YANAGISAWA Taku 柳沢卓

… Alternative Names

柳沢卓ヤナギサワタク

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Researcher Number	30192389
Other IDs
Affiliation (Current)	2025: 奈良女子大学, 自然科学系, 教授
Affiliation (based on the past Project Information) *help	2012 – 2023: 奈良女子大学, 自然科学系, 教授 2014: 奈良女子大学, 大学院自然科学研究科, 教授 2014: 奈良女子大学, 理学部, 教授 2010 – 2011: 奈良女子大学, 理学部, 教授 2010: 奈良女子大学, 大学院・自然科学研究科, 教授 … More 2009: Nara Women's University, 大学院・人間文化研究科, 准教授 2007: 奈良女子大学, 人間文化研究科, 准教授 2007: Nara Women's University, Faculty of Science, Associate Professor 2006: 奈良女子大学, 大学院人間文化研究科, 助教授 2003: Nara Women's University, Grasuate School of Humanities and Sciences, Associate Professor, 大学院・人間文化研究科, 助教授 1994 – 2002: 奈良女子大学, 理学部, 助教授 1991 – 1993: 奈良女子大学, 理学部, 講師 1990: 奈良女子大学, 理学部, 助手 1988: 奈良女子大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Basic analysis / Basic analysis / 解析学 / Basic Section 12020:Mathematical analysis-related / Mathematical analysis Except Principal Investigator 解析学 / Global analysis / Medium-sized Section 12:Analysis, applied mathematics, and related fields / Basic analysis / Global analysis / Mathematical physics/Fundamental condensed matter physics
Keywords	Principal Investigator 境界値問題 / Navier-Stokes方程式 / MHD方程式 / ナビエ・ストークス方程式 / 流体力学 / 調和ベクトル場 / 非粘性極限 / MHD / 分解定理 / 磁気流体力学方程式 … More / Hodge分解 / プラントール方程式 / 特異摂動 / 境界層 / 渦度 / 磁気流体力学 / 対称双曲系 / Helmholtz-Weyl分解定理 / 位相的不変量 / Helmholtz-Weyl分解 / 修正熱核 / weak Dirichlet問題 / Helmholtz分解 / 自由境界問題 / 定常解 / Nash-Moser型陰関数定理 / 自由境界 / 安定性 / vorticity / Prandtl equation / Navier-Stokes equations / vanishing viscosity limit / singular perturbation / 非圧縮性ナビエ・ストークス方程式 / ブラントール方程式 / 圧縮性ナビエ・ストークス方程式 / 圧縮性オイラー方程式 / 対称双曲性 / 中国 / 国際情報交換 / ホッジ分解 / 弱解 / 定常問題 / 電磁気学 / Div-Curl lemma / 関数方程式 / 境界層方程式 / 特異摂動法 / 双曲系境界値問題 / オイラー方程式 / ナビエ・スドークス方程式 / 漸近解析 / 双曲系 / マックスウェル方程式 / 非圧縮Euler方程式 / 解の存在定理 / 非等方的ソボレフ空間 / 特性的境界値問題 … More Except Principal Investigator 特性的境界値問題 / Navier-Stokes方程式 / 大域解 / 完全退化 / 粘性保存則 / 粘性衝撃波 / 定常解 / 漸近挙動 / 希薄波 / 半導体方程式 / 時間大域解 / 特異積分作用素 / 対称双曲系 / 初期境界値問題 / 流体方程式 / Navier--Stokes方程式 / 微分幾何 / 調和解析 / 実解析 / 関数解析 / 関数方程式 / Stokes operator / Non-compact boundary / Helmholtz-Weyl decomposition / Turbulent Solutions / Scaling invariance / Very weak Solutions / Leray-Hopf Class / Navier-Stokes Equations / BMO / L^p-L^q評価 / 一意性 / paraproduct formula / 双線形評価式 / Triebel-Lizorkin空間 / Littlewood-Paley分解 / BMO関数 / 渦度の方程式 / 関数空間論 / 基本解の評価 / 半群の理論 / 調和解析学 / 爆発解 / ベゾフ空間 / エネルギー不等式 / 平均振動 / 渦度ベクトル / コーシー問題 / ナビエ・ストークス方程式 / Stokes作用素 / 非コンパクト境界 / Helmholtz-Weyl分解 / 乱流解 / スケール不変空間 / 超弱解 / Leray-Hopfクラス / Blasius equation / Zero Viscosity Limit / Boundary Layer / Plandtl equations / Navier-Stokes equations / 非定常境界層方程式 / 遅れを持った非線形常微分方程式 / 粘性消滅問題 / Prandtl方程式 / Blasius方程式 / 粘性消散 / 境界層 / Plandtl方程式 / splitting of the support of solutions / nonlinear diffusion equation / regularity theorem for the solution / characteristic boundary value problem / symmetric hyperbolic system / 正則性定理 / MHDの方程式 / 微分の損失 / 非線形拡散方程式 / 特性境界値問題 / 線型双称双曲系 / サポートの分離現象 / 非線型拡散方程式 / 解の正則性定理 / 線型対称双曲系 / 解の爆発 / 局所解 / 非線型双曲型方程式 / 弾性体 / 電磁流体 / 準線型 / 双曲系 / Fokker-Planck型衝突項 / 2次元乱流 / インバースカスケード / Onsager理論 / 絶対負温度 / 2次元点渦系 / 自己組織化 / MHD方程式 / エネルギー散逸 / 粘性気体方程式 / 初期値問題 / 圧縮性オイラー方程式 / 非線形保存則 / 準周期外力系 / 粘性接触波 / 粘性気体の方程式 / オイラー・ポアソン方程式 / バーガース方程式 / 分岐現象 / アトラクター / 理想気体の方程式 / 大規模力学系 / 非線形波動方程式 / 圧縮性気体 / エネルギー法 / オイラー方程式 / 量子ドリフト-拡散方程式 / 漸近安定性 / 消散型波動方程式 / 量子流体力学モデル / 半導体 / 接触不連続解 / 漸近安定 / フォッカー・プランク・ボルツマン方程式 / ドリフト拡散モデル / 大自由度カオス / 粘性保存則系 / 解の存在と一意性 / 大自由度力学系 / 半導体の程式 / 接触不連続 / ナヴィエ・ストークス方程式 / 長時間挙動 / 保存則 / パーコレーション / Kolmogorovの問題 / Tricomi型方程式 / 適切性 / 退化双曲型 / 面積積分 / リトルウッド・ペ-リのg函数 / 特異積分 / トレース定理 / 重みつきソボレフ空間 / 線型双曲系 / 解の正則性 / エネルギー評価 / 初期値境界値問題 / 双曲型方程式系 / フレネ積分 / 分数中 / ディレクレ問題 / ノイマン問題 / 解析集合の接続 / qーplurisubharmonir function / qーpseudoconuex domain / 一般位数擬凸状凾数 / 一般位数擬凸状域 Less

