Yoshifumi Kimura

A. Curriculum Vitae

List of Publications

1. P. J. Morrison and Y. Kimura, A Hamiltonian description of finite-time singularity in Euler’s fluid equations, Phys. Lett. A 967 (2023), 129078.
   https://doi.org/10.1016/j.physleta.2023.129078
2. H. K. J. Moffatt and Y. Kimura, Towards a finite-time singularity of the Navier–Stokes equations Part 3. Maximal vorticity amplification, J. Fluid Mech. 484 (2023), R1.
   https://doi.org/10.1017/jfm.2023.472
3. Y. Kimura, Elucidation of the singularity of fluid equations and the statistical properties of turbulence by vortex motion, Impact 2022 (2022), no. 2, 60–62.
4. P. J. Morrison and Y. Kimura, A Hamiltonian description of finite-time singularity in Euler’s fluid equations, (2021), arXiv:2011.10864.
5. 木村芳文・小谷元子, ｢ネクスト・アインシュタイン育成を目指すアフリカ数学研究所 AIMS｣, 物理 (2021), 4月号, 226–228.
6. 木村芳文, ｢AIMS Rwanda での講義体験｣, 数学通信 (2021), 第4号, 48–52.
7. H. K. Moffatt and Y. Kimura, Towards a finite-time singularity of the Navier–Stokes equations Part 2. Vortex reconnection and singularity evasion — CORRI-GENDUM, J. Fluid Mech. 887 (2020), no. E2, 1–2.
8. H. K. Moffatt and Y. Kimura, Towards a finite-time singularity of the Navier–Stokes equations Part 2. Vortex reconnection and singularity evasion, J. Fluid Mech. 870 (2019), no. R1, 1–11.
9. H. K. Moffatt and Y. Kimura, Towards a finite-time singularity of the Navier–Stokes equations Part 1. Derivation and analysis of dynamical system, J. Fluid Mech. 861 (2019), 930–967.
10. Y. Kimura and H. K. Moffatt, Scaling properties towards vortex reconnection under Biot–Savart evolution, Fluid Dyn. Res. 50 (2018), no. 1, 011409.
11. Y. Kimura and H. K. Moffatt, A tent model of vortex reconnection under Biot–Savart evolution, J. Fluid Mech. 834 (2018), no. R1, 1–12.
12. 木村芳文, ｢成層乱流の2次元性と3次元性｣, パリティ 33巻 (2018), 1月号《物理科学, この1年》, 44–46.
13. P. Otheguy, J.-M. Chomaz, P. Augier, Y. Kimura, and P. Billant, Pairing of two vertical columnar vortices in a stratified fluid, Eur. J. Mech. B Fluids 49 (2015), no. part B, 413–425.
14. 木村芳文, ｢流体力学とトポロジー｣, 数理科学 617巻 (2014), 11月号《特集／応用するトポロジー — “柔らかい幾何学”がもたらす諸分野の発展》, 33–39.
15. Y. Kimura and H. K. Moffatt, Reconnection of skewed vortices, J. Fluid Mech. 751 (2014), 329–345.
16. Y. Kimura, Magnetic field generated by current filaments, J. Phys.: Conf. Ser. 544 (2014), 012004 1–5.
17. J. R. Herring and Y. Kimura, Some issues and problems of stably stratified turbulence, Phys. Scr. 2013 (2013), no. T155, 014031.
18. Y. Kimura and J. R. Herring, Energy spectra of stably stratified turbulence, J. Fluid Mech. 698 (2012), 19–50.
19. Ye Zhou, C. E. Leith, J. R. Herring, and Y. Kimura, Predictability error growth of turbulent flows, Math. Res. Commun. 39 (2012), no. 1, 15–17.
