Basic Information

Affiliated programs (koza)

• Graduate School of Science, 数学・数理解析専攻 応用数理講座, 教授

Professional Memberships

• 日本応用数理学会

Academic Degree

• Doctor of Science(Kyoto University)
• Master of Science(Kyoto University)

Research History

• From Apr. 2024, To Present

  Kyoto University, Research Institute for Mathematical Sciences, Director
• From Apr. 2021

  Kyoto University, Research Institute for Mathematical Sciences, Professor
• From Sep. 2006, To Mar. 2021

  University of Sheffield, School of Mathematics and Statistics, Professor
• From Oct. 1996, To Aug. 2006

  Kyoto University, Research Institute for Mathematical Sciences, Associate Professor
• From Oct. 1996, To Aug. 2006

  Kyoto University, Associate Professor
• From Apr. 1994, To Sep. 1996

  Hiroshima University, School of Integrated Arts and Sciences, Associate Professor
• From Apr. 1994, To Sep. 1996

  Hiroshima University, Associate Professor
• From Jul. 1990, To Mar. 1994

  Kyoto University, Research Institute for Mathematical Sciences, Research Associate
• From Jul. 1990, To Mar. 1994

  Kyoto University, Research Associate

ID,URL

• J-Global ID

  200901073057744745

• External link

  http://www.kurims.kyoto-u.ac.jp

Website(s) (URL(s))

• https://www.kurims.kyoto-u.ac.jp/~ohkitani/

researchmap URL

• https://researchmap.jp/read0012990

Research

Research Topics, Overview of the research

• Research Topics

  Mathematical Fluid mechanics

• Overview of the research

  Koji Ohkitani works in fluid mechanics on the basis of mathematical analysis, numerical computations and physical modelling. He is particularly interested in vortex dynamics as a foundation for turbulence theory.

Research Interests

• 乱流
• 渦運動力学
• 物理学一般
• Turbulence
• Vortex dynamics
• Physics in General

Research Areas

• Natural sciences, Mathematical physics and basic theory
• Natural sciences, Applied mathematics and statistics
• Natural sciences, Basic mathematics

Papers

• Generalized incompressible fluid dynamical system interpolating between the Navier–Stokes and Burgers equations in two dimensions

  Koji Ohkitani

  Journal of Physics A: Mathematical and Theoretical, 28 Apr. 2025

  
• Numerical study on how advection delays and removes singularity formation in the Navier–Stokes equations

  Koji Ohkitani

  Nonlinearity, 01 May 2024

  
• Numerical comparison of two-dimensional Navier-Stokes flows on the whole plane and the periodic domain

  Koji Ohkitani

  Physical Review Fluids, 22 Dec. 2023

  
• Self-similar solutions to the hypoviscous Burgers and SQG equations at criticality

  Koji Ohkitani

  Journal of Physics A: Mathematical and Theoretical, 07 Jul. 2023

  
• Self-similarity in turbulence and its applications

  Koji Ohkitani

  Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 27 Jun. 2022

  
• Remarks on the principles of statistical fluid mechanics

  Koji Ohkitani

  Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 07 Mar. 2022

  
• Self-similar source-type solutions to the three-dimensional Navier–Stokes equations

  K. Ohkitani; R. Vanon

  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Feb. 2022

  
• Isaac Newton Institute(Overseas,Laboratories)

  Ohkitani Koji

  Bulletin of the Japan Society for Industrial and Applied Mathematics, 1999

  
• Structure and statistics of a turbulent flow. Elongation of vorticity and passive vector of the uniform isotropic turbulence flow.

  大木谷 耕司

  nagare, 25 Dec. 1998

  
• Route to turbulence.

  Kida Shigeo; Yamada Michio; Ohkitani Koji

  Butsuri, 1988

  
• Study of the Hopf functional equation for turbulence: Duhamel principle and dynamical scaling

  Koji Ohkitani

  Physical Review E, 08 Jan. 2020, Peer-reviewed

  
• Applications of a Cole–Hopf transform to the 3D Navier–Stokes equations

  Riccardo Vanon; Koji Ohkitani

  Journal of Turbulence, 03 Apr. 2018, Peer-reviewed

  
• Study of the 3D Euler equations using Clebsch potentials: dual mechanisms for geometric depletion

  Koji Ohkitani

  Nonlinearity, 01 Feb. 2018, Peer-reviewed, Invited

  
• Cole-Hopf-Feynman-Kac formula and quasi-invariance for Navier-Stokes equations

  Koji Ohkitani

  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Oct. 2017, Peer-reviewed

  
• Analogue of the Cole-Hopf transform for the incompressible Navier-Stokes equations and its application

  Koji Ohkitani

  JOURNAL OF TURBULENCE, 2017, Peer-reviewed

  
• Near-invariance under dynamic scaling for Navier-Stokes equations in critical spaces: a probabilistic approach to regularity problems

  Koji Ohkitani

  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Jan. 2017, Peer-reviewed

  
• Characterization of blowup for the Navier-Stokes equations using vector potentials

  Koji Ohkitani

  AIP ADVANCES, Jan. 2017, Peer-reviewed

  
• Study of the Navier-Stokes regularity problem with critical norms

  Koji Ohkitani

  FLUID DYNAMICS RESEARCH, Apr. 2016, Peer-reviewed

  
• Late formation of singularities in solutions to the Navier-Stokes equations

  Koji Ohkitani

  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Jan. 2016, Peer-reviewed

  
• Dynamical equations for the vector potential and the velocity potential in incompressible irrotational Euler flows: A refined Bernoulli theorem

  Koji Ohkitani

  PHYSICAL REVIEW E, Sep. 2015, Peer-reviewed

  
• Singularity formation in the Smirnov–Chukbar–Zaburdaev equation for the deformation of vortex lattices

  Koji Ohkitani; Fayeza Al Sulti

  Journal of Physics A: Mathematical and Theoretical, 24 May 2013, Peer-reviewed

  
• Intermittency and local Reynolds number in Navier-Stokes turbulence: A cross-over scale in the Caffarelli-Kohn-Nirenberg integral

  Mark Dowker; Koji Ohkitani

  PHYSICS OF FLUIDS, Nov. 2012, Peer-reviewed

  
• The Fefferman-Stein decomposition for the Constantin-Lax-Majda equation: Regularity criteria for inviscid fluid dynamics revisited

  Koji Ohkitani

  JOURNAL OF MATHEMATICAL PHYSICS, Nov. 2012, Peer-reviewed

  
• Asymptotics and numerics of a family of two-dimensional generalized surface quasi-geostrophic equations

  Koji Ohkitani

  PHYSICS OF FLUIDS, Sep. 2012, Peer-reviewed

  
• Vortex merger and topological changes in two-dimensional turbulence

  Fayeza Al Sulti; Koji Ohkitani

  Physical Review E, 10 Jul. 2012, Peer-reviewed

  
• Numerical study on comparison of Navier-Stokes and Burgers equations

  Koji Ohkitani; Mark Dowker

  PHYSICS OF FLUIDS, May 2012, Peer-reviewed

  
• Corrigendum: Oscillatory damping in long-time evolution of the surface quasi-geostrophic equations with generalized viscosity: a numerical study

  Koji Ohkitani; Takashi Sakajo

  Nonlinearity, 01 Jul. 2012, Peer-reviewed

  
• Growth rate analysis of scalar gradients in generalized surface quasigeostrophic equations of ideal fluids

