Rchr
J-GLOBAL ID：200901046347639336
Update date: Mar. 24, 2024
Yanagisawa Taku
ヤナギサワ タク | Yanagisawa Taku
Affiliation and department：
Job title：
Professor
Other affiliations (3)：
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Nara Women's University
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Nara Women's University
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Nara Women's University
Research field (1)：
Basic analysis
Research keywords (3)：
Fluid Dynamics
, Functional Analysis
, Nonlinear partial differential equations
Research theme for competitive and other funds (25)：
- 2022 - 2025 分解定理に基づく流体および電磁気学に現れる境界値問題に対する新たな解析手法の展開
- 2019 - 2023 Modern Mathematical Analysis for the Fluid Dynamics
- 2019 - 2019 幼小一貫した資質・能力を育成する「育ちの履歴カリキュラム」に関わる研究
- 2015 - 2018 Studies on mathematical structure of boundary value problems appearing in hydrodynamics and magnetohydrodynamics
- 2012 - 2015 The development of the unified analytical method to hydrodynamical and electromagnetic phenomena based on decomposition theorems
- 2012 - 2015 Dynamical feature of mathematically obtained m-point blow-up solution in mean field equation for two-dimensional point vortex system
- 2011 - 2015 Large time behaviors of solutions of nonlinear conservation laws with dissipative structures of energy
- 2009 - 2011 Clarification of the mathematical structure of fluid-dynamical and electromagnetic phenomena depending on topological properties of the domain.
- 2007 - 2010 Time global structure of solutions of nonlinear conservation law with viscosity and relaxation
- 2003 - 2007 United theory of existence of global solution and its asymptotic behavior to the nonlinear partial differential equations
- 2001 - 2003 Boundary value problems for hyperbolic systems from fluid-mechanics and electromagnetics arising as the limit of singular perturbation
- 1999 - 2001 Analysis of singular perturbations of the Navier-Stokes equations
- 1999 - 2000 特異摂動極限として流体及び電磁気学に現れる双曲系境界値問題
- 1997 - 1999 CHARACTERISTIC BOUNDARY VALUE PROBLEM FOR LINEAR AND NONLINEAR SYMMETRIC HYPERBOLIC SYSTEMS
- 1996 - 1996 流体力学にあらわれる対称双曲系の特性的境界値問題
- 1995 - 1995 退化双曲型方程式の初期境界値問題
- 1995 - 1995 流体及び電磁流体力学にあらわれる対称双曲系の特性的境界値問題
- 1994 - 1994 特異積分論とその応用
- 1993 - 1993 正値対称系に対する極大非負な境界値問題
- 1992 - 1992 線型および準線型対称双曲系の特性的境界値問題
- 1991 - 1991 フ-リェ積分作用素による特実性の位数の伝播現象の研究
- 1990 - 1990 一般位数の擬凸状域と解析集合の接続についての研究
- 1989 - 1989 磁氣流体力学に現われる準線型対称双曲系の初期境界値問題
- 1988 - 1988 完全退化型非線型双曲系の研究
- 1987 - 1988 退化した非線型発展方程式の研究
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Papers (28)：
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小薗英雄, 清水扇丈, 柳澤卓. 3次元L^r-ベクトル場に対するHelmholtz-Weyl分解. 数学. 2023. 75. 1. 1-30
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Matthias Hieber, Hideo Kozono, Anton Seyfert, Senjo Shimizu, Taku Yanagisawa. A Characterization of Harmonic L^r-Vector Fields in Three Dimensional Exterior Domains. The Journal of Geometric Analysis. 2022. 32
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Matthias Hieber, Hideo Kozono, Anton Seyfert, Senjo Shimizu, Taku Yanagisawa. L^r-Helmholtz-Weyl decomposition for three dimensional exterior domains. Journal of Functional Analysis. 2021. 281. 8. 109144-109144
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Matthias Hieber, Hideo Kozono, Anton Seyfert, Senjo Shimizu, Taku Yanagisawa. Stationary Navier-Stokes equations under inhomogeneous boundary conditions in 3D exterior domains. Calculus of Variations and Partial Differential Equations. 2021. 60. 5
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Matthias Hieber, Hideo Kozono, Anton Seyfert, Senjo Shimizu, Taku Yanagisawa. The Helmholtz-Weyl decomposition of $$L^r$$ vector fields for two dimensional exterior domains. The Journal of Geometric Analysis. 2021. 31. 5. 5146-5165
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MISC (5)：
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YANAGISAWA Taku. Boudary Value Problems for Stationary MHD Equations. 2014. 1905. 40-52
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YANAGISAWA Taku. 多重連結領域における定常Navier-Stokes方程式の境界値問題. 2011. PPM2010-10. 1-9
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YANAGISAWA Taku. Helmholtz-Weyl分解とその応用. 2010. 122-131
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YANAGISAWA Taku. On the paper "Blows Ups of Complex Solutions of the 3D Navier-Stokes Systems and RG Method" by Ya Sinai and et al. RIMS Kokyuroku. 2008. 1600. 132-146-146
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YANAGISAWA Taku. 理想磁気流体力学の方程式系の初期値境界値問題. 1990. 734. 91-105-105
Books (1)：
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Advances in Nonlinear Partial Differential Equations and Stochastics (Series on Advances in Mathematics for Applied Sciences Vol.48)
World Scientific 1998
Lectures and oral presentations (69)：
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Long-time asymptotic profiles to the n-dimensional heat equation and modified heat kernels
(2024)
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Long-time asymptotic profiles to the n-dimensional heat equation and modified heat kernels
(2024)
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n次元熱方程式の長時間漸近形
(日本数学会2023年度秋季総合分科会函数方程式論分科会 2023)
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On the spaces of harmonic L^r-vector fields over exterior domains
(Maximal regularity and nonlinear (RIMS, Kyoto) 2019)
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A geometric characterization of the space of harmonic L^r-vector fields over exterior domains
(Mathematical Fluid Mechanics and Related Topics -In honor of Professor Hideo Kozono on his 60th birthday-(Tokyo Institute of Technology, Tokyo) 2018)
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Education (3)：
- 1985 - 1986 Doctor Course of Hokkaido University Graduate School, Division of Natural Science Mathemtics
- 1983 - 1985 Hokkaido University
- 1979 - 1983 Hokkaido University Faculty of Science Department of Mathematics
Professional career (1)：
- Doctor(Science) (Hokkaido University)
Work history (8)：
- 2021/04 - 2024/03 Nara Women's University
- 2019/04 - 2021/03 Nara Women's University
- 2010/12 - Professor, Faculty of Science, Nara Women's University
- 2007/04 - 2010/11 Associate Professor, Graduate School of Humanities and SAciences, Nara Women's University
- 2003/04 - 2007/03 Associate Professor, Graduate School of Humanities and Sciences, Nara Women's University
- 1994/04 - 2003/03 Associate Professor, Faculty of Science, Nara Women's University
- 1991/07 - 1994/03 Lecturer, Faculty of Science, Nara Women's University
- 1986/10 - 1991/06 Assistant Professor, Fuculty of Science, Nara Women's University
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Committee career (1)：
- 2002/04 - 2005/03 日本数学会 岩波「数学」編集委員(非常勤)
Association Membership(s) (2)：
日本数学会
, Japan Mathematical Sociaty