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Principal Investigator
- Principal Investigator
  
  柳沢卓
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Nara Women's University
Modern Mathematical Analysis for the Fluid Dynamics
- Principal Investigator
  
  清水扇丈
- Project Period (FY)
  2018 – 2024
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
- Review Section
  
  Medium-sized Section 12:Analysis, applied mathematics, and related fields
- Research Institution
  Kyoto University
Studies on mathematical structure of boundary value problems appearing in hydrodynamics and magnetohydrodynamicsPrincipal Investigator
- Principal Investigator
  
  YANAGISAWA Taku
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Nara Women's University
The development of the unified analytical method to hydrodynamical and electromagnetic phenomena based on decomposition theoremsPrincipal Investigator
- Principal Investigator
  
  YANAGISAWA Taku
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Nara Women's University
Dynamical feature of mathematically obtained m-point blow-up solution in mean field equation for two-dimensional point vortex system
- Principal Investigator
  
  YATSUYANAGI Yuichi
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical physics/Fundamental condensed matter physics
- Research Institution
  Shizuoka University
Large time behaviors of solutions of nonlinear conservation laws with dissipative structures of energy
- Principal Investigator
  
  MATSUMURA Akitaka
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
Clarification of the mathematical structure of fluid-dynamical and electromagnetic phenomena depending on topological properties of the domain.Principal Investigator
- Principal Investigator
  
  YANAGISAWA Taku
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Nara Women's University
Time global structure of solutions of nonlinear conservation law with viscosity and relaxation
- Principal Investigator
  
  MATSUMURA Akitaka
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
United theory of existence of global solution and its asymptotic behavior to the nonlinear partial differential equations
- Principal Investigator
  
  KOZONO Hideo
- Project Period (FY)
  2003 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Boundary value problems for hyperbolic systems from fluid-mechanics and electromagnetics arising as the limit of singular perturbationPrincipal Investigator
- Principal Investigator
  
  YANAGISAWA Taku
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Nara Women's University
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Principal Investigator
- Principal Investigator
  
  柳沢卓
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Nara Women's University
Analysis of singular perturbations of the Navier-Stokes equations
- Principal Investigator
  
  MATSUI Sin'ya
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Hokkaido Information University
CHARACTERISTIC BOUNDARY VALUE PROBLEM FOR LINEAR AND NONLINEAR SYMMETRIC HYPERBOLIC SYSTEMS
- Principal Investigator
  
  SHIZUTA Yasushi
- Project Period (FY)
  1997 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  OSAKA INSTITUTE OF TECHNOLOGY
  Nara Women's University
流体力学にあらわれる対称双曲系の特性的境界値問題
- Principal Investigator
  
  静田靖
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nara Women's University
退化双曲型方程式の初期境界値問題
- Principal Investigator
  
  坂本礼子
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nara Women's University
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Principal Investigator
- Principal Investigator
  
  柳沢卓
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Nara Women's University
特異積分論とその応用
- Principal Investigator
  
  薮田公三
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nara Women's University
正値対称系に対する極大非負な境界値問題Principal Investigator
- Principal Investigator
  
  柳沢卓
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Nara Women's University
線型および準線型対称双曲系の特性的境界値問題
- Principal Investigator
  
  静田靖
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nara Women's University
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
- Principal Investigator
  
  宮武貞夫
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nara Women's University
一般位数の擬凸状域と解析集合の接続についての研究
- Principal Investigator
  
  藤田收
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nara Women's University
完全退化型非線型双曲系の研究
- Principal Investigator
  
  坂本礼子
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nara Women's University
退化した非線型発展方程式の研究
- Principal Investigator
  
  坂本礼子
- Project Period (FY)
  1987 – 1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Nara Women's University

[Journal Article] 3次元L^rベクトル場に対するHelmholtz-Weyl分解2023
- Author(s)
  小薗英雄, 清水扇丈, 柳沢卓
- Journal Title
  
  数学（日本数学会編集, 岩波書店発売）
  
  Volume: 75 (1)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18KK0072
[Journal Article] 3次元Lrベクトル場に対するHelmholtz-Weyl分解2023
- Author(s)
  小薗英雄，清水扇丈，柳澤卓
- Journal Title
  
  数学（日本数学会編集，岩波書店）
  
  Volume: 75(1) Pages: 1-30
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03375
[Journal Article] A Characterization of harmonic Lr-vector fields in three dimensional exterior domains2022
- Author(s)
  M. Hieber, H. Kozono, A. Seyfert, S. Shimizu, T. Yanagisawa
- Journal Title
  