  Koji Ohkitani

  PHYSICAL REVIEW E, Mar. 2011, Peer-reviewed

  
• Oscillatory damping in long-time evolution of the surface quasi-geostrophic equations with generalized viscosity : a numerical study

  Ohkitani Koji; Sakajo Takashi

  Nonlinearity, Dec. 2010, Peer-reviewed

  
• Quantification of topological changes of vorticity contours in two-dimensional Navier-Stokes flow

  Koji Ohkitani; Fayeza Al Sulti

  Physical Review E, 30 Jun. 2010, Peer-reviewed

  
• Dynamics of the Jacobian matrices arising in three-dimensional Euler equations: application of Riccati theory

  Koji Ohkitani

  PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, May 2010, Peer-reviewed

  
• Numerical study on the incompressible Euler equations as a Hamiltonian system: Sectional curvature and Jacobi field

  K. Ohkitani

  PHYSICS OF FLUIDS, May 2010, Peer-reviewed

  
• Burgers equation with a passive scalar: Dissipation anomaly and Colombeau calculus

  Koji Ohkitani; Mark Dowker

  Journal of Mathematical Physics, 2010, Peer-reviewed

  
• Two- and three-dimensional magnetic reconnection observed in the Eulerian-Lagrangian analysis of magnetohydrodynamics equations (vol 78, 066315, 2008)

  K. Ohkitani; P. Constantin

  PHYSICAL REVIEW E, Dec. 2009, Peer-reviewed

  
• Non-linearity depletion, elementary excitations and impulse formulation in vortex dynamics

  Koji Ohkitani

  GEOPHYSICAL AND ASTROPHYSICAL FLUID DYNAMICS, 2009, Peer-reviewed

  
• A miscellany of basic issues on incompressible fluid equations

  Koji Ohkitani

  NONLINEARITY, Dec. 2008, Peer-reviewed

  
• Two- and three-dimensional magnetic reconnection observed in the Eulerian-Lagrangian analysis of magnetohydrodynamics equations

  K. Ohkitani; P. Constantin

  PHYSICAL REVIEW E, Dec. 2008, Peer-reviewed

  
• A geometrical study of 3D incompressible Euler flows with Clebsch potentials - a long-lived Euler flow and its power-law energy spectrum

  Koji Ohkitani

  PHYSICA D-NONLINEAR PHENOMENA, Aug. 2008, Peer-reviewed

  
• Numerical study on the Eulerian-Lagrangian analysis of Navier-Stokes turbulence

  K. Ohkitani; P. Constantin

  PHYSICS OF FLUIDS, Jul. 2008, Peer-reviewed

  
• A blow-up problem of a class of axisymmetric Navier-Stokes equations with infinite energy

  K. Ohkitani

  JOURNAL OF MATHEMATICAL PHYSICS, Jun. 2007, Peer-reviewed

  
• A note on regularity conditions on ideal magnetohydrodynamic equations

  Ohkitani K

  PHYSICS OF PLASMAS, Apr. 2006

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• Invariants, diffusion and topological change in incompressible Navier-Stokes equations

  Peter Constantin; Koji Ohkitani

  IUTAM SYMPOSIUM ON ELEMENTARY VORTICES AND COHERENT STRUCTURES: SIGNIFICANCE IN TURBULENCE DYNAMICS, 2006, Peer-reviewed

  
• On the role of the convection term in the equations of motion of incompressible fluid

  H Okamoto; K Ohkitani

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Oct. 2005, Peer-reviewed

  
• Linearly strained flows with and without boundaries - the regularizing effect of the pressure term

  RB Pelz; K Ohkitani

  FLUID DYNAMICS RESEARCH, Apr. 2005

  
• A survey on a class of exact solutions of the Navier-Stokes equations and a model for turbulence

  K Ohkitani

  PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Dec. 2004, Peer-reviewed

  
• Numerical study of the Eulerian-Lagrangian formulation of the Navier-Stokes equations

  K Ohkitani; P Constantin

  PHYSICS OF FLUIDS, Oct. 2003

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• Numerical study of comparison of vorticity and passive vectors in turbulence and inviscid flows

  K Ohkitani

  PHYSICAL REVIEW E, Apr. 2002

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• Singularity formation in a class of stretched solutions of the equations for ideal magneto-hydrodynamics

  JD Gibbon; K Ohkitani

  NONLINEARITY, Sep. 2001, Peer-reviewed

  
• Numerical study of singularity formation in a class of Euler and Navier-Stokes flows

  K Ohkitani; JD Gibbon

  PHYSICS OF FLUIDS, Dec. 2000

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• Asymptotic formulas for the Lyapunov spectrum of fully developed shell model turbulence

  M Yamada; K Ohkitani

  PHYSICAL REVIEW E, Jun. 1998

  
• Stretching of Vorticity and Passive Vectors in Isotropic Turbulence

  Koji Ohkitani

  Journal of the Physical Society of Japan, 1998

  
• Inviscid and inviscid-limit behavior of a surface quasigeostrophic flow

  K Ohkitani; M Yamada

  PHYSICS OF FLUIDS, Apr. 1997

  
• NONLOCAL NATURE OF VORTEX STRETCHING IN AN INVISCID FLUID

  K OHKITANI; S KISHIBA

  PHYSICS OF FLUIDS, Feb. 1995

  
• Energy and Enstrophy Fluxes in Shell Models of Turbulence

  M.Yamada; K.Ohkitani

  Proceedings of the International Conference on Dynamical Systems and Chaos, 1995, Peer-reviewed

  
• MULTIFRACTAL PHENOMENOLOGY AND THE REFINED SIMILARITY HYPOTHESIS IN TURBULENCE

  K OHKITANI

  PHYSICAL REVIEW E, Nov. 1994

  
• INTERACTION OF HELICAL MODES IN FORMATION OF VORTICAL STRUCTURES IN DECAYING ISOTROPIC TURBULENCE

  S KISHIBA; K OHKITANI; S KIDA

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Jun. 1994, Peer-reviewed

  
• STRETCHED VORTICES - THE SINEWS OF TURBULENCE - LARGE-REYNOLDS-NUMBER ASYMPTOTICS (VOL 259, PG 241, 1994)

  HK MOFFATT; S KIDA; K OHKITANI

  JOURNAL OF FLUID MECHANICS, May 1994

  
• Kinematics of vorticity: Vorticity-strain conjugation in incompressible fluid flows

  Koji Ohkitani

  Physical Review E, 1994

  
• STRETCHED VORTICES - THE SINEWS OF TURBULENCE - LARGE-REYNOLDS-NUMBER ASYMPTOTICS

  HK MOFFATT; S KIDA; K OHKITANI

  JOURNAL OF FLUID MECHANICS, Jan. 1994

  
• PHYSICAL-SPACE NONLOCALITY IN DECAYING ISOTROPIC TURBULENCE

  S KISHIBA; K OHKITANI; S KIDA

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Nov. 1993

  
• EIGENVALUE PROBLEMS IN 3-DIMENSIONAL EULER FLOWS

  K OHKITANI

  PHYSICS OF FLUIDS A-FLUID DYNAMICS, Oct. 1993

  
• LAGRANGIAN FROZEN-IN HYPOTHESIS FOR VORTEX STRETCHING

  K OHKITANI

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Feb. 1993

  
• Wavelet Analysis of PDFs in Turbulence

  M.Yamada; S.Kida; K.Ohkitani

  Unstable and Turbulent Motion of Fluid, ed. S.Kida, World Scientific, 1993, Peer-reviewed

