Geometric approach to fluid mechanics

• Project/Area Number: 18340025
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Nagoya University
• Principal Investigator: KIMURA Yosifumi Nagoya University, 大学院・多元数理科学研究科, 教授 (70169944)
• Co-Investigator(Kenkyū-buntansha): KANAI Masahiko 名古屋大学, 大学院・多元数理科学研究科, 教授 (70183035) ; NAGAO Taro 名古屋大学, 大学院・多元数理科学研究科, 教授 (10263196) ; TSUGAWA Kotaro 名古屋大学, 大学院・多元数理科学研究科, 准教授 (70402451) ; 三松 佳彦 中央大学, 理工学部, 教授 (70190725)
• Co-Investigator(Renkei-kenkyūsha): MITSUMATSU Yoshihiko 中央大学, 理工学部, 教授 (70190725)
• Project Period (FY): 2006 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥15,390,000 (Direct Cost: ¥12,900,000、Indirect Cost: ¥2,490,000); Fiscal Year 2008: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000); Fiscal Year 2007: ¥5,720,000 (Direct Cost: ¥4,400,000、Indirect Cost: ¥1,320,000); Fiscal Year 2006: ¥4,600,000 (Direct Cost: ¥4,600,000)
• Keywords: 乱流 / 流体輸送 / 渦運動 / 安定成層 / 渦糸 / 渦融合 / 成層乱流 / エネルギースペクトル / 3次元孤立渦 / オイラー方程式 / 乱流統計 / 特異点 / 非線形シュレディンガー方程式

Research Abstract

本研究の目的は、乱流を含めた流体の運動学における様々な幾何学的な構造やアイディアを総合的に研究し、数値計算の手法についての提言や流体解析の理解に新たな寄与をすることにあり、以下の項目を主なる研究内容とし、成果を得ることができた.[1] 3次元渦運動のトポロジーと流体輸送、[2]成層乱流のエネルギースペクトル、[3] 3次元渦糸の衝突解、[4] Burgers方程式のpole解の運動方程式の可積分性、[5] 成層乱流の素過程としての渦融合の研究.

Research Products

• [Journal Article] Self-similar collapse of a 3D straight vortex filament model (2009)
  • Author(s): Yoshifumi Kimura
  • Journal Title: Geophysical and Astrophysical Fluid Dynamics 103 Pages: 135-142
  • Peer Reviewed
• [Journal Article] Rigidity of the Weyl chamber flow, and vanishing theorems of Matsushima and Weil, to appear in Ergod (2009)
  • Author(s): Masahiko, Kanai
  • Journal Title: Th. Dynam. Sys (掲載決定済み)
  • Peer Reviewed
• [Journal Article] On Thurston's inequality for spinnable foliations, To appear in Proc (2009)
  • Author(s): H.Kodama, Y.Mitsumatsu, S.Miyoshi & A.Mori
  • Journal Title: PAULFEST, Contemporary Math., American Math. Soc (掲載決定済み)
  • Peer Reviewed
• [Journal Article] On Bennequin's isotopy lemma and Thurston's inequality (2009)
  • Author(s): Yoshihiko Mitsumatsu
  • Journal Title: to appear in Proc ICDG VIII(掲載決定済み)
  • Peer Reviewed
• [Journal Article] Self-similar collapse of a 3D straight vortex filament model (2009)
  • Author(s): Yoshifumi Kimura
  • Journal Title: Geophysical and Astrophysical Fluid Dynamic 103 Pages: 135-142
  • Peer Reviewed
• [Journal Article] Motion of an Elliptic Vortex Ring and Particle Transport, Proceedings of the IUTAM symposium on Hamiltonian Dynamics (2008)
  • Author(s): Yoshifumi Kimura
  • Journal Title: Vortex Structures, turbulence, Moscow, 2006 IUTAM Bookseries 6 Pages: 119-124
  • Peer Reviewed
• [Journal Article] Rigidity of the Weyl chamber flow, and the classical vanishing theorems of Weil and Matsushima (2008)
  • Author(s): Masahiko, Kanai
  • Journal Title: Representation theory and analysis on homogeneous spaces, RIMS Kokyuroku Bessatsu, B7, Res. Inst. Math. Sci.(RIMS), Kyoto Pages: 25-28
• [Journal Article] Spectral Density of Complex Networks with a Finite Mean Degree (2008)
