Curriculum vitae(Tsuyoshi Yoneda:米田 剛)


Affiliation Graduate School of Mathematical Sciences, University of Tokyo, Assosiate professor
(東京大学大学院数理科学研究科 准教授)
Address Komaba 3-8-1 Meguro, Tokyo 153-8914, Japan
(〒153-8914 東京都目黒区駒場3-8-1)
Research interests Partial differential equations (in particular, Navier-Stokes equations and Euler equations), Fluid dynamics
研究室 521室(5階)
e-mail yoneda*at*ms.u-tokyo.ac.jp(スパム防止のため@は*at*と書かれています)


(学生に対する)研究室の紹介

私はNavier-Stokes方程式やEuler方程式の数学研究を出発点として、様々な流体物理現象の洞察を進めています。 流体研究は純粋数学から物理・工学そして流体に関わる実社会の商品開発(車や飛行機など)にいたるまで、様々な分野が横断的に関わっている点が魅力です。数学者の立場として、そういった物理・工学の流体研究に貢献していくというスタンスは、色々な研究トピック(自身の想像を超えるという意味でも)に出会えるという魅力に満ち溢れています。 修士入学を希望する初学者が最初に読む教科書としては、Vorticity and Incompressible flow (Majda-Bertozzi 2002)やPerfect incompressible fluids(Chemin 1998)あたりが丁度いいでしょう。ルベーグ積分・関数解析を事前に習得しておけば、割と素直に読めるのではないかと思います。
ちなみに、若者のスポーツと言われている「スノーボード」にも私は挑戦しています。 あと、ついでにニューヨークの動画も紹介しておきます(作曲付き)。 Snowboarding 1 Snowboarding 2 Snowboarding cruise NYC1 NYC2

A list of publications since April 2014 (Articles in refereed journal)

  1. L. Lichtenfelz and T. Yoneda, A local instability mechanism of the Navier-Stokes flow with swirl on the no-slip flat boundary, to appear in J. Math. Fluid Mech.
  2. E. Nakai and T. Yoneda, New applications of Campanato spaces with variable growth condition to the Navier-Stokes equation, Hokkaido Math. J., 48 (2019) 99-140.
  3. N. Kishimoto and T. Yoneda, Global solvability of the rotating Navier-Stokes equations with fractional Laplacian in a periodic domain, Math. Ann. 372 (2018) 743-779.
  4. G. Misiolek and T. Yoneda Continuity of the solution map of the Euler equations in H\"older spaces and weak norm inflation in Besov spaces, Trans. Amer. Math. Soc. 370 (2018), 4709-4730.
  5. Y. Giga, S. Ibrahim, S. Shen and T. Yoneda, Global well posedness for a two-fluid model, to appear in Diff. and Integral Eq. 31 (2018) 187-214.
  6. N. Kishimoto and T. Yoneda, A number theoretical observation of a resonant interaction of Rossby waves, Kodai Math. J., 40 (2017) 16-20.
  7. P-Y. Hsu, H. Notsu, T. Yoneda, A local analysis of the axi-symmetric Navier-Stokes flow near a saddle point and no-slip flat boundary, J. Fluid Mech., 794 (2016) 444-459.
  8. T. Itoh, H. Miura and T. Yoneda, Remark on single exponential bound of the vorticity gradient for the two-dimensional Euler flow around a corner, J. Math. Fluid Mech., 18 (2016) 531-537.
  9. C-H. Chan, M. Czubak and T. Yoneda, An ODE for boundary layer separation on a sphere and a hyperbolic space, Physica D, 282 (2014) 34--38.

Preprints

  1. I.-J. Jeong and T. Yoneda, A remark on the zeroth law and instantaneous vortex stretching on the incompressible 3D Euler equations, submitted.
  2. T. Yoneda, A geometric instability of the laminar axisymmetric Euler flows with oscillating flux,arXiv:1606.05744
  3. T. Yoneda, A mathematical consideration of vortex thinning in 2D turbulence, arXiv:1609.00107

Proceeding

  1. T. Yoneda, Topological instability of laminar flows for the two-dimensional Navier-Stokes equation with circular arc no-slip boundary conditions, RIMS Kokyuroku Bessatsu B49 (2014) 131--137.