  
• FINE-STRUCTURE OF ENERGY-TRANSFER IN TURBULENCE

  S KIDA; K OHKITANI

  PHYSICS OF FLUIDS A-FLUID DYNAMICS, Aug. 1992

  
• SPATIOTEMPORAL INTERMITTENCY AND INSTABILITY OF A FORCED TURBULENCE

  S KIDA; K OHKITANI

  PHYSICS OF FLUIDS A-FLUID DYNAMICS, May 1992

  
• TRIAD INTERACTIONS IN A FORCED TURBULENCE

  K OHKITANI; S KIDA

  PHYSICS OF FLUIDS A-FLUID DYNAMICS, Apr. 1992

  
• DO SINGULAR STRUCTURES MOVE WITH AN INVISCID FLUID

  K OHKITANI

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Mar. 1992

  
• AN IDENTIFICATION OF ENERGY CASCADE IN TURBULENCE BY ORTHONORMAL WAVELET ANALYSIS

  M YAMADA; K OHKITANI

  PROGRESS OF THEORETICAL PHYSICS, Oct. 1991

  
• ENSTROPHY AND MOMENTUM FLUXES IN 2-DIMENSIONAL SHEAR-FLOW TURBULENCE

  S TOH; K OHKITANI; M YAMADA

  PHYSICA D, Aug. 1991

  
• WAVE NUMBER SPACE DYNAMICS OF ENSTROPHY CASCADE IN A FORCED 2-DIMENSIONAL TURBULENCE

  K OHKITANI

  PHYSICS OF FLUIDS A-FLUID DYNAMICS, Jun. 1991

  
• NOTE ON A CLASS OF SIMPLE BLOW-UP SOLUTIONS WITH UNIFORM VORTICITY TO 3-DIMENSIONAL EULER EQUATIONS

  K OHKITANI

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Mar. 1991

  
• Orthonormal Wavelet Analysis of Turbulence

  M.Yamada; K.Ohkitani

  Fluid Dyn.Res., 1991, Peer-reviewed

  
• ENERGY AND FLATNESS SPECTRA IN A FORCED TURBULENCE

  S KIDA; Y MURAKAMI; K OHKITANI; M YAMADA

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Dec. 1990, Peer-reviewed

  
• A CLASS OF SIMPLE BLOW-UP SOLUTIONS WITH UNIFORM VORTICITY TO 3-DIMENSIONAL EULER EQUATIONS

  K OHKITANI

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Nov. 1990

  
• ENSTROPHY CASCADE IN A MODEL OF 2D TURBULENCE - COMPARISON WITH 3D ENERGY CASCADE

  K OHKITANI; M YAMADA

  PROGRESS OF THEORETICAL PHYSICS, Sep. 1990

  
• NONLOCALITY IN A FORCED 2-DIMENSIONAL TURBULENCE

  K OHKITANI

  PHYSICS OF FLUIDS A-FLUID DYNAMICS, Sep. 1990

  
• ORTHONORMAL WAVELET EXPANSION AND ITS APPLICATION TO TURBULENCE

  M YAMADA; K OHKITANI

  PROGRESS OF THEORETICAL PHYSICS, May 1990

  
• ERROR GROWTH IN A DECAYING 2-DIMENSIONAL TURBULENCE

  S KIDA; M YAMADA; K OHKITANI

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Jan. 1990, Peer-reviewed

  
• TRIPLY PERIODIC MOTION IN A NAVIER-STOKES FLOW

  S KIDA; K OHKITANI; M YAMADA

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Jul. 1989, Peer-reviewed

  
• A ROUTE TO CHAOS AND TURBULENCE

  S KIDA; M YAMADA; K OHKITANI

  PHYSICA D, Jul. 1989, Peer-reviewed

  
• LOG-CORRECTED ENERGY-SPECTRUM AND DIMENSION OF ATTRACTOR IN TWO-DIMENSIONAL TURBULENCE

  K OHKITANI

  PHYSICS OF FLUIDS A-FLUID DYNAMICS, Mar. 1989

  
• TEMPORAL INTERMITTENCY IN THE ENERGY CASCADE PROCESS AND LOCAL LYAPUNOV ANALYSIS IN FULLY-DEVELOPED MODEL TURBULENCE

  K OHKITANI; M YAMADA

  PROGRESS OF THEORETICAL PHYSICS, Feb. 1989, Peer-reviewed

  
• ROUTE TO CHAOS IN A NAVIER-STOKES FLOW

  S KIDA; M YAMADA; K OHKITANI

  RECENT TOPICS IN NONLINEAR PDE IV, 1989, Peer-reviewed

  
• MOTION OF AN INTERFACE BETWEEN 2 UNIFORM-VORTICITY REGIONS IN TWO-DIMENSIONAL INVISCID FLUIDS

  K OHKITANI

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Jan. 1989, Peer-reviewed

  
• Lyapunov Spectrum of a Model of Two-Dimensional Turbulence

  M.Yamada; K.Ohkitani

  Phys.Rev.Lett., 1988, Peer-reviewed

  
• The Inertial Subrange and Non-Positive Lyapunov Exponents in Fully-Developed Turbulence

  Michio YAMADA; Koji OHKITANI; Disaster Prevention Research Institute Kyoto University; Department of Physics Kyoto University

  Progress of theoretical physics = Progress of theoretical physics, 25 Jun. 1988, Peer-reviewed

  
• The Energy Spectrum in the Universal Range of Two-Dimensional Turbulence

  S.Kida; M.Yamada; K.Ohkitani

  Fluid Dyn.Res., 1988, Peer-reviewed

  
• The Constants of Motion and the Inertial Subrange Spectrum in Fully-Developed Turbulence

  M.Yamada; K.Ohkitani

  Phys.Lett.A, 1988, Peer-reviewed

  
• LYAPUNOV SPECTRUM OF A CHAOTIC MODEL OF 3-DIMENSIONAL TURBULENCE

  M YAMADA; K OHKITANI

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Dec. 1987

  

Misc.

• 28aXG-5 Numerical simulations of magnetic reconnection

  Ohkitani Koji

  Meeting abstracts of the Physical Society of Japan, 04 Mar. 2006

  
• 19pXJ-2 Blowup of a class of axisymmetric Naver-Stokes flows

  Ohkitani Koji

  Meeting abstracts of the Physical Society of Japan, 19 Aug. 2005

  
• Eulerian-Lagrangian analysis of MHD equations (Turbulence phenomena and their reduction from the point of view of dynamical systems)

  Ohkitani Koji; Constantin P.

  RIMS Kokyuroku, May 2005

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• Eulerian-Lagrangian analysis of turbulence (Anatomy of Turbulence : Flow Structure and Its Function)

  Ohkitani Koji; Constantin P.