20. Y. Kimura, Self-similar collapse of 2D and 3D vortex filament models, Theor. Comput. Fluid Dyn. 24 (2010), 389–394.
21. J. R. Herring and Y. Kimura, Spectra and distribution function of stably stratified turbulence, IUTAM Symposium on Turbulence in the Atmosphere and Oceans: Proceedings of the IUTAM Symposium on Turbulence in the Atmosphere and Oceans, Cambridge, UK, December 8–12, 2008 (D. Dritschel, ed.), IUTAM Bookseries, vol. 28, Springer, 2010, pp. 143–154.
    https://link.springer.com/book/10.1007/978-94-007-0360-5
22. Y. Kimura, Self-similar collapse of a 3D straight vortex filament model, Geophys. and Astrophys. Fluid Dyn. 103 (2009), 135–142.
23. 木村芳文, ｢ナヴィエ・ストークス方程式と流体の運動｣, 数理科学 552巻 (2009), 6月号《特集／現象と物理概念を結ぶ方程式》, 35–39.
24. 木村芳文, ｢2次元乱流における勾配の発展｣, 第58回理論応用力学講演会 講演 論文集 NCTAM2009 (2009), 527–528.
25. Y. Kimura, Motion of an elliptic vortex ring and particle transport, IUTAM Sym- posium on Hamiltonian Dynamics, Vortex Structures, Turbulence: Proceedings of the IUTAM Symposium held in Moscow, 25–30 August, 2006 (A. V. Borisov, V. V. Kozlov, I. S. Mamaev, and M. A. Sokolovskiy, eds.), IUTAM Bookseries, vol. 6, Springer, 2008, pp. 119–124.
    https://link.springer.com/book/10.1007/978-1-4020-6744-0
26. J. R. Herring and Y. Kimura, Structure formation in stratified turbulence, IU-TAM Symposium on Computational Physics and New Perspectives in Turbulence: Proceedings of the IUTAM Symposium on Computational Physics and New Perspectives in Turbulence, Nagoya University, Nagoya, Japan, September, 11–14, 2006 (Y. Kaneda, ed.), IUTAM Bookseries, vol. 4, Springer, 2008, pp. 355–360.
    https://link.springer.com/book/10.1007/978-1-4020-6472-2
27. Y. Kimura and J. R. Herring, Anomalous diffusion in rotating stratified turbulence, Particle-Laden Flow: From Geophysical to Kolmogorov Scales (Univ. of Twente, NLD, Jun. 21–23, 2006) (B. J. Geurts, H. Clercx, and W. Uijttewaal, eds.), ERCOFTAC Series, vol. 11, 2007, pp. 97–102.
    https://link.springer.com/book/10.1007/978-1-4020-6218-6
28. B. Deconinck, Y. Kimura, and H. Segur, The pole dynamics of rational solutions of the viscous Burgers equation, J. Phys. A 40 (2007), no. 20, 5459–5467.
29. J. R. Herring, Y. Kimura, R. James, J. Clyne, and P. A. Davidson, Statistical and dynamical questions in stratified turbulence, Lect. Notes Pure Appl. Math., Chapman & Hall, CRC, Boca Raton, FL 250 (2006), 101–114.
30. Y. Kimura, Motion of 3D vortex filament and particle transport, IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamics: Proceedings of the IUTAM Symposium held at Kyoto International Community House, Kyoto, Japan, 26–28 October, 2004 (S. Kida, ed.), Springer, 2006, pp. 275–282.
    https://link.springer.com/book/10.1007/1-4020-4181-0
31. Y. Kimura and S. Koikari, Particle transport by a vortex soliton, J. Fluid Mech. 510 (2004), 201–218.
32. J. R. Herring and Y. Kimura, Structural and statistical aspects of stably stratified turbulence, Statistical Theories and Computational Approaches to Turbulence: Modern Perspectives and Applications to Global-Scale Flows (Nagoya, JPN, Oct. 10–13, 2001) (Y. Kaneda and T. Gotoh, eds.), Springer, 2003, pp. 15–24.
    https://link.springer.com/book/10.1007/978-4-431-67002-5
33. R. Pelz and Y. Kimura, Self-similar, finite-time collapse of the straight vortex-filament dodecapole, Lecture Note of RIMS, Kyoto Univ. 1326 (2003), 10–13.