  • Author(s): T. Nagao and G. J. Rodgers
  • Journal Title: J. Phys. A: Math. Theor 41 Pages: 265002-265002
  • Peer Reviewed
• [Journal Article] Skew Orthogonal Polynomials and the Partly Symmetric Real Ginibre Ensemble (2008)
  • Author(s): P. J. Forrester and T. Nagao
  • Journal Title: J. Phys. A: Math. Theor 41 Pages: 375003-375003
  • Peer Reviewed
• [Journal Article] Foliations and compact leaves on 4-manifolds I: Realization and self -intersection of compact leaves (2008)
  • Author(s): Yoshihiko Mitsumatsu & Elmar Vogt
  • Journal Title: Advanced Studies in Pure Math. "Groups of Diffeomorphisms" 52 Pages: 415-442
  • Peer Reviewed
• [Journal Article] リーマン様体上の流体運動方程式の幾何学的基礎 (2008)
  • Author(s): 三松佳彦
  • Journal Title: 日本流体力学会誌「ながれ」 27-2(特別寄稿) Pages: 41-50
• [Journal Article] Motion of an Elliptic Vortex Ring and Particle Transport (2008)
  • Author(s): Yoshifumi Kimura
  • Journal Title: Proceedings of the IUTAM symposium on Hamiltonian Dynamics, Vortex Structures, turbulence, IUTAM Bookseries 6 Pages: 119-124
  • Peer Reviewed
• [Journal Article] Motion of an elliptic vortex ring and particle transport (2008)
  • Author(s): Y. Kimura
  • Journal Title: IUTAM VOOKSERIES: IUTAM Symposium on Hamiltonian, Dynamics, Vortex Structures, Turbulence 6 Pages: 119-124
  • Peer Reviewed
• [Journal Article] The pole dynamics of rational solutions of the viscous Burgers equation (2007)
  • Author(s): B. Deconinck, Y. Kimura & H. Segur
  • Journal Title: J. Phys. A : Math. Theor 40 Pages: 5459-5467
  • Peer Reviewed
• [Journal Article] Herring, Anomalous diffusion in rotating stratified turbulence (2007)
  • Author(s): Y. Kimura & J. R. Herring
  • Journal Title: Proceeding of the Euromech Colloquium 477 on Particle-laden flow : From geophysical to Kolmogorov scales, University of Twente 11 Pages: 97-102
  • Peer Reviewed
• [Journal Article] Semiclassical Theory for Parametric Correlation of Energy Levels (2007)
  • Author(s): T. Nagao, P. Braun, S. Muller, K. Saito, S. Heusler & F. Haake
  • Journal Title: J. Phys. A : Math. Theor 40 Pages: 47-63
  • Peer Reviewed
• [Journal Article] Spectral Density of Sparse Sample Covariance Matrices (2007)
  • Author(s): T. Nagao & T. Tanaka
  • Journal Title: J. Phys. A : Math. Theor 40 Pages: 4973-4987
  • Peer Reviewed
• [Journal Article] Eigenvalue Statistics of the Real Ginibre Ensemble (2007)
  • Author(s): P. J. Forrester & T. Nagao
  • Journal Title: Phys. Rev. Lett 99 Pages: 50603-50603
  • Peer Reviewed
• [Journal Article] Semiclassical Approach to Parametric Spectral Correlation with Spin 1/2 (2007)
  • Author(s): T. Nagao & K. Saito
  • Journal Title: J. Phys. A: Math. Theor 40 Pages: 12055-12070
  • Peer Reviewed
• [Journal Article] Pfaffian Expressions for Random Matrix Correlation Functions (2007)
  • Author(s): T. Nagao
  • Journal Title: J. Stat. Phys 129 Pages: 1137-1158
  • Peer Reviewed
• [Journal Article] The pole dynamics of rational solutions of the viscous Burgers equation (2007)
  • Author(s): B. Deconinck, Y. Kimura & H. Segur.