  J. Geom. Anal.
  
  Volume: 32 Issue: 7
- DOI
  10.1007/s12220-022-00938-8
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03375, KAKENHI-PROJECT-18KK0072, KAKENHI-PROJECT-16H06339, KAKENHI-PROJECT-16H03945, KAKENHI-PROJECT-21H04433, KAKENHI-PROJECT-23K20804
[Journal Article] The Helmholtz-Weyl decomposition of Lr vector fields for two dimensional exterior domains2021
- Author(s)
  M.Hieber, H.Kozono, A.Seyfert, S.Shimizu, T.Yanagisawa
- Journal Title
  
  J. Geom. Anal.
  
  Volume: 31 Issue: 5 Pages: 5146-5165
- DOI
  10.1007/s12220-020-00473-4
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03945, KAKENHI-PROJECT-18KK0072
[Journal Article] 定常MHD方程式に対する境界値問題2014
- Author(s)
  柳澤　卓
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 1905 Pages: 40-52
- Open Access
- Data Source
  KAKENHI-PROJECT-24540173
[Journal Article] Global compensated compactness theorem for general differential operators of first order2013
- Author(s)
  Kozono, H., Yanagisawa, T.
- Journal Title
  
  Arch. Rational Mech. Anal.
  
  Volume: 207 Issue: 3 Pages: 879-905
- DOI
  10.1007/s00205-012-0583-7
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24224003, KAKENHI-PROJECT-24540173, KAKENHI-PROJECT-24654032, KAKENHI-PROJECT-25287025
[Journal Article] L^r Helmholtz decomposition and its application to the Navier-Stokes equations2013
- Author(s)
  Hideo Kozono, Taku Yanagisawa
- Journal Title
  
  Lectures on Analysis of Nonlinear Partial Differential Equations, Morningside Lectures in Mathematics, International Press
  
  Volume: Part 3 Pages: 237-290
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540173
[Journal Article] Generalized Lax-Milgram theorem in Banach spaces and its application to the elliptic system of boundary value problems2013
- Author(s)
  Kozono, H., Yanagisawa, T.
- Journal Title
  
  Manuscripta Math.
  
  Volume: 141 Issue: 3-4 Pages: 637-662
- DOI
  10.1007/s00229-012-0586-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24224003, KAKENHI-PROJECT-24540173, KAKENHI-PROJECT-25287025
[Journal Article] Leray's inequality in general multi-connected domains in R^n2012
- Author(s)
  H. Kozono, R. Farwig, T. Yanagisawa
- Journal Title
  
  Mathematische Annalen(online first)
  
  Volume: 354 Issue: 1 Pages: 137-145
- DOI
  10.1007/s00208-011-0716-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540179, KAKENHI-PROJECT-24224003, KAKENHI-PROJECT-24540173
[Journal Article] 多重連結領域における定常Navier-Stokes方程式の境界値問題,研究集会PPM2010報告集偏微分方程式と現象2011
- Author(s)
  柳沢卓
- Journal Title
  
  PDEs and Phenomena in Miyazaki 2010
  
  Volume: 1
- Data Source
  KAKENHI-PROJECT-21540179
[Journal Article] 多重連結領域における定常Navier-Stokes方程式の境界値問題2011
- Author(s)
  柳沢卓
- Journal Title
  
  PDEs and Phenomena in Miyazaki 2010報告集
- Data Source
  KAKENHI-PROJECT-21540179
[Journal Article] 多重連結領域における定常Navier-Stokes方程式の境界値問題2011
- Author(s)
  柳沢卓
- Journal Title
  
  研究集会PPM2010報告集偏微分方程式と現象:PDEs and Phenomena in Miyazaki 2010
  
  Volume: 1
- Data Source
  KAKENHI-PROJECT-21540179
[Journal Article] Analyticity for higher order nonlinear dispersive equations2010
- Author(s)
  N. Hayashi, K. Tomoeda, T. Yanagisawa
- Journal Title
  
  GAKUTO Internat. Ser. Math. Sci. Appl.
  