  RIMS Kokyuroku, Dec. 2004

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• Linear strain flows with and without boundaries : the regularizing effect of the pressure term (Turbulence Transport, Diffusion and Mixing)

  Pelz Richard B.; Ohkitani Koji

  RIMS Kokyuroku, Sep. 2003

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• Generalized incompressible fluid flow by Weber transform

  Ohkitani Koji

  Meeting abstracts of the Physical Society of Japan, 15 Aug. 2003

  
• The final works of Rich Pelz, a man of warm-hearted intelligence (Rich Pelz' Contributions to Fluid Dynamics)

  Ohkitani Koji

  RIMS Kokyuroku, May 2003

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• Numerical study of vortex reconnection via Euler-Lagrange formalism

  OHKITANI Koji

  日本流体力学会年会講演論文集, 2002

  
• Blow-up problems modeled from the strain-vorticity dynamics (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)

  Ohkitani Koji; Okamoto Hisashi

  RIMS Kokyuroku, Oct. 2001

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• Comparison between the Boussinesq and coupled Euler equations in two dimensions (Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics)

  Ohkitani Koji

  RIMS Kokyuroku, Oct. 2001

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• The Boussinesq and coupled Euler equations

  Ohkitani Koji

  Meeting abstracts of the Physical Society of Japan, 03 Sep. 2001

  
• 乱流中の渦構造の形成に関する粘性散逸のはたらき (乱流構造の数理 : 発生・動力学・統計・応用)

  大木谷 耕司

  数理解析研究所講究録, Jul. 2001

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• A quantitative estimate of vortex stretching and viscous diffusion in turbulence via genneralized Cauchy law

  Ohkitani Koji

  Meeting abstracts of the Physical Society of Japan, 09 Mar. 2001

  
• オイラー方程式のあるクラスのストレッチ解における特異点の形成 (乱流の統計性質と構造に基づくその動力学的記述)

  大木谷 耕司; Gibson John D.

  数理解析研究所講究録, Apr. 2000

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• A variational characterization of time development of three-dimensional turbulence

  Ohkitani Koji

  Meeting abstracts of the Physical Society of Japan, 10 Mar. 2000

  
• Identification of vortex structure via local helicity in turbulence

  OHKITANI Koji

  日本流体力学会年会講演論文集, 2000

  
• 25pV-1 Singularity formation in a class of stretched solutions of Euler and Navier-Stokes equations

  OHKITANI Koji

  Meeting abstracts of the Physical Society of Japan, 03 Sep. 1999

  
• Dynamics of the Jacobian matrix in inviscid flows

  OHKITANI Koji

  Meeting abstracts of the Physical Society of Japan, 05 Sep. 1998

  
• Vortex structures and depletion nonlinearity in turbulence

  OHKITANI Koji

  年会一般講演, Jul. 1998

  
• 乱流中の渦度とパッシブベクターの伸長過程について (渦度場のダイナミックスと乱流の数理)

  大木谷 耕司

  数理解析研究所講究録, Jun. 1998

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• Stretching of vorticity and passive vectors in turbuleace

  OHKITANI Koji

  Meeting abstracts of the Physical Society of Japan, 10 Mar. 1998

  
• 6a-YB-12 Asymptotic formula for stretching of vorticity and its alignment with rate-of-strain tensor

  OHKITANI Koji

  Meeting abstracts of the Physical Society of Japan, 16 Sep. 1997

  
• Taylor-Green 渦のエンストロフィーの逐次近似(計算流体力学に関わる数理的諸問題)

  大木谷 耕司

  数理解析研究所講究録, Nov. 1996

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• 2次元準地衡近似方程式とそのモデル(渦度場の幾何学的構造と乱流統計)

  大木谷 耕司; 山田 道夫

  数理解析研究所講究録, Nov. 1996

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• 乱流シェルモデルのリヤプノフスペクトル(数理流体力学の展望)

  山田 道夫; 大木谷 耕司

  数理解析研究所講究録, Sep. 1995

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• Null Lypapunov exponents in a cascade model of turbulence

  Yamada Michio; Ohkitani Koji

  Abstracts of the meeting of the Physical Society of Japan. Annual meeting, 16 Mar. 1995

  
• 渦運動の非局所性と特異積分変換(乱流の構造と統計法則)

  大木谷 耕司

  数理解析研究所講究録, Jan. 1995

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• 29p-YD-6 Formation of vortex tube in turbulence and helical decomposition II

  Kishiba Seigo; Ohkitani Kouji; Kida Shigeo

  Abstracts of the meeting of the Physical Society of Japan. Annual meeting, 16 Mar. 1994

  
• 等方乱流中の渦層 : 渦管遷移(乱流の発生と統計法則II)

  岸場 清悟; 大木谷 耕司; 木田 重雄

  数理解析研究所講究録, Oct. 1993

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• 13p-ZA-5 Formation of vortex tube in turbulence and helical decomposition

  Kishiba Seigo; Ohkitani Kouji; Kida Shigeo

  Abstracts of the meeting of the Physical Society of Japan. Sectional meeting, 20 Sep. 1993

  
• 14a-P-8 Refined similarity and multifractality in turbulence

  Ohkitani Koji

  Abstracts of the meeting of the Physical Society of Japan. Sectional meeting, 20 Sep. 1993

  
• 1p-Z-4 The sheet-tube transition in isotoropic turbulence

  Kishiba Seigo; Ohkitani Kouji; Kida Shigeo

  Abstracts of the meeting of the Physical Society of Japan. Annual meeting, 16 Mar. 1993

  
• 26p-G-3 Vortex Stretching in Inviscid Flows

  Ohkitani Koji

  秋の分科会講演予稿集, 14 Sep. 1992

  
• 非粘性流のラグランジュ的性質(乱流の発生と統計法則)

  大木谷 耕司

  数理解析研究所講究録, Aug. 1992

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• 28a-ZD-8 New statistical method of extended multifractal structure and the analysis for turbulent flow

  Suzuki T.; Yamada M.; Ohkitani K.

  年会講演予稿集, 12 Mar. 1992

  
• 28a-ZD-12 Helical Turbulence

  KIDA Shigeo; Ohkitani Koji

  年会講演予稿集, 12 Mar. 1992

  
• ウエーブレットについて(基研短期研究会「数理物理学における非線形問題」,研究会報告)

  山田 道夫; 大木谷 耕司

  物性研究, 1992

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• 一様渦度をもつ3次元流の簡単な爆発解(流体方程式の解の空間的構造)

  大木谷 耕司

  数理解析研究所講究録, Dec. 1991

  Access this misc :

  
• 乱流間欠性の空間構造(流体方程式の解の空間的構造)

  山田 道夫; 大木谷 耕司

  数理解析研究所講究録, Dec. 1991

  Access this misc :

  
• 27p-J-11 Triad Interactions in Turbulence

  Kida Shigeo; Ohkitani Koji

  年会講演予稿集, 12 Sep. 1991

  
• 非粘性流の特異性に関するラグランジュ凍結仮説(流れの不安定性と乱流の渦構造)

  大木谷 耕司

  数理解析研究所講究録, Sep. 1991

  Access this misc :

  
• 乱流の渦と散逸構造(流れの不安定性と乱流の渦構造)

  木田 重雄; 村上 洋一; 大木谷 耕司

  数理解析研究所講究録, Sep. 1991

  Access this misc :

  
• 26a-L-4 Lyapunov Analysis of Three-dimensional Turbulence

  Kida Shigeo; Ohkitani Koji

  春の分科会講演予稿集, 11 Mar. 1991

  
• Orthonormal Wavelet Analysis of Turbulence :