  • Journal Title: J. Phys A: Math. Theor. 40 Pages: 5459-5467
  • Peer Reviewed
• [Journal Article] Anomalous diffusion in rotating stratified turbulence (2007)
  • Author(s): Y. Kimura & J. R. Herring
  • Journal Title: ERCOFTAC SERIES: Particle-landen flow: From geophysical to Kolmogorov scales 11 Pages: 97-102
  • Peer Reviewed
• [Journal Article] Statistical and Dynamical Questions in Stratified Turbulence, in Mathematical and Physical Theory of Turbulence (2006)
  • Author(s): J. R. Herring, Y. Kimura, R. James, J. Clyne & P. A. Davidson
  • Journal Title: A Series of Lecture Notes in Pure and Applied Mathematics 250 Pages: 101-113
  • Peer Reviewed
• [Journal Article] Motion of 3D vortex filament and particle transport (2006)
  • Author(s): Y. Kimura
  • Journal Title: in Proceedings of the IUTAM symposium on Elementary Vortices and Coherent Structures Significance in Turbulence Dynamics (ed. S. Kida, Springer) Fluid Mechanics and its applications 79 Pages: 275-282
  • Peer Reviewed
• [Journal Article] Global well-posedness for the KdV equations on the real line with low regularity forcing terms (2006)
  • Author(s): Kotaro Tsugawa
  • Journal Title: Commun. Contemp. Math. 8, no.5 Pages: 681-713
  • Peer Reviewed
• [Journal Article] Linking pairing and foliated cohomology (2006)
  • Author(s): Yoshihiko Mitsumatsu
  • Journal Title: Abstracts of the International Congress of Mathematicians Madrid Pages: 301-302
  • Peer Reviewed
• [Journal Article] Convergence of contact structure to foliations', Foliations 2005 ; Proc. International Conf (2006)
  • Author(s): Yoshihiko Mitsumatsu
  • Journal Title: Lodz, Poland, World Scientific Pages: 353-365
  • Peer Reviewed
• [Journal Article] On Benequin's isotopy lemma', Appendix to `Convergence of contact structure to foliations, Foliations 2005 ; Proc (2006)
  • Author(s): Atsuhide Mori and Yoshihiko Mitsumatsu
  • Journal Title: International Conf. Lodz, Poland, World Scientific Pages: 365-371
  • Peer Reviewed
• [Journal Article] Motion of 3D vortex filament and particle transport (2006)
  • Author(s): Kimura, Y.
  • Journal Title: Proceedings of the IUTAM symposium on Elementary Vortices and Coherent Structures : Significance in Turbulence Dynamics Pages: 275-282
• [Journal Article] Statistical and Dynamical Questions in Stratified Turbulence (2006)
  • Author(s): Herring, J.R., Kimura, Y., James, R., Clyne, J., Davidson, P.A.
  • Journal Title: Mathematical and Physical Theory of Turbulence (A Series of Lecture Notes in Pure and Applied Mathematics) volume 250 Pages: 101-114
• [Presentation] Remark on the time local well-posedness of the 1D Zakharov system (2009)
  • Author(s): 津川光太郎
  • Organizer: 日本数学会年会
  • Place of Presentation: 東京大学
  • Year and Date: 2009-03-29
• [Presentation] Remark on the time local well-posedness of the 1D Zakharov system (2009)
  • Author(s): 津川光太郎
  • Organizer: 臨時セミナー
  • Place of Presentation: パリ南大学
  • Year and Date: 2009-03-11
• [Presentation] Bennequin's isotopy lemma (2009)
  • Author(s): 三松佳彦
  • Organizer: トポロジープロジェクト研究集会「接触構造、特異点、微分方程式及びその周辺」
  • Place of Presentation: 岐阜
  • Year and Date: 2009-01-30
• [Presentation] Open Book分解から見た葉層構造と接触構造の(非)凸性と接触構造の葉層構造への収束 (2008)
  • Author(s): 三松佳彦
  • Organizer: 葉層の微分幾何とベルグマン核
