50: NONLINEAR WAVES 50 YEARS AFTER FERMI-PASTA-ULAM ..., 2005.06.
139. Yasuhide Fukumoto, Analogy between a vortex-jet filament and the Kirchhoff elastic rod, FPU+50: NONLINEAR WAVES 50 YEARS AFTER FERMI-PASTA-ULAM ..., 2005.06.
140. Yasuhide Fukumoto, Higher-order asymptotic formula for velocity of a viscous vortex ring, Conference on Vortex Rings in Classical and Quantum Systems, 2005.06.
141. Y.Fukumoto, Motion of vortex rings of finite core thickness, International Conference on Mathematical Fluid Dynamics, 2004.12.
142. Y.Fukumoto, Curvature instability of a vortex ring, XXI International Congress of Theoretical and Applied Mechanics, 2004.08.
143. Y.fukumoto, Velocity field induced by a helical vortex tube of finite core,, XXXII International Summer School - Conference ``Advanced Problems in Mechanics", 2004.06.
144. 服部 裕司, 福本 康秀, 細い渦輪の線形安定性 - 局所安定性解析 -, 九州大学応用力学研究所・研究集会「乱流研究の異分野融合と新たな創成」 世話役 辻 義之, 2003.12.
145. Yasuhide Fukumoto, Yuji Hattori, Three-dimensional instability of a vortex ring in a normal fluid, Anglo-Japanese superfluid turbulence group, organized by W. F. Vinen, 2003.09.
146. 服部 裕司, 福本 康秀, 短波長極限における渦輪の線形安定性, 日本物理学会・2003年秋季大会, 2003.09.

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