A list of publications until March 2014 (Articles in refereed journal)

  1. C-H Chan and T. Yoneda, On the stationary Navier-Stokes flow with isotropic streamlines in all latitudes on a sphere or a 2D hyperbolic space, Dynamics of PDE, 10 (2013) 209--254.
  2. S.Ibrahim and T. Yoneda, Long-time solvability of the Navier-Stokes-Boussinesq equations with almost periodic initial large data, J. Math. Sci. Univ. Tokyo, 20 (2013) 1--25
  3. E. Foxall, S. Ibrahim and T. Yoneda, Streamlines concentration and application to the incompressible Navier-Stokes equations, Tohoku Math. J., 65 (2013) 273--279.
  4. D. Chae and T. Yoneda, On the Liouville theorem for the stationary Navier-Stokes equations in a critical space, J. Math. Anal. Appl., 405 (2013) 706--710.
  5. M. Yamada and T. Yoneda, Resonant interaction of Rossby waves in two-dimensional flow on a β plane, Physica D, 245 (2013) 1--7.
  6. C-H. Chan and T. Yoneda, On possible isolated blow-up phenomena and regularity criterion of the 3D Navier-Stokes equation along the streamlines, Methods and Applications of Analysis, 19 (2012) 211--242.
  7. G. Misiolek and T. Yoneda, Ill-posedness examples for the quasi-geostrophic and the Euler equations, in Analysis, Geometry and Quantum Field Theory, Contemporary Mathematics, Amer. Math. Soc., Providence, RI, (2012) 251--258.
  8. S. Ibrahim and T. Yoneda, Local solvability and loss of smoothness of the Navier-Stokes-Maxwell equations with large initial data, J. Math. Anal. Appl., 396 (2012) 555--561.
  9. H. Koba, A. Mahalov and T. Yoneda, Global well-posedness for the rotating Navier-Stokes-Boussinesq equations with stratification effects, Adv. Math. Sci. Appl., 22 (2012) 61--90.
  10. E. Nakai and T. Yoneda, Bilinear estimates in dyadic BMO and the Navier-Stokes equations, J. Math. Soc. Japan, 64 (2012) 399--422.
  11. Y. Giga, A. Mahalov and T. Yoneda, On a bound for amplitudes of Navier-Stokes flow with almost periodic initial data, J. Math. Fluid Mech., 13 (2011) 459--467.
  12. E. Nakai and T. Yoneda, Riesz transforms on generalized Hardy spaces and a uniqueness theorem for the Navier-Stokes equations, Hokkaido Math. J., 40 (2011) 67--88.
  13. P. Konieczny and T. Yoneda, On dispersive effect of the Coriolis force for the stationary Navier-Stokes equations, J. Diff. Eq., 250 (2011) 3859--3873.
  14. T. Yoneda, Long-time solvability of the Navier-Stokes equations in a rotating frame with spatially almost periodic large data, Arch. Ration. Mech. Anal., 200 (2011) 225--237.
  15. Y. Taniuchi, T. Tashiro and T. Yoneda, On the two-dimensional Euler equations with spatially almost periodic initial data, J. Math. Fluid Mech., 12 (2010) 594--612.
  16. T. Yoneda, Ill-posedness of the 3D-Navier-Stokes equations in a generalized Besov space near BMO^{-1}, J. Funct. Anal., 258 (2010) 3376--3387.
  17. E. Nakai and T. Yoneda, Construction of solutions for the initial value problem of a functional-differential equation of advanced type, Aeq. Math., 77 (2009) 259 -- 272.
  18. Y. Giga, H. Jo, A. Mahalov and T. Yoneda, On time analyticity of the Navier-Stokes equations in a rotating frame with spatially almost periodic data, Physica D, 237 (2008) 1422--1428.
  19. Y. Sawano and T. Yoneda, Quarkonial decomposition suitable for functional-differential equations of delay type, Math. Nachr., 281 (2008) 1810--1822.
  20. N. Kikuchi, E. Nakai, N. Tomita, K. Yabuta and T. Yoneda, Calderon-Zygmund operators on amalgam spaces and in the discrete case, J. Math. Anal. Appl., 335 (2007) 198--212.
  21. Y. Sawano and T. Yoneda, On the Young theorem for amalgams and Besov spaces, Int. J. Pure Appl. Math., 36 (2007) 199--208.
  22. T. Yoneda, On the functional-differential equation of advanced type f'(x)=af(λx), λ>1, with f(0)=0, J. Math. Anal. Appl., 332 (2007) 487--496.
  23. T. Yoneda, On the functional-differential equation of advanced type f'(x)=af(2x) with f(0)=0, J. Math. Anal. Appl., 317 (2006) 320--330.
  24. T. Yoneda, Spline functions and n-periodic points (Japanese), Trans. Japan Soc. Ind. Appl. Math., 15 (2005) 245--252.