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2008-12-16
• [Presentation] 非線形分散型方程式の適切性とフーリエ制限ノルム法 (2008)
  • Author(s): 津川光太郎
  • Organizer: 第3回奈良偏微分方程式研究会
  • Place of Presentation: 奈良女子大
  • Year and Date: 2008-12-13
• [Presentation] Spectral Study of Stably Stratified Turbulence, IUTAM Symposium on Rotating Stratified Turbulence and Turbulence in the Atmosphere and Oceans (2008)
  • Author(s): Y. Kimura & J. R. Herring
  • Organizer: Isaac Newton Institute for Mathematical Sciences
  • Place of Presentation: Cambridge, UK
  • Year and Date: 2008-12-11
• [Presentation] Spectral Study of Stably Stratified Turbulence (2008)
  • Author(s): Y. Kimura, J. R. Herring
  • Organizer: IUTAM Symposium on Rotating Stratified Turbulence and Turbulence in the Atmosphere and Oceans
  • Place of Presentation: Isaac Newton Institute for Mathematical Sciences, Cambridge, UK
  • Year and Date: 2008-12-11
• [Presentation] Transition in Energy Spectrum of Stably Stratified Turbulence (2008)
  • Author(s): Y. Kimura & J. R. Herring
  • Organizer: 61st Annual Meeting of APS/DFD
  • Place of Presentation: San Antonio, Texas
  • Year and Date: 2008-11-23
• [Presentation] Transition in Energy Spectrum of Stably Stratified Turbulence (2008)
  • Author(s): Y. Kimura, J. R. Herring
  • Organizer: 61st Annual Meeting of APS/DFD
  • Place of Presentation: San Antonio, Texas, USA
  • Year and Date: 2008-11-23
• [Presentation] Bennquin's isotopyLemma について (2008)
  • Author(s): 三松佳彦
  • Organizer: 葉層構造論シンポジウム
  • Place of Presentation: 東京大学玉原国際研究所
  • Year and Date: 2008-10-31
• [Presentation] Stratified Turbulence as an Element of Geophysical Fluid Dynamics (2008)
  • Author(s): 木村芳文
  • Organizer: 第20回諸分野のための数学研究会
  • Place of Presentation: 東京大学数理科学研究科
  • Year and Date: 2008-10-29
• [Presentation] Self-similar collapse of 2D and 3D vortex filament models, IUTAM Symposium on 150 Years of Vortex Dynamics (2008)
  • Author(s): Y. Kimura
  • Organizer: Technical University of Denmark
  • Place of Presentation: Lyngby, Denmark
  • Year and Date: 2008-10-16
• [Presentation] Self-similar collapse of 2D and 3D vortex filament models (2008)
  • Author(s): Y. Kimura
  • Organizer: IUTAM Symposium on 150 Years of Vortex Dynamics
  • Place of Presentation: Technical University of Denmark, Lyngby, Denmark
  • Year and Date: 2008-10-16
• [Presentation] 2次元乱流と3次元乱流基盤研究 (2008)
  • Author(s): 木村芳文
  • Organizer: 「非線形ダイナミクス」平成20年度第3回研究会
  • Place of Presentation: 大阪大学基礎工学研究科未来ラボ研究システム
  • Year and Date: 2008-10-08
• [Presentation] 2次元乱流と3次元乱流 (2008)
  • Author(s): 木村芳文
  • Organizer: 基盤研究非線形ダイナミクス平成20年度第3回研究会
  • Place of Presentation: 大阪大学基礎工学研究科未来ラボ研究システム
  • Year and Date: 2008-10-08
• [Presentation] Transition in Energy Spectrum for Forced Stratified Turbulence (2008)
  • Author(s): Y. Kimura
  • Organizer: Workshop on Inertial-Range Dynamics and Mixing 2008 年10 月3 日Isaac Newton Institute for Mathematical Sciences
  • Place of Presentation: Cambridge, UK
  • Year and Date: 2008-10-03
• [Presentation] Transition in Energy Spectrum for Forced Stratified Turbulence (2008)
  • Author(s): Y. Kimura
  • Organizer: Workshop on Inertial-Range Dynamics and Mixing
  • Place of Presentation: Isaac Newton Institute for Mathematical Sciences, Cambridge, UK
  • Year and Date: 2008-10-03