34. Y. Kimura and J. R. Herring, Gradient enhancement and filament ejection for non-uniform elliptic vortex in two-dimensional turbulence, J. Fluid Mech. 439 (2001), 43–56.
35. 木村芳文, ｢成層乱流における数値実験｣, 日本流体力学学会誌 ｢ながれ｣ 20巻 (2001), 26–36.
36. 木村芳文, ｢地球流体力学の一視点｣, 数理科学 38巻 (2000), 8月号《特集／非線 形科学と微分方程式 — 現象をみる目と語る言葉》, 36–43.
37. 木村芳文, ｢非一様楕円渦の軸対称化プロセスについて｣, 数理解析研究所講究録 1121巻 (2000), 147–156.
38. Y. Kimura and O. Metais, Vortex formation and diffusion in rotation stratified turbulence, IUTAM Symposium on Developments in Geophysical Turbulence (Boulder USA, Jun. 16–19, 1998) (R. M. Kerr and Y. Kimura, eds.), Kluwer Academic Publisher, 2000, pp. 93–108.
    https://link.springer.com/book/10.1007/978-94-010-0928-7
39. Y. Kimura and Herring J. R., Particle dispersion in rotating stratified turbulence, Proceedings of the 3rd ASME-JSME Joint Fluids Engineering Conference: FEDSM ’99, July 18-23, 1999, San Francisco, California, American Society of Mechanical Engineers, 1999.
    https://www.worldcat.org/ja/title/proceedings-of-the-3rd-asme-jsme-joint-fluids-engineering-conference-fedsm-99-july-18-23-1999-san-francisco-cali fornia/oclc/42269277
40. J. R. Herring, Y. Kimura, and J. Chasnov, Evolution of decaying two-dimensional turbulence and self-similarity, Fundamental Problematic Issues in Turbulence (Proceedings of the 2nd Monte Verita Colloquium: Fundamental Problematic Issues in Turbulence, Monte Verita, CHE, Mar. 23–27, 1998) (A. Gyr, Kinzelbach W., and A. Tsinober, eds.), Trends Math., Birkhäuser, 1999, pp. 175–183.
    https://link.springer.com/book/10.1007/978-3-0348-8689-5
41. Y. Kimura, Vortex motion on surfaces with constant curvature, Proc. R. Soc. London Ser. A 455 (1999), 245–259.
42. 木村芳文, ｢回転成層乱流中の渦構造の生成について (渦度場の幾何学的構造と乱流統計)｣, 数理解析研究所講究録 972巻 (1996), 203–212.
43. Y. Kimura and J. R. Herring, Diffusion in stably stratified turbulence, J. Fluid Mech. 328 (1996), 253–296.
44. Y. Kimura, Dynamics of complex singularities for Burgers’ equation, Nonlinear Evolution Equations and Dynamical Systems Needs ’94: Proceedings of the 10th International Workshop (Los Alamos, USA, Sep. 11–18, 1994) (V. G. Makhankov, A. R. Bishop, and D. D. Holm, eds.), World Scientific, 1995, pp. 86–93.
    https://www.worldscientific.com/worldscibooks/10.1142/2710
45. Y. Kimura and J. R. Herring, Stratified turbulence: Structural issues and turbulent diffusion, Small-Scale Structures in Three-Dimensional Hydrodynamic and Magnetohydrodynamic Turbulence: Proceedings of a Workshop Held at Nice, France, 10–13 January 1995 (M. Meneguzzi, A. Pouquet, and P.-L. Sulem, eds.), Lecture Notes in Physics, vol. 462, Springer, 1995, pp. 195–203.
    https://link.springer.com/book/10.1007/BFb0102392
46. Y. Kimura and R. H. Kraichnan, Probability distributions in hydrodyanmic turbulence, Progress in Astronautics and Aeronautics 192 (1994), 19–27.