  山田 道夫; 大木谷 耕司

  物性研究, 1991

  
• Do singular structures move with inviscid fluid? :

  大木谷 耕司

  物性研究, 1991

  
• Wavelet Analysis of Turbulence Signal

  Yamada Michio; Ohkitani Koji

  RIMS Kokyuroku, Jan. 1991

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• 3p-J-12 Nonlocal interaction in two-dimensional turbulence

  Ohkitani Koji

  秋の分科会講演予稿集, 12 Sep. 1990

  
• 3p-J-11 Intermittent Energy Cascade in Turbulence

  Kida Shigeo; Murakami Youichi; Yamada Michio; Ohkitani Koji

  秋の分科会講演予稿集, 12 Sep. 1990

  
• 2次元乱流の対数補正についてのコメント(流れの不安定性と乱流の構造)

  大木谷 耕司

  数理解析研究所講究録, May 1990

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• Helicity Ditribution and Vortex Strctures in Turbulence

  Kida Shigeo; Murakami Youichi; Yamada Michio; Ohkitani Koji

  年会講演予稿集, 16 Mar. 1990

  
• Vortex formation in 2D shear flow turbulence

  Toh Sadayoshi; Ohkitani Koji; Yamada Michio

  年会講演予稿集, 16 Mar. 1990

  
• 乱流のwavelet spectrum(カオスとその周辺,研究会報告)

  山田 道夫; 大木谷 耕司

  物性研究, 1990

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• 乱流のカオティックカスケードモデル (統計数理研究所 研究活動 (研究会報告 乱流の統計理論とその応用))

  山田 道夫; 大木谷 耕司

  統計数理 = Proceedings of the Institute of Statistical Mathematics, Dec. 1989

  
• 4p-ZD-8 Cascade Process and Coherent Structures in Two-Dimensional Turbulence

  Ohkitani Koji

  秋の分科会講演予稿集, 12 Sep. 1989

  
• 乱流モデルにおけるenergy transfer(基研長期研究会「カオスとその周辺」,研究会報告)

  大木谷 耕司; 山田 道夫

  物性研究, 1989

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• 2次元非粘性流体中の一様渦度領域間の界面(Navier-Stokes方程式の解の動的構造)

  大木谷 耕司

  数理解析研究所講究録, Jan. 1989

  Access this misc :

  
• 4a-D4-13 乱流モデルにおけるカスケード過程の時間的間欠性

  大木谷 耕司; 山田 道夫

  秋の分科会講演予稿集, 16 Sep. 1988

  
• ナビエストークス流のカオス化(乱れの3次元化とカオス)

  木田 重雄; 山田 道夫; 大木谷 耕司

  数理解析研究所講究録, Jul. 1988

  Access this misc :

  
• 乱流のカスケード過程のカオティックモデル(流れの不安定性と乱流)

  山田 道夫; 大木谷 耕司

  数理解析研究所講究録, Jun. 1988

  Access this misc :

  
• 2次元乱流は"乱流"か?(乱流場の特異性と統計理論 II)

  木田 重雄; 山田 道夫; 大木谷 耕司

  数理解析研究所講究録, Apr. 1988

  Access this misc :

  
• 乱流への路(Navier-Stokes方程式の解の動的構造)

  木田 重雄; 山田 道夫; 大木谷 耕司

  数理解析研究所講究録, Jan. 1988

  Access this misc :

  
• 28a-V-4 カスケード過程のカオティック・モデル

  山田 道夫; 大木谷 耕司

  秋の分科会講演予稿集, 16 Sep. 1987

  
• 28a-V-3 ナビス・ストークス流のカオス化

  木田 重雄; 山田 道夫; 大木谷 耕司

  秋の分科会講演予稿集, 16 Sep. 1987

  
• 2次元乱流の数値シミュレーション(乱流場の特異性と統計理論)

  木田 重雄; 山田 道夫; 大木谷 耕司

  数理解析研究所講究録, Feb. 1987

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• 30p-RA-4 2次元乱流の数値シミュレーション II

  木田 重雄; 山田 道夫; 大木谷 耕司

  秋の分科会講演予稿集, 12 Sep. 1986

  
• Quasi-invariance for the Navier-Stokes equations

  Koji Ohkitani

  LMS Lecture Notes Series 452, 2018, Peer-reviewed, Invited

  
• 統計流体力学のレビュー (偏微分方程式の背後にある確率過程と解の族が示す統計力学的な現象の解析)

  大木谷 耕司

  数理解析研究所講究録, Jan. 2013

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• Numerical study on the asymptotic equation for the deformation of vortex lattice

  Koji Ohkitani; Fayeza Al Sulti

  Procedia IUTAM 7, 2013, Peer-reviewed

  
• Eulerian-Lagrangian analysis of Navier-Stokes turbulence"

  Koji Ohkitani; Peter Constantin

  Mechanics of 21st Century-ICTAM04 Proceedings, Aug. 2004, Invited

  
• Evidence for singularity formation in a class of stretched solutions of the equations for ideal MHD

  J. D. Gibbon; K. Ohkitani

  Fluid Mechanics and Its Applications, 2002, Peer-reviewed, Invited

  
• Blow-up problems modeled from the strain-vorticity dynamics

  Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physicss, 2002

  
• Comparison between the boussinesq and euler equations in two Jimension

  Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics, 2002

  
• An ODE approach for the enstrophy of a class of 3D Euler flows

  Isaac Newton Institute Series, Intermitttency in Turbulent Flows and other Dynamical Systems, 1999

  
• Stretching of vorticity and passive vectors in turbulence

  K Ohkitani

  ADVANCES IN TURBULENCE VII, 1998

  
• Time evolution of the enstrophy of a class of three-dimensional Euler flows : the Taylor-Green vortex

  OHKITANI K.

  J. Fluid Mech., 1997

  
• 1a-A-2 Approximation of the Enstrophy of the Taylor-Green Vortex

  OHKITANI Koji

  Abstracts of the meeting of the Physical Society of Japan. Annual meeting, 15 Mar. 1996

  
• 1p-A-4 Turbulence and Chaos in a Shell Model

  YAMADA Michio; OHKITANI Koji

  Abstracts of the meeting of the Physical Society of Japan. Annual meeting, 15 Mar. 1996

  
• Some Mathematical Aspects in 2D Vortex Dynamics

  Koji Ohkitani

  eries Number 38: Proceedings of miniconference of partial differential equations, 1995, Invited, Lead author

  
• 29a-SD-7 On the Log-Corrections in Two-Dimensional Turbulence

  Ohkitani Koji

  年会講演予稿集, 28 Mar. 1989

  
• 31a-F1-12 乱流への遷移過程(応用数学・力学・流体物理)

  木田 重雄; 山田 道夫; 大木谷 耕司

  年会講演予稿集, 31 Mar. 1988

  
• 31p-F1-6 乱流モデルにおける不安定軌道の幾何学(応用数学・力学・流体物理)

  大木谷 耕司; 山田 道夫

  年会講演予稿集, 31 Mar. 1988

  
• 28p-CA-7 2次元乱流の軌道不安定性(応用数学・力学・流体物理)

  木田 重雄; 山田 道夫; 大木谷 耕司

  年会講演予稿集, 27 Mar. 1987

  
• 30p-CI-13 2次元乱流の数値シミュレーション(応用数学・力学・流体物理)