• [Presentation] Well-posedness for the Schrodinger-improved Boussinesq system in one space dimension (2008)
  • Author(s): 津川光太郎
  • Organizer: 日本数学会秋期総合分科会
  • Place of Presentation: 東京工業大学
  • Year and Date: 2008-09-27
• [Presentation] Well-posedness and weak rotation limit for the Ostrovsky equation (2008)
  • Author(s): 津川光太郎
  • Organizer: Workshop on Partial Differential Equations
  • Place of Presentation: 華東師範大学
  • Year and Date: 2008-07-14
• [Presentation] On Bennequin's isotopy lemma, VIII International Colloquium on Differential Geometry (2008)
  • Author(s): Yoshihiko Mitsumatsu
  • Organizer: Santiago de Compostela
  • Place of Presentation: Spain
  • Year and Date: 2008-07-08
• [Presentation] Well-posedness for quadratic nonlinear Schrodinger equations (2008)
  • Author(s): 津川光太郎
  • Organizer: 解析セミナー
  • Place of Presentation: 愛媛大学
  • Year and Date: 2008-06-13
• [Presentation] Well-posedness and weak rotation limit for the Ostrovsky equation (2008)
  • Author(s): 津川光太郎
  • Organizer: 7th AIMS International conference on Dynamical Systems, Differential Equations and Applications
  • Place of Presentation: テキサス大学
  • Year and Date: 2008-05-18
• [Presentation] Self-similar collapse of 3D vortex filament model, Workshop on Singularities in Mechanics : formation, propagation, and microscopic description (2008)
  • Author(s): Y.Kimura
  • Organizer: Institute of Henri Poincare
  • Place of Presentation: Paris, France
  • Year and Date: 2008-03-17
• [Presentation] 流体の特異性について (2008)
  • Author(s): 木村芳文
  • Organizer: Encounter with Mathematics 「第43回Euler 300歳記念流体力学・変分学編 始祖の業績と現在・未来への展開」
  • Place of Presentation: 中央大学
  • Year and Date: 2008-02-21
• [Presentation] 成層乱流のエネルギースペクトル (2008)
  • Author(s): 木村芳文
  • Organizer: 数理解析研究所共同研究集会「乱流研究の展望:ブレークスルーを求めて」
  • Place of Presentation: 京都大学数理解析研究所
• [Presentation] Transition in energy spectrum for forced stratified turbulence, American Physical Society/Division of Fluid Dynamics (2007)
  • Author(s): Y. Kimura & J. R. Herring
  • Organizer: 60th Annual Meeting
  • Place of Presentation: Salt Lake City, U.S.A
  • Year and Date: 2007-11-19
• [Presentation] Transition in energy spectrum for forced stratified turbulence (2007)
  • Author(s): Y. Kimura & J. R. Herring
  • Organizer: American Physical Society, Division of Fluid Dynamics. 60th Annual Meeting
  • Place of Presentation: Salt Lake City, USA
  • Year and Date: 2007-11-19
• [Presentation] bilinear estimate related to the Dirac-Klein-Gordon equations and the wave maps in one space dimension (2007)
  • Author(s): 津川光太郎
  • Organizer: Linear and Nonlinear Waves
  • Place of Presentation: ピアザ淡海
  • Year and Date: 2007-11-01
• [Presentation] Low regularity well-posedness of systems of transport equations (2007)
  • Author(s): 津川光太郎
  • Organizer: 京都大学NLPDE seminar
  • Place of Presentation: 京都大学
  • Year and Date: 2007-10-19
• [Presentation] Vortex dynamics from quantum to geophysical scales (2007)
  • Author(s): Y.Kimura
  • Organizer: Self-similar collapse of a filament dodecapole vortex model, EUROMECH Colloquium 491
  • Place of Presentation: Exeter大学, England
  • Year and Date: 2007-09-14
• [Presentation] Self-similar collapse of a filament dodecapole vortex modele (2007)
  • Author(s): Y. Kimura