47. Y. Kimura and R. B. Pelz, Search for complex time singularities in Navier–Stokes turbulence, Unstable and Turbulent Motion of Fluid: Proceedings of the Conference, RIMS, Kyoto University, 26–30 October 1992 (S. Kida, ed.), World Scientific, 1993, pp. 91–101.
    https://www.worldscientific.com/worldscibooks/10.1142/2159
48. Y. Kimura and R. H. Kraichnan, Statistics of an advected passive scalar, Phys. Fluids A 5 (1993), no. 9, 2264–2277.
49. Y. Kimura, Probability distribution of passive scalar with non-linear mean gradient, Solar and Planetary Dynamos (Proceedings of the NATO Advanced Research Institute on Theory of Solar and Planetary Dynamos, Sep. 10–Oct. 2, 1992, Cambridge UK) (M. R. E. Proctor, P. C. Matthews, and A. M. Rucklidge, eds.), Cambridge Univ. Press, 1993, pp. 189–193.
    https://www.cambridge.org/core/books/solar-and-planetary-dynamos/5F414DA3 EFC6CD29F63820DD5530A1C8
50. H. Omoto and Y. Kimura, On $\varepsilon$-approximate singularities of autonomous systems of vortex type, Nagoya Math. J. 125 (1992), 15–31.
51. Y. Kimura, Intermittency growth in 3D turbulence, Topological Aspects of the Dynamics of Fluids and Plasmas (Proceedings of the NATO Advanced Research Workshop on Topological Fluid Dynamics, Santa Barara, USA, Aug.–Dec., 1991) (H. K. Moffatt, G. M. Zaslavsky, M. Tabor, and P. Comte, eds.), NATO ASI Series E, vol. 218, Kluwer Academic Publisher, 1992, pp. 401–413.
    https://link.springer.com/book/10.1007/978-94-017-3550-6
52. D. D. Holm and Y. Kimura, Zero-helicity Lagrangian kinematics of three-dimensional advection, Phys. Fluids A 3 (1991), no. 5, 1033–1038, Symposium on Fluid Mechanics of Stirring and Mixing (La Jolla, CA, 1990).
53. Y. Kimura, Vortex collapse from the viewpoint of complex-time singularity, Physica D51 (1991), 512–519.
54. Y. Kimura, Parametric motion of complex-time singularity toward real collapse, Physica D46 (1990), 439–448.
55. Y. Kimura, Vortex motion, sound radiation, and complex time singularities, Phys. Fluids A 2 (1990), 214–219.
56. D. D. Holm, Y. Kimura, and J. C. Scovel, Lagrangian particle kinematics in three-dimensional convection, Nonlinear Structures in Physical Systems: Pattern Formation, Chaos, and Waves (Proceedings of the 2nd Woodward Conference, San Jose, USA, Nov. 17–18, 1989) (L. Lam and H. C. Morris, eds.), Springer, 1990, pp. 184–191.
    https://link.springer.com/book/10.1007/978-1-4612-3440-1
57. H. Okamoto and Y. Kimura, Chaotic advection by a point vortex in a semidisk, Topological Fluid Mechanics: Proceedings of the IUTAM Symposium (Proceedings of the Topological Fluid Mechanics, Cambridge, UK, Aug. 13–18, 1989) (H. K. Moffatt and A. Tsinober, eds.), Cambridge Univ. Press, 1990, pp. 105–113.
    https://www.damtp.cam.ac.uk/user/hkm2/PDFs/Moffatt_Tsinober_1990_Cambridg eUniversityPress.pdf
58. Y. Kimura, I. Zawadzki, and H. Aref, Vortex motion, sound radiation, and complex time singularities, Phys. Fluid A 2 (1990), 214–219.