  木田 重雄; 山田 道夫; 大木谷 耕司

  年会講演予稿集, 29 Mar. 1986

  

Works

• ナビエーストークス方程式に関する共同研究

  From 2003

  
• Joint research on the Navier-Stokes equations

  From 2003

  
• オイラー方程式の解の爆発に関する共同研究

  From 2002

  
• Joint research on blow-up of the Euler equations

  From 2002

  
• ナビエーストークス方程式の解の爆発に関する共同研究

  From 2001

  
• Joint Research on blow-up of the Navier-Stokes equations

  From 2001

  
• 理想磁気流体力学方程式の解の爆発に関する共同研究

  From 2000

  
• Joint Research on blow-up of the ideal MHD equations

  From 2000

  
• オイラー方程式の解の爆発に関する共同研究

  From 1999

  
• Joint Research on blow-up of the Euler equations

  From 1999

  

External funds: Kakenhi

• Numerical study of Navier-Stokes turbulence in the whole space

  Grant-in-Aid for Research Activity Start-up

  0201:Algebra, geometry, analysis, applied mathematics,and related fields

  Kyoto University

  Koji Ohkitani

  From 30 Aug. 2021, To 31 Mar. 2023, Project Closed

  乱流;周期境界条件;全空間;渦の融合;対流項の役割;自己相似解;渦融合;亜粘性散逸項;Navier-Stokes方程式;流体乱流;直接数値計算

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21K20322/
• 流体力学の理論的問題に対する新しい数値的アプローチ

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  大木谷 耕司

  From 01 Apr. 2006, To 31 Mar. 2007, Project Closed

  Euler方程式;Clebschポテンシャル;高対称流;特異点;解の爆発

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18340026/
• A Study of Blow-up Problems and Singular Perturbation Problems arisingin Mathematical Fluid Mechanics

  Grant-in-Aid for Scientific Research (A)

  Kyoto University

  Hisashi OKAMOTO

  From 01 Apr. 2005, To 31 Mar. 2008, Project Closed

  Navier-Stokes equations;vortex dynamics;blow-up;double exponential transform;fluid mechanics;singular perturbation;point vortex;Navier-Stokes方程式;渦糸;水面波;分岐理論;高速フーリエ変換;数値積分;差分法;Proudman-Johnson方程式, Navier-Stokes equations;vortex dynamics;blow-up;double exponential transform;fluid mechanics;singular perturbation;point vortex

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17204008/
• Numerical studies on the regularity properties of the fluid dynamical equations

  Grant-in-Aid for Scientific Research (C)

  KYOTO UNIVERSITY

  Koji OHKITANI

  From 01 Apr. 2004, To 31 Mar. 2006, Project Closed

  Navier-Stokes方程式;解の正則性;磁気流体力学方程式;Euler-Lagrange定式化;磁気リコネンクション;乱流;オイラーラグランジュ定式化;特異点;特異摂動, Navier-Stokes equations;regularity of solutions;megneto-hydrodynamics;Euler-Lagrange formalism;magnetic reconnection

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16540103/
• Flow patterns governed by fluid equation in earth sciences-numerical study from view points of dynamical systems-

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Michio YAMADA

  From 01 Apr. 2004, To 31 Mar. 2008, Project Closed

  回転流体力学;ベータ面近似;地球流体力学;ロスビー波;周極ジェット;不安定周期軌道;角運動量輸送;カオス;西岸強化流;回転乱流;周極流, rotating fluid dynamics;beta-plane approximation;geophysical fluid dynamics;Rossby waves;circumpolar jets;unstable periodic orbits;angular momentum transfer;chaos

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16340023/
• 相空間の不安定周期軌道による乱流解析

  Grant-in-Aid for Exploratory Research

  Kyoto University

  山田 道夫

  From 01 Apr. 2003, To 31 Mar. 2006, Project Closed

  不安定周期軌道;カオス;乱流;軌道平均;リヤプノフスペクトル;アトラクター;間欠性;乱流統計;Rossby波;Navier-Stokes流;回転流体;西岸強化流;Hopf分岐;準周期流;流体力学;力学系;統計性質;軌道不安定性;周期解

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15654051/
• Numerical study on the fluid dynamical equations on the basis of the Eulerian-Lagrangian formalism

  Grant-in-Aid for Scientific Research (C)

  KYOTO UNIVERSITY

  Koji OHKITANI

  From 01 Apr. 2002, To 31 Mar. 2004, Project Closed

  ナビエストークス方程式;オイラー方程式;乱流;オイラーラグランジュ定式化;特異点;特異摂動;ナビエトークス方程式;渦のつなぎ替え, Navier-Stokes equations;Euler equations;turbulence;Eulerian-Lagrangian fomalism;singularity;singular perturbation

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14540203/
• Applications of the dynamical systems theory and the singularity theory to mathematical fluid mechanics

  Grant-in-Aid for Scientific Research (A)

  Kyoto University

  Hisashi OKAMOTO

  From 01 Apr. 2002, To 31 Mar. 2005, Project Closed

  ナビエ・ストークス方程式;オイラー方程式;力学系;特異点;渦層;粒子の軌跡;反応拡散系;パルス解, Navier-Stokes equations;Euler equations;dynamical systems;singularity;vortex sheet;trajectories of fluid particles;reaction-diffusion system;pulse solutions

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14204007/
• Flow Pattern Formation in Turbulence on a Rotating Sphere.

  Grant-in-Aid for Scientific Research (B)

  KYOTO UNIVERSITY;The University of Tokyo

  Michio YAMADA

  From 01 Apr. 2001, To 31 Mar. 2004, Project Closed

  回転流体;地球流体力学;周極流;Rossby波;波と平均流の相互作用;回転乱流;西岸強化流;湿潤対流;流体方程式;地球流体;barotropic流;回転球面;ベータ効果;barotroic流;Rosbby波;球面;2次元乱流;ナビエストークス方程式;円領域;ロスビー波;角運動量輸送, rotating fluid;geophysical fluid dynamics;circumpolar flow;Rossby wave;wave-mean flow interaction;rotating turbulence;westward intensification;moist convection

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13440121/
• Data-Adapted Wavelets for Analysis of Observational Data

  Grant-in-Aid for Scientific Research (B)

  KYOTO UNIVERSITY;The University of Tokyo

  Michio YAMADA

  From 01 Apr. 2000, To 31 Mar. 2004, Project Closed

  ウェーブレット変換;直行ウェーブレット;双直行ウェーブレット;シンボル関数;変分問題;拘束条件;地震波;エントロピー;双直交ウェーブレット;地震波形;離散ウェーブレット;メイヤーウェーブレット;ドブシーウェーブレット;直交ウェーブレット;応答スペクトル;模擬地震波;ウェーブレット解析;離散ウェーブレット変換;データ解析;時系列解析;時間周波数解析;応用スペクトル解析;データ処理;数値計算, wavelet transformation;orthogonal wavelets;biorthogonal wavelets;symbol functions;variational problem;constraints;seismic wave;entropy

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12554003/
• Studies on singular perturbation problems in nonlinear mechanics

  Grant-in-Aid for Scientific Research (A)

  KYOTO UNIVERSITY

  Hisashi OKAMOTO

  From 01 Apr. 1999, To 31 Mar. 2002, Project Closed

  特異点;解の爆発;内部遷移層;自己相似解;解の分岐;力学系;周期解;Navier-Stokes方程式;ナビエストークス方程式;ボルツマン方程式;衝撃波;KdV方程式;水面波;渦力学;反応拡散系, singularity;blow-up of solutions;interior layer;self-similar solution;bifurcation;dynamical system;periodic solution;Navier-Stokes equations!