  • Organizer: EUROMECH Colloquium 491, Vortex dynamics from quantum to geophysical scales
  • Place of Presentation: Exeter大学、UK
  • Year and Date: 2007-09-14
• [Presentation] 2-dimensional foliations and compact leaves on 4-manifolds (2007)
  • Author(s): Yoshihiko Mitsumatsu
  • Organizer: Intelligence of Low Dimensional Topology
  • Place of Presentation: 大阪市立大学
  • Year and Date: 2007-08-30
• [Presentation] Particle dispersion and structure formation in rotating stratified turbulence (2007)
  • Author(s): Y.Kimura
  • Organizer: 第18回 Congres Francais de mecanique
  • Place of Presentation: Grenoble Domain 大学, France
  • Year and Date: 2007-08-28
• [Presentation] Particle dispersion and structure formation in rotating stratified turbulence (2007)
  • Author(s): Y. Kimura
  • Organizer: 第18回 Congres Francais de mecanique
  • Place of Presentation: Grenoble大学、France
  • Year and Date: 2007-08-28
• [Presentation] `2-dimensional foliations and compact leaves on 4-manifolds', Foliation, Topology, and Geometry (2007)
  • Author(s): Yoshihiko Mitsumatsu
  • Organizer: PUC-Rio, Rio de Janeiro
  • Place of Presentation: Brazil
  • Year and Date: 2007-08-10
• [Presentation] Rigidity of the Weyl chamber flow, and the vanishing theorems of Weil and Matsushima (2007)
  • Author(s): Masahiko, KANAI
  • Organizer: International Conference "Spectral Analysis in Geometry and Number Theory"
  • Place of Presentation: Nagoya, Japan
  • Year and Date: 2007-08-06
• [Presentation] Self-similar collapse of the straight vortex-filament dodecapole (2007)
  • Author(s): Y.Kimura
  • Organizer: 6th Intetnational Congress on Industrial and Applied Mathematics
  • Place of Presentation: ETH/Swiss
  • Year and Date: 2007-07-17
• [Presentation] Self-similar collapse of the straight vortex-filament dodecapole (2007)
  • Author(s): Y. Kimura
  • Organizer: 6th Intetnational Congress on Industrial and Applied Mathematics
  • Place of Presentation: Zurich, Switherland
  • Year and Date: 2007-07-17
• [Presentation] 非線形波動方程式の時間局所適切性 (2007)
  • Author(s): 津川光太郎
  • Organizer: 東京理科大学理工学部数学科談話会
  • Place of Presentation: 東京理科大学理工学部
  • Year and Date: 2007-06-01
• [Presentation] Growth of vorticity gradient in 2D turbulence, Two-dimensional Turbulence (2007)
  • Author(s): Y.Kimura
  • Organizer: Lorenz Center
  • Place of Presentation: Leiden/Netherlands
  • Year and Date: 2007-03-21
• [Presentation] 多様体上の流体力学の幾何学的基礎付けについて (2007)
  • Author(s): 三松佳彦
  • Organizer: 第56回理論応用力学講演会
  • Place of Presentation: 日本学術会議,東京
  • Year and Date: 2007-03-07
• [Presentation] 4次元多様体上の2次元葉層構造とコンパクト葉,「4次元多様体上の2次元葉層構造とコンパクト葉」, Geometry and Something (2007)
  • Author(s): 三松佳彦
  • Organizer: 福岡大学セミナーハウス
  • Place of Presentation: 福岡
  • Year and Date: 2007-02-01
• [Presentation] 定曲率曲面上の渦運動 (2007)
  • Author(s): 木村芳文
  • Organizer: 研究集会「ハミルトン系とその周辺」
  • Place of Presentation: 岐阜大学
• [Presentation] 葉層構造に対するThurstonの不等式について1, 2, 3, 4 (2007)
  • Author(s): 児玉大樹、三松佳彦、森淳秀、三好重明
  • Organizer: 葉層構造論シンポジウム
  • Place of Presentation: 東京大学玉原国際研究所
• [Presentation] 4次元多様体上の2次元葉層とコンパクト葉の構成 (2006)
  • Author(s): 三松佳彦
  • Organizer: 同相群とその周辺
  • Place of Presentation: 京都工芸繊維大学
  • Year and Date: 2006-12-22
• [Presentation] Lagrangian Particle Dispersion in Rotating Stratified Turbulence (2006)