Honors and Awards

  1. The Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology:The Young Scientists’ Prize(科学技術分野の文部科学大臣表彰若手科学者賞) April 2014.
  2. MSJ Tatebe Katahiro Prize(日本数学会賞:建部賢弘特別賞)September 2012.
  3. Inoue Research Award for Young Scientists(井上研究奨励賞)February 2012.
  4. Postdoctoral Fellowship Award, Pacific Institute for the Mathematical Sciences September 2010-August 2012
  5. Postdoctoral Fellowship Award, Institute for Mathematics and its Applications September 2009-August 2011
  6. Chairman Award for Outstanding Ingenuity and Creativity(数理科学研究科長賞), University of Tokyo, March 2009.
  7. JSPS Research Fellowship for Young Scientists(学振特別研究員DC1): April 2006-March 2009, at University of Tokyo.

Grants

  1. 住友財団基礎科学研究助成 2013年11月--2014年11月「ナヴィエ・ストークス方程式の爆発問題の解明に向けた流体乱流の大規模数値計算」(共同研究者:斉木吉隆)
  2. 2013年度、北海道大学情報基盤センター共同研究実施に係る学際大規模計算機システム利用:斉木・米田グループとして400万秒分、スパコンのファイル容量が0.6TB分
  3. Grant-in-Aid for Young Scientists B(科研費、若手研究 B) 2013--2015 「流体方程式に対する実解析的手法および数値計算」
  4. 稲盛財団研究助成 2017年4月--2019年3月「ナヴィエ・ストークス方程式の爆発問題の解明に向けた渦の非線形相互作用に対する大規模数値計算」
  5. Grant-in-Aid for Young Scientists A, 17H04825(科研費、若手研究 A) 2017--2019 「数学的アプローチによる様々な流体物理現象の解明」
  6. 基盤研究(B)(分担)2017--2021「流体方程式における非共鳴波動相互作用」
  7. 基盤研究(B)(分担)2015--2019「実解析・調和解析に由来する関数空間の理論の深化と応用」
  8. 基盤研究(B)(分担)2018--2021「曲面上の渦力学:曲面の幾何がもたらす新しい流体運動の数理科学」
  9. 基盤研究(B)(分担)2018--2021「粘弾性流体に特有な渦の数理解析」