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11304005/
• Researches on singularities arising in flows and waves

  Grant-in-Aid for Scientific Research on Priority Areas (B)

  Science and Engineering

  Kyoto University

  Takaaki NISHIDA

  From 01 Apr. 1999, To 31 Mar. 2002, Project Closed

  非線形偏微分方程式;Navier-Stokes方程式;熱対流問題;液膜流;分岐問題;内部遷移層;非線形波動;計算機援用証明法;Boussinesq方程式;特異性;浅水波;乱流;Faraday wave;渦および乱流における特異性;波動における特異性;解空間の大域的構造, Nonlinear Partial Differential Equation;Navier-Stokes Equation;Heat Convection Problem;Thin Layer Flow;Bifurcation Problem;Interior Transition Layer;Nonlinear Wave;Computer Assisted Proof

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11214204/
• コンパクトサポートをもつ渦の動力学と幾何学的構造診断の数値解析的研究

  Grant-in-Aid for Encouragement of Young Scientists (A)

  Kyoto University

  大木谷 耕司

  From 01 Apr. 1997, To 31 Mar. 1999, Project Closed

  一様等方性乱流;渦度伸長;アラインメント;パッシブベクター;乱流;渦構造;非線形性の逓減

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09740335/
• On the research and development of fast solvers arising in scientific computation

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Hisashi OKAMOTO

  From 01 Apr. 1997, To 31 Mar. 1999, Project Closed

  渦法の高速算法;代用電荷法;スペクトル法;多倍長計算;非適切問題;薄層要素法;ウェーブレット;保存型差分法;渦法;逆問題;精度保証計算;領域分割法, Fast summation method;fundamental solution method;spectral method;high precision computation;ill-posed problem;thin layer element method;wavelet;finite difference method

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09554003/
• Mathematical Open Problems of the Navier-Stokes Equations

  Grant-in-Aid for Scientific Research (A)

  KYOTO UNIVERSITY

  Hisashi OKAMOTO

  From 01 Apr. 1997, To 31 Mar. 1999, Project Closed

  渦層の高速計算;Kolmogorov流;Burgers方程式;渦点の運動;内部遷移層;水面波の分岐;熱対流;解の特異点;Navier-Stokes方程式;水面波;領域分割法;渦構造;スペクトル法;Euler方程式;乱流;平行計算, Fast summation method for the vortex method;Kolmogorov flow;the Burgers equation;point vortex;internal iayer;bifurcation of surface wave;thermal convection;singularity of solutions

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09304023/
• 微分方程式の解の漸近的性質

  Grant-in-Aid for Scientific Research (C)

  Hiroshima University

  柴田 徹太郎

  From 01 Apr. 1996, To 31 Mar. 1997, Project Closed

  固有値;非線形;楕円型

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08640206/
• Mathematical problems related to quantum chaos

  Grant-in-Aid for Scientific Research (B)

  KYOTO UNIVERSITY

  Yoichiro TAKAHASHI

  From 01 Apr. 1996, To 31 Mar. 1997, Project Closed

  ランダム行列;カオス;流体力学的極限;漸近理論;特異摂動;固有値分布;点過程;古典量子対応, random matrix;chaos;hydrodynamical limit;asymptotic theory;singular perturbation;eigenvalue distirbution;point process;classical quantum correspondence

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08454042/
• Singular behaviors of two-dimensional numerical turbulence and chaos in a shell model.

  Grant-in-Aid for Scientific Research (C)

  University of Tokyo

  Michio YAMADA

  From 01 Apr. 1995, To 31 Mar. 1997, Project Closed

  準地衡風近似;非粘性方程式;解の発散;シェルモデル;カオス;リヤプノフ数;コルモゴロフ相似則;高次元アトラクタ;非常粘性方程式;2次元乱流;特異性;非粘性流, Ouasi-geostrophic approximations;Inviscid equation;Solution blow up;Shell model;Chaos;Lypapunov spectrum;Kolmogorov similarity law;High-dimensional attractor

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07832004/
• 擬等角写像の境界挙動に関する研究

  Grant-in-Aid for General Scientific Research (C)

  Hiroshima University

  水田 義弘

  From 01 Apr. 1995, To 31 Mar. 1996, Project Closed

  ファトウの定理;擬等角写像;調和関数;容量;ソボレフ関数

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07640216/
• C^3のMoishezonコンパクト化について

  Grant-in-Aid for General Scientific Research (C)

  Hiroshima University

  古島 幹雄

  From 01 Apr. 1995, To 31 Mar. 1996, Project Closed

  コンパクト化;Fano threefold;Moishezon空間

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07640048/
• Studies on mathematical analysis and numerical computation of the Nevier-Stokes equations

  Grant-in-Aid for Scientific Research (A)

  KYOTO UNIVERSITY

  Hisashi OKAMOTO

  From 01 Apr. 1995, To 31 Mar. 1997, Project Closed

  流体方程式;特異摂動;渦運動;乱流;遷移層;数値積分;水面波;分岐理論;流体力学;数値解析;モデリング;渦法;反応拡散系, equations of fluid motion;singular perturbation;vortex motion;turbulence;internal layr;numerical quadrature;water wave;bifurcation theory

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07304019/
• 流体現象数値解析の理論と計算

  Grant-in-Aid for General Scientific Research (C)

  Hiroshima University

  田端 正久

  From 01 Apr. 1994, To 31 Mar. 1995, Project Closed

  Navier-Stokes方程式;軸対称問題;有限要素解析;鞍点型変分原理;安定化有限要素法;高Reynolds数流れ;風上型近似;ベクトル計算機

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06640294/
• 非線形現象と微分方程式

  Grant-in-Aid for General Scientific Research (C)

  Hiroshima University

  吉田 清

  From 01 Apr. 1994, To 31 Mar. 1996, Project Closed

  楕円型微分方程式;ボルテラ型ダイナミックス;振動解;凝固問題;特異スペクトル法;渦度方程式;constantin-Lax-Majdu方程式;フラクタル

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06640242/
• 乱流の素過程と渦構造の形成

  Grant-in-Aid for Scientific Research on Priority Areas

  Kyoto University

  藤 定義

  From 01 Apr. 1994, To 31 Mar. 1995, Project Closed

  乱流;壁乱流;ミニマル流;渦構造;ウェーブレット;コンスタンチン・ラックス・マイ-ダモデル;有限時間発散

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06231210/
• Study of high-dimensional attractors with scaling properties

  Grant-in-Aid for General Scientific Research (C)

  University of Tokyo

  Michio YAMADA

  From 01 Apr. 1993, To 31 Mar. 1995, Project Closed

  乱流;カオス;リヤプノフ解析;シェルモデル;連店先分布関数;ストレンジアトラクター;高次元カオス;スケーリング則;確率密度分布関数, turbulence;chaos;Lyapunov analysis;shell model;velocity increment