59. Y. Kimura, Transport properties of waves on a vortex filament, Advances in Fluid Turbulence (Proceedings of the 8th Annual International Conference of the Center for Nonlinear Studies, Los Alamos, USA, May 16–20, 1988), vol. 37, Phys. D, no. 1-3, 1989, pp. 485–489.
    https://www.sciencedirect.com/journal/physica-d-nonlinear-phenomena/vol/37/issue/1
60. Y. Kimura, Chaos and collapse of a system of point vortices, Fluid Dyn. Res. 3 (1988), 98–104.
61. Y. Kimura, Motion of two point vortices in a circular domain, J. Phys. Soc. Japan 57 (1988), no. 5, 1641–1649, Reviewer: Holger Kantz, 76C05.
62. 木村芳文, ｢複素特異性と流体力学｣, 数学解析研究所講究録 661巻 (1988), 196–202.
63. Y. Kimura and H. Okamoto, Vortex motion on a sphere, J. Phys. Soc. Japan 56 (1987), 4203–4206.
64. Y. Kimura, Similarity solution of two-dimensional point vortices, J. Phys. Soc. Japan 56 (1987), 2024–2030.
65. Y. Kimura and H. Hasimoto, Motion of point vortices in a flow, Theor. Appl. Mech. 35 (1987), 185–191.
66. 木村芳文, ｢Three-wave-equation の可積分性と complex $t$-plane 上の singularity の構造について｣, 数学解析研究所講究録 606巻 (1987), 23–35.
67. Y. Kimura, Transport property of Hasimoto-vortex-soliton, J. Phys. Soc. Japan 55 (1986), 1787–1790.
68. Y. Kimura, Motion of point vortices as a dynamical system, Dynamical Systems and Nonlinear Oscillations (G. Ikegami, ed.), World Sci. Adv. Ser. Dynam. Systems, vol. 1, World Scientific, 1986, pp. 223–237.
    https://www.worldscientific.com/worldscibooks/10.1142/0250
69. Y. Kimura, Motion of point vortices as a dynamical system. Dynamical systems and nonlinear oscillation phenomena, 数学解析研究所講究録 574巻 (1985), 71–85.
70. Y. Kimura and H. Hasimoto, Motion of two identical point vortices in a simple shear flow, J. Phys. Soc. Japan 54 (1985), no. 11, 4069–4072.
71. Y. Kimura and H. Hasimoto, Regular and chaotic motion of two-dimensional point vortices, Dynamical Problems in Soliton Systems: Proceedings of the Seventh Kyoto Summer Institute, Kyoto, Japan, August 27–31, 1984 (S. Takeno, ed.), Springer Ser. Synergetics, vol. 30, Springer, 1985, pp. 164–170.
    https://link.springer.com/book/10.1007/978-3-662-02449-2
72. Y. Kimura, H. Kusumoto, and H. Hasimoto, Some particular solutions for symmetric motion of point vortices in circular cylinder, J. Phys. Soc. Japan 53 (1984), 2988–2995.
73. 神部勉・木村芳文, ｢乱流とカオス｣, 数学セミナー 23巻 (1984), 10号, 25–32.
74. A. Yoshizawa and Y. Kimura, A statistical investigation of the modeling of a mean-shear-related term in the pressure-strain correlation of a turbulent shear flow, J. Phys. Soc. Japan 53 (1984), no. 7, 2253–2262.
75. H. Hasimoto, K. Ishii, Y. Kimura, and M. Sakiyama, Chaotic and coherent behaviours of vortex filaments in bounded domains, Turbulence and Chaotic Phenomena in Fluids: Proceedings of the International Symposium on Turbulence and Chaotic Phenomena in Fluids: held in Kyoto, Japan, 5–10 September, 1983 (T. Tatsumi, ed.), North-Holland, 1984, pp. 231–237.
    https://m-opac.nul.nagoya-u.ac.jp/webopac/TY80403648
76. 木村芳文・橋本英典, ｢渦糸の運動 —特に半円領域における渦糸の運動—｣, 数学解析研究所講究録 539巻 (1984), 37–56.
77. 木村芳文, ｢渦糸の運動 —特に半円領域における渦糸の運動—｣, 数学解析研究所講究録 510巻 (1984), 177–190.