Selected invited talks

  1. April 2016--present

    1. TBA, a series of lectures, National Chiao Tung University, Hsinchu, Taiwan, Aug. 13-16.
    2. Recent topics on well-posedness and stability of incompressible fluid and related topics, Summer Graduate School, Mathematical Sciences Research Institute (MSRI), Berkeley, CA, USA, July 22, 2019 - Aug. 02, 2019 (lecture on 23 and 29-2)
    3. 瞬間的な渦伸長を生成する3次元Euler流・それに関連するzeroth lawについて:A remark on the zeroth law and instantaneous vortex stretching on the incompressible 3D Euler equations,京都大学応用数学セミナー:Kyoto University Applied Mathematics Seminar (KUAMS), Kyoto Unviersity, May 21 2019.
    4. Instantaneous vortex stretching and energy cascade on the incompressible 3D Euler equations, KIAS workshop, Mathematics of Fluid Motion II: Theory and Computation, KIAS, Korea, Dec. 26-28 (talked at 27), 2018.
    5. Instantaneous vortex-stretching and anomalous dissipation on the 3D Euler equations, The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Taipei, Taiwan, July 5 - July 9 (talk at 7), 2018
    6. Instantaneous vortex-stretching and anomalous dissipation on the 3D Euler equations, 2018 International Conference on Mathematical Fluid Dynamics School of Mathematics and Information Science, Henan Polytechnic University, May 25-27 (talk at 27), 2018.
    7. 様々な流体物理現象の数学解析:回転流体中のvortex breakdownと2次元乱流に現れるvortex thinning, 熊本大学応用解析セミナー, Dec. 9, 2017.
    8. An instability mechanism in the vorticity on the axis for the axisymmetric Euler equations, Princeton Tokyo Mathematical Fluid Dynamics, Princeton University, Princeton, USA, Nov.7--Nov. 9, 2017.
    9. A remark on trajectory behavior along the axis for the axisymmetric Euler equations with large uniform rotation, 2017 Program on Analysis of PDE: 2D Hydrodynamics and related Issues, Fudan University, Shanghai, China, Oct.30--Nov. 3, 2017.
    10. Pulsatile flowの乱流遷移とVortex breakdownに関する純粋数学的洞察の試み, SummerSchool 数理物理, University of Tokyo, Aug. 25--27.
    11. A weak type of norm inflation for solutions of the incompressible 2D Euler equations near the critical Besov space B^2_{2,1}, Harmonic Analysis and its Applications in Tokyo 2017, Nihon University, August 2(Wed) -- 4(Fri), 2017.
    12. A weak type of norm inflation for solutions of the incompressible 2D Euler equations near the critical Besov space B^2_{2,1}, 5th East Asian Conference in Harmonic Analysis and its Applications, Zhejiang University of Science and Technology, Hangzhou (杭州), China, June 9--13, 2017
    13. An instantaneous blowup of the axisymmetric Euler flow in well-posed Holder spaces (ten min. talk), Oberwolfach Workshop (Geophysical Fluid Dynamics), Oberwolfach, Germany, May 2017.
    14. Mathematical analysis of pulsatile flow and vortex breakdown, interdisciplinary/international seminar on nonlinear sciences, University of Tokyo, Mar. 13,14,22, 2017 (talk at 14).
    15. Pulsatile flowの乱流遷移に関する純粋数学的洞察の試み, 非線形現象と高精度高品質数値解析, 富山大学, Feb. 13--15, 2017. (talk at 15)
    16. Mathematical considerations of laminar-turbulent transition and vortex thinning in 2D turbulence, Tokyo-Berkeley Mathematics Workshop:Partial Differential Equations and Mathematical Physics University of Tokyo, Jan. 9--13, 2017. (talk at 11--13)
    17. 軸対称オイラー方程式の一方向流に対する不安定性について, 日本流体力学会 年会2016, Nagoya Inst. Tech., Sep. 26, 2016.
    18. フルネ・セレの公式と動標構を用いた3次元軸対称オイラー流の洞察,談話会, Tokyo Inst. Tech., July 6, 2016.
  2. April 2014--March 2016

    1. A local analysis of incompressible Euler flow, Fifth China-Japan Workshop on Mathematical Topics from Fluid Mechanics, Wuhan, China, Nov. 17-- Nov. 21 2015.
    2. Loss of continuity of the solution map for the Euler equations using large Lagrangian deformation. 10th International ISAAC Congress in Macau, Harmonic Analysis and PDEs,University of Macau, Aug. 3--8 2015. (talk at 5)
    3. Loss of continuity of the solution map for the Euler equations using multi-scale vorticities, Summer School on multiscale and geometric analysis, Hokkido University, Hokkaido, July 27--July 30 2015.
    4. Loss of continuity of the solution map for the Euler equations using large Lagrangian deformation. RIMS研究集会「流体と気体の数学解析」, RIMS Workshop on Mathematical Analysis in Fluid and Gas Dynamics, Kyoto Univ., July 8--10 2015.
    5. Loss of continuity of the solution map for the Euler equations in \alpha-modulation spaces including B^1_{\infty, 1} and C^{1+s} (0<s<1), 第7回 名古屋微分方程式研究集会, Nagoya University, March 3--5 2015.
    6. Loss of continuity of the solution map for the Euler equations, PDE seminar, University of Minnesota, January 28 2015
    7. 2次元渦度方程式に対する数学解析:三波相互作用とLagrangian deformation, 山田道夫先生還暦記念研究集会「非線形現象の数理」, Wakayama, Dec. 26--28 2014.
    8. Topics in Mathematical fluid dynamics, CMMSC seminar in dynamical system and differential equations, National Chiao Tung University, Taiwan, Nov. 24 2014.
    9. Local ill-posedness of the Euler equations in a critical Besov Space, 九州関数方程式セミナー, Fukuoka Univ., Fukuoka, Nov. 7 2014.
    10. Local ill-posedness of the Euler equations in a critical Besov space , 調和解析駒場セミナー, Univ. of Tokyo, Tokyo, Oct. 25 2014.
    11. オイラー方程式の$C^1$クラスにおける局所非適切性について, 渦の特徴付け, Hokkaido Univ., Sapporo, July 28--30, 2014
    12. ミレニアム懸賞問題:Navier-Stokes方程式, 応用解析特別講義, Ibaraki Univ., Ibaraki, June 3 2014.
    13. 3次元Navier-Stokes流の局所的振る舞いに対する微分幾何学的アプローチ,談話会,Tokyo Inst. of Tech., Tokyo, May 28 2014.
    14. Navier-Stokes流の局所的振る舞いに対する特性曲線法の応用, 応用解析研究会, Waseda Univ., Tokyo, May 17, 2014