  • Author(s): Y. Kimura & J. R. Herring
  • Organizer: Sixth International Symposium on Stratified Flows
  • Place of Presentation: Perth/Australia
  • Year and Date: 2006-12-14
• [Presentation] Well-posedness and weakrotation limit for the Ostrovsky quation (2006)
  • Author(s): 津川光太郎
  • Organizer: 第4回浜松偏微分方程式研究集会
  • Place of Presentation: 静岡大学工学部
  • Year and Date: 2006-12-10
• [Presentation] Anomalous diffusion in rotating stratified turbulence, American Physical Society/Division of Fluid Dynamics (2006)
  • Author(s): Y. Kimura & J. R. Herring
  • Organizer: 59th Annual Meeting
  • Place of Presentation: Tampa/U.S.A
  • Year and Date: 2006-11-20
• [Presentation] Well-posedness and weak rotation limit for the Ostrovsky quation (2006)
  • Author(s): 津川光太郎
  • Organizer: Sapporo Guest House Symposium on Mathematics 22「Nonlinear wave equations」
  • Place of Presentation: Sapporo Guest House
  • Year and Date: 2006-11-20
• [Presentation] 4次元多様体上の2次元葉層とコンパクト葉の自己交差 (2006)
  • Author(s): 三松佳彦
  • Organizer: 葉層構造論研究集会
  • Place of Presentation: 東京大学玉原国際セミナーハウス
  • Year and Date: 2006-10-24
• [Presentation] Well-posedness and weak rotation limit for the Ostrovsky quation (2006)
  • Author(s): 津川光太郎
  • Organizer: 日本数学会2006年度秋季総合分科会
  • Place of Presentation: 大阪市立大
  • Year and Date: 2006-09-22
• [Presentation] Asymptotic linking pairing and foliated cohomology (2006)
  • Author(s): Yoshihiko Mitsumatsu
  • Organizer: International Symposium on Groups of Diffeomorphisms 2006
  • Place of Presentation: 東京大学
  • Year and Date: 2006-09-12
• [Presentation] Linking and foliated cohomology (2006)
  • Author(s): Yoshihiko Mitsumatsu
  • Organizer: International Congress of Mathematicians Madrid 2006
  • Place of Presentation: Madrid
  • Year and Date: 2006-08-29
• [Presentation] Motion of an Elliptic Vortex Ring and Particle Transport, IUTAM symposium on HamiltonianDynamics (2006)
  • Author(s): Y.Kimura
  • Organizer: Vortex Structures, turbulence, Steklov Mathematical Institute
  • Place of Presentation: Moscow/Russia
  • Year and Date: 2006-08-25
• [Presentation] "Weyl chamber flow"の剛性とWeil・松島による古典的な消滅定理 (2006)
  • Author(s): 金井雅彦
  • Organizer: 表現論シンポジウム
  • Place of Presentation: 京都大学数理解析研究所
  • Year and Date: 2006-08-22
• [Presentation] On Thurston's inequality for spinnable foliations (2006)
  • Author(s): Yoshihiko Mitsumatsu
  • Organizer: VII Workshop on Symplectic and Contact Topology (GESTA 2006)
  • Place of Presentation: Madrid
  • Year and Date: 2006-08-16
• [Presentation] Anomalous diffusion in rotating stratified turbulence (2006)
  • Author(s): Y. Kimura & J. R. Herring
  • Organizer: Euromech Colloquium 477 on Particle-laden flow : From geophysical to Kolmogorov scales, University of Twente
  • Place of Presentation: Enscede/Netherland
  • Year and Date: 2006-06-21
• [Presentation] A remark on Koch-Tzvetkov type estimates (2006)
  • Author(s): 津川光太郎
  • Organizer: 研究集会「非線形分散型・波動方程式における解の漸近挙動」
  • Place of Presentation: 数理解析研究所
  • Year and Date: 2006-05-24
• [Presentation] Infinitesimal rigidity of the Weyl chamber flow via the vanishing theorem of Weil (2006)
  • Author(s): Masahiko, KANAI
  • Organizer: Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry
  • Place of Presentation: Oberwolfach, Germany