Research field (1)：
Applied mathematics and statistics
Research theme for competitive and other funds (56)：
2022 - 2026 Studies on the Navier-Stokes equations by numerical methods
2018 - 2022 非圧縮流体の力学的諸問題の数理的研究
2016 - 2020 Optimal Operation of Irrigation Schemes Based on Viscosity Solutions of Partial Differential Equations
2015 - 2020 Mathematical study of micro pressure waves for developments in modern high-speed trains
2013 - 2018 Study of the dynamics and anisotropy of flow structures in turbulence by large scale numerical analysis
2012 - 2017 Spontaneous flow pattern formation in fluids --- singularity and large scale flow phenomena
2012 - 2017 Applied analysis of equations of incompressible fluid motions
2011 - 2016 Concentration Phenomena and Structure of Solution for Nonlinear Evolution Equations
2008 - 2011 Flow pattern formation in a geophysical thermal convection system
2008 - 2011 Applied Analysis on the Navier-Stokes Equations and Related Dynamical Systems
2007 - 2009 Foundation of high accuracy computational methods on the multiple-precision computer environment and its applications to analysi of inverse problems
2005 - 2008 Study of Global Bifurcations of Dynamical Systems for Understandings of Chaos and Systems with Large Degrees of Freedom
2005 - 2007 A Study of Blow-up Problems and Singular Perturbation Problems arisingin Mathematical Fluid Mechanics
2004 - 2007 Flow patterns governed by fluid equation in earth sciences-numerical study from view points of dynamical systems-
2002 - 2004 Bifurcation theoretical approach to chaotic dynamics and to systems with large degrees of freedom
2002 - 2004 Applied Analysis for Nonlinear Systems
2002 - 2004 Applications of the dynamical systems theory and the singularity theory to mathematical fluid mechanics
2001 - 2003 Flow Pattern Formation in Turbulence on a Rotating Sphere.
2000 - 2003 Data-Adapted Wavelets for Analysis of Observational Data
2000 - 2002 Global structure of dynamical systems and their bifurcations
1999 - 2001 Application of the double exponential transform to integral transformations
1999 - 2001 Studies on singular perturbation problems in nonlinear mechanics
1999 - 2001 Researches on singularities arising in flows and waves
1998 - 2000 Comprehensive Research Toward the Global Theory for the System of Nonlinear Partial Differential Equations
1997 - 1999 Systems Analysis by Valuated Matroids
1997 - 1999 Numerical analysis of the chaotic bahavior of the free boundary
1997 - 1998 Studies on global bifurcations for dynamical systems
1997 - 1998 On the research and development of fast solvers arising in scientific computation
1997 - 1998 Mathematical Open Problems of the Navier-Stokes Equations
1996 - 1998 Theory of singular perturbations
1997 - 1997 数値数学の日中研究集会のための企画調査研究
1997 - 1997 渦法を用いた流れの特異点の研究
1995 - 1997 非線形複雑系の3次元数値計算
1996 - 1996 Mathematical problems related to quantum chaos
1996 - 1996 Mathematical analysis and numerical computation of nonlinear partial differential equations
1995 - 1996 Co-operative Research on Numerical Solutions in Seience and Technology
1995 - 1996 Studies on mathematical analysis and numerical computation of the Nevier-Stokes equations
1995 - 1996 Integrated Studies towards New Development in Mathematical Sciences
1995 - 1995 分岐の数値解析における精度保証の研究
1995 - 1995 非線形特異摂動現象の数学解析と数値計算
1994 - 1995 Co-operative Research on the Mathematical Analysis of Large Scientific Computation
1993 - 1995 Co-operative Research of General Purpose FORTRAN Graphic Software System for Scientific Computation
1993 - 1995 Analysis and Computation of Nonlinear Structures
1994 - 1994 組合せ理論と群表現論に基づく大規模システムの構造解析手法の研究
1994 - 1994 非線型現象に現れる特異性の解明
1992 - 1994 Comprehensive Study on Fundamental and Applied Numerical Algorithms
1993 - 1993 表面張力波の分岐と特異性の研究
1993 - 1993 組合せ理論と群表現論に基づく大規模システムの構造解析手法の研究
1991 - 1993 Statistical Law and Energy Transfer Mechanism in Turbulence
1992 - 1992 自然科学に現われる非線形現象の解明の総合的研究
1991 - 1992 Synthetical Researches on Applied Analysis and Computational Mathematics
1990 - 1991 Co-Operative Research of Numerical Analysis of Nonlinear Problems
1989 - 1989 微分方程式の変換群の研究
1988 - 1988 物理学に現れる大偏差問題の研究
1988 - 1988 数理物理学におけるスペクトル散乱問題の研究
1982 - 1982 流体力学, 特に流れの安定性の数学的研究
Show all
Papers (127)：
Sun-Chul Kim, Hisashi Okamoto. Stationary flows with highly localized vorticity of the incompressible viscous fluid at large Reynolds numbers. Applied Mathematics Letters. 2023. 137. 108500-108500
Akitoshi Takayasu, Jean-Philippe Lessard, Jonathan Jaquette, Hisashi Okamoto. Rigorous numerics for nonlinear heat equations in the complex plane of time. Numerische Mathematik. 2022. 151. 3. 693-750
Sovanna Mean, Koichi Unami, Hisashi Okamoto, Masayuki Fujihara. A thorough description of one-dimensional steady open channel flows using the notion of viscosity solution. Applied Mathematics and Computation. 2022. 415. 126730-126730
Mayumi Shōji, Hisashi Okamoto. Stationary water waves on rotational flows of two vortical layers. Japan Journal of Industrial and Applied Mathematics. 2021. 38. 1. 79-103
Sun-Chul Kim, Hisashi Okamoto. Prandtl-Batchelor Theory for Kolmogorov Flows. Journal of the Physical Society of Japan. 2020. 89. 11. 114401-114401
An application of interval arithmetic to certain dynamical systems arising in fluid mechanics
(The 9th International Conference on Computational Physics 2015)
Unimodal patterns appearing in the Kolmogorov flows at large Reynolds numbers
(Colloquium 2014)
Topologically simple patterns appearing in the 2D Navier-Stokes equations at large Reynolds numbers
(The 8th CREST-SBM International Conference International Conference on Mathematical Fluid Dynamics 2014)
Trajectories of fluid particles around spheres and in a water wave
(Theory of Water Waves 2014)
Unimodal Patterns appearing in the 2D Navier-Stokes equations at large Reynolds numbers
(Conference of East Asia Section of SIAM 2014)
2014/03 - The Mathematical Society of Japan JMSJ Outstanding Paper Prize
2002/02 - Inoue Science Foundation Inoue Science Award
1997/09 - 日本応用数理学会 日本応用数理学会論文賞JJIAM部門
Association Membership(s) (4)：
society for industrial and applied mathematics
, THE JAPAN SOCIETY OF FLUID MECHANICS
, THE JAPAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
, THE MATHEMATICAL SOCIETY OF JAPAN