Teaching experience and Postdoctoral Mentor (April 2014--2016)

  1. 応用解析演習(2014年度前期:茨城大学の集中講義)
  2. Applied calculus, April--Aug. 2014(応用微積分学 2014年度前期)
  3. Calculus, April--Aug. 2015(微積分学I 2015年度前期)
  4. Applied calculus, April--Aug. 2015(応用微積分学 2015年度前期)
  5. Applied analysis, Sep.--Jan. 2015(解析学特別講義 2015年度後期)
  6. Applied analysis, April--July 2016 (基礎数理特別講義Ⅷ 2016年度Sセメスター)
  7. 全学自由ゼミナール2016年度Aセメスター
  8. April--July 2017 「乱流の数学的洞察に関する入門」(数物先端科学Ⅷ 2016年度Sセメスター)
  • Bachelor
    1. 鈴木健人 (2015)
    2. 榎本直樹 (2015)
    3. 上野健太 (2014)
    4. 武原直紀 (2014)
  • Master student
    1. 上野健太 (April 2015--Mar. 2017)
    2. 中井 拳吾 (April 2015--Mar. 2017)
    3. Hu Xin (April 2018--present)
  • Doctor student
    1. 中井 拳吾 (April 2017--present)
  • Postdoc
    1. 伊藤 翼(Tsubasa Ito)(April 2014--March 2016)
    2. 許 本源(PenYuan Hsu)(Oct. 2014--Sep. 2015)
    3. 柏原崇人 (Takahito Kashiwabara) (April 2015--Sep. 2015)
    4. 田内大渡(Taito Tauchi)(April 2019--Mar. 2020)

    Organizer (since April 2016)

    1. RIMS合宿型セミナー(研究題目:物理と数学両アプローチによる地球流体力学の諸問題の追求), Niseko, Hokkaido, Sep.6--10, 2019.
    2. 2019年度日本応用数理学会年会 実行委員会(Sep. 3-5 2019)
    3. 日本応用数理学会学会誌の編集委員会委員(April 2017--Mar. 2020)
    4. 流体力学会年会における「流体数理」のセッションオーガナイザー(2016,2017,2018,2019)

    Working experience (since April 2014)

    1. TBA, 公開講座, 『数理科学の広がり』(仮題) 東京大学, Nov. 23, 2019.
    2. 高校生と大学生のための金曜特別講座, 無限にまつわる厄介な数学問題・それを巧妙に避けるルベーグ積分, 東京大学,Dec. 7, 2018
    3. オーガナイザー,中学生のための玉原数学教室(第12回,第13回), 玉原国際セミナーハウス, Oct. 13, 2018, Octo 19 2019.
    4. JST数学キャラバン:流体の数学研究とその社会的意義について,茨城県立水戸第二高校,水戸,Jan. 27, 2018
    5. 一般向けの講演:流体の数学研究とその社会的意義について, 東工大オープンキャンパス,Tokyo Inst. Tech. Aug. 8, 2014
    6. 一般向けの講演:流体の数学研究とその社会的意義について, ホームカミングデイ, Tokyo Inst. Tech. May 25, 2014

    Reseach support

    1. 2011 June--March 2016, JST Math Crest, 数学と諸分野の協働によるブレークスルーの探索, 坂上グループの研究員
    2. 2016 April--present, JST Math Crest, 水藤グループの研究員

    Editorial services

    1. 2014 April--2016 March, Editorial board: Kodai Mathematical Journal