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-05836007/
• 乱流の素過程と渦構造の形成

  Grant-in-Aid for Scientific Research on Priority Areas

  Kyoto University

  大木谷 耕司

  From 01 Apr. 1993, To 31 Mar. 1994, Project Closed

  一様等方性乱流;渦管-渦層遷移;非局所性;ポアゾイユ流;運動量輸送;曲り管内流;曲率の影響

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-05240211/
• Statistical Law and Energy Transfer Mechanism in Turbulence

  Grant-in-Aid for General Scientific Research (B)

  KYOTO UNIVERSITY

  Shigeo KIDA

  From 01 Apr. 1991, To 31 Mar. 1994, Project Closed

  乱流;エネルギー伝達;剪断乱流;渦構造;熱対流;ダイナモ;圧縮性乱流;ウェーブレット解析;統計;エネルギ-;数値シミュレ-ション;間欠性, turbulence;energy transfer;turbulent shear flow;vortical structure;thermal convection;dynamo;compressible turbulence

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-03452053/
• Generalized incompressible fluid dynamics - the Navier-Stokes and Burgers equations

  Grant-in-Aid for Scientific Research (C)

  Basic Section 12040:Applied mathematics and statistics-related

  Kyoto University

  大木谷 耕司

  From 01 Apr. 2022, To 31 Mar. 2026, Granted

  非圧縮性流体;可積分系;熱方程式;自己相似解;対流項の役割;非圧縮性流体力学;Navier-Stokes方程式;Burgers方程式;擬可積分系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22K03434/

Education

Teaching subject(s)

• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Nonlinear Dynamics d

  1300, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Nonlinear Dynamics c

  1299, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Mathematical Fluid Mechanics c

  1271, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Mathematical Fluid Mechanics b

  1270, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Mathematical Fluid Mechanics a

  1269, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Nonlinear Dynamics b

  1298, Fall, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Nonlinear Dynamics a

  1297, Spring, Graduate School of Science, 3
• From 01 Apr. 2024, To 31 Mar. 2025

  Seminar on Mathematical Fluid Mechanics d

  1272, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Invitation to Modern Mathematics and Mathematical Sciences

  N114, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Continuum Mechanics d

  1302, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Continuum Mechanics b

  1301, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Nonlinear Dynamics d

  1300, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Nonlinear Dynamics c

  1299, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Mathematical Fluid Mechanics c

  1271, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Mathematical Fluid Mechanics b

  1270, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Mathematical Fluid Mechanics a

  1269, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Nonlinear Dynamics b

  1298, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Nonlinear Dynamics a

  1297, Spring, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Mathematical Fluid Mechanics d

  1272, Fall, Graduate School of Science, 3
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Statistical Physics and Dynamics D

  2118, Fall, Graduate School of Science, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Statistical Physics and Dynamics C

  2117, Spring, Graduate School of Science, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Statistical Physics and Dynamics B

  2116, Fall, Graduate School of Science, 2
• From 01 Apr. 2023, To 31 Mar. 2024

  Seminar on Statistical Physics and Dynamics A

  2115, Spring, Graduate School of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Nonlinear Dynamics d

  1300, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Mathematical Fluid Mechanics c

  1271, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Fluid Physics A

  2023, Spring, Graduate School of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Nonlinear Dynamics c

  1299, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Continuum Mechanics d

  1302, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Continuum Mechanics b

  1301, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Nonlinear Dynamics a

  1297, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Mathematical Fluid Mechanics d

  1272, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Mathematical Fluid Mechanics a

  1269, Spring, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Fluid Physics B

  2024, Fall, Graduate School of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Mathematical Fluid Mechanics b

  1270, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Fluid Physics D

  2026, Fall, Graduate School of Science, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Nonlinear Dynamics b

  1298, Fall, Graduate School of Science, 3
• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar on Fluid Physics C

  2025, Spring, Graduate School of Science, 2
• From Apr. 2021, To Mar. 2022

  Seminar on Nonlinear Dynamics d

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Nonlinear Dynamics c

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Nonlinear Dynamics b

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Nonlinear Dynamics a

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Continuum Mechanics d

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Continuum Mechanics b

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Fluid Physics D

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Fluid Physics C

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Fluid Physics B

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Fluid Physics A

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Mathematical Fluid Mechanics d

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Mathematical Fluid Mechanics c

  Spring, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Mathematical Fluid Mechanics b

  Fall, 理学研究科
• From Apr. 2021, To Mar. 2022

  Seminar on Mathematical Fluid Mechanics a

  Spring, 理学研究科

Participation in PhD Defense

• Convergence of processes time-changed by Gaussian multiplicative chaos

  OOI TAKUMU, Graduate School of Science, Sub-chief Examiner

  25 Mar. 2024
• Embedded contact homology and its applications to3-dimensional Reeb flows

  SHIBATA TAISUKE, Graduate School of Science, Sub-chief Examiner

  25 Mar. 2024
• Algebraic effects and handlers for arrows

  SANADA TAKAHIRO, Graduate School of Science, Sub-chief Examiner

  25 Mar. 2024
• Algebraic effects and handlers for arrows

  SANADA TAKAHIRO, Graduate School of Science, Sub-chief Examiner

  25 Mar. 2024
• Local operators in topos theory and separation of semi-classical axioms in intuitionistic arithmetic

  NAKATA SATOSHI, Graduate School of Science, Sub-chief Examiner

  25 Mar. 2024
• Category-theoretic Reconstruction of Log Schemes from Categories of Reduced fs Log Schemes

  YUJI TOMOKI, Graduate School of Science, Sub-chief Examiner

  25 Mar. 2024
• Modeling Approach to Transient Behaviors in Miscible Fluids with Two Layers

  ISHIKAWA TOSHIO, Graduate School of Science, Chief Examiner

  23 Mar. 2023

Administration

School management (title, position)

• From 01 Apr. 2025, To 31 Mar. 2026

  大学院教育支援機構協議会 協議員
• From 01 Apr. 2025, To 31 Mar. 2026

  国際高等教育院教養・共通教育協議会 協議員
• From 01 Oct. 2024, To 30 Sep. 2026

  基金運営委員会 委員
• From 01 Apr. 2024, To 31 Mar. 2026

  数理解析研究所 所長
• From 01 Apr. 2024, To 31 Mar. 2026

  教育研究評議会 評議員
• From 01 Apr. 2024, To 31 Mar. 2026

  部局長会議
• From 01 Apr. 2024, To 31 Mar. 2025

  環境安全保健委員会 委員
• From 01 Apr. 2024

  研究公正委員会 委員
• From 01 Apr. 2024, To 31 Mar. 2025

  全学情報セキュリティ委員会 委員
• From 01 Apr. 2022, To 31 Mar. 2024

  京都大学学際融合教育研究推進センタースーパーグローバルコース数学系ユニット構成員

Faculty management (title, position)

• From 01 Apr. 2024, To 31 Mar. 2026

  基礎物理学研究所協議員会　協議員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学研究科数学・数理解析専攻連絡会構成員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学研究科会議構成員
• From 01 Apr. 2023, To 31 Mar. 2024

  理学研究科数学・数理解析専攻数理解析系主任
• From 01 Apr. 2023, To 31 Mar. 2024

  理学研究科大学院教育教務委員会委員
• From 01 Apr. 2022, To 31 Mar. 2023

  数理解析研究所副所長