  Volume: Vol.32 Pages: 111-130
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540179
[Journal Article] Analyticity for higher order nonlinear dispersive equations2010
- Author(s)
  N.Hayashi, K.Tomoeda, Tomoeda, T.Yanagisawa
- Journal Title
  
  Math.Sci.Appli. 32
  
  Pages: 111-130
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540179
[Journal Article] Nonhomogeneous boundary value problems for stationary Navier-Stokes equations in a multiply connected domain2009
- Author(s)
  H. Kozono, T. Yanagisawa
- Journal Title
  
  Pacific Journal of Mathematics 243
  
  Pages: 127-150
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340037
[Journal Article] Leray's problem on the stationary Navier-Stokes equations with inhomogeneous boundary data2009
- Author(s)
  H. Kozono, T. Yanagisawa
- Journal Title
  
  Math. Z.
  
  Volume: Vol.262 Pages: 27-39
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540179
[Journal Article] Leray's problem on the stationary Navier-Stokes equations with inhomogeneous bounadary data2009
- Author(s)
  H.Kozono, T.Yanagisawa
- Journal Title
  
  Math.Z. 262
  
  Pages: 27-39
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540179
[Journal Article] Nonhomogeneous boundary value problems for stationary Navier-Stokes equations in a multiply connected domain2009
- Author(s)
  H.Kozono, T.Yanagisawa
- Journal Title
  
  Pacific J.Math. 243
  
  Pages: 127-150
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540179
[Journal Article] Global DIV-CURL Lemma in 3D bounded domains2009
- Author(s)
  H.Kozono, T.Yanagisawa
- Journal Title
  
  RIMS Kokyuroku Bessatsu B14 14
  
  Pages: 27-33
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540179
[Journal Article] Nonhomogeneous boundary value problems for stationary Navier-Stokes equations in a multiply connected domain2009
- Author(s)
  H. Kozono, T. Yanagisawa
- Journal Title
  
  Pacific J. Math.
  
  Volume: Vol.243 Pages: 127-150
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540179
[Journal Article] Global DIV-CURL Lemma in 3D bounded domains2009
- Author(s)
  H. Kozono, T. Yanagisawa
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B14 Pages: 27-33
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540179
[Journal Article] Global DIV-CURL Lemma on bounded domains in R^32009
- Author(s)
  H.Kozono, T.Yanagisawa
- Journal Title
  
  J.Funct.Anal. 256
  
  Pages: 3847-3859
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540179
[Journal Article] L^r-variational inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains2009
- Author(s)
  H.Kozono, T.Yanagisawa
- Journal Title
  
  Indiana Univ.Math.J. 58
  
  Pages: 1853-1920
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540179
[Journal Article] Global DIV-CURL Lemma on bounded domains in R^32009
- Author(s)
  H. Kozono, T. Yanagisawa
- Journal Title
  
  J. Funct. Anal.
  
  Volume: Vol.256 Pages: 3847-3859
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540179
[Journal Article] L^r-varitional inequality for vector fields and the Helmholtz-Weyl decomposition in bounded domains2009
- Author(s)
  H. Kozono, T. Yanagisawa
- Journal Title
  
  Indiana Univ. Math. J.
  
  Volume: Vol.58 Pages: 1853-1920
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540179
[Journal Article] Asymptotic behavior of solutions to the viscous Burgers equation2007
- Author(s)
  T. Yanagisawa
- Journal Title
  
  Osaka Journal of Mathematics 44
  
  Pages: 99-119
- NAID
  120004840827
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340037
[Presentation] n次元熱方程式に対する長時間漸近形と修正熱核2024
- Author(s)
  柳沢卓
- Organizer
  新潟駅前応用解析研究会
- Invited
- Data Source
  KAKENHI-PROJECT-22K03375
[Presentation] n次元熱方程式に対する長時間漸近形と修正熱核2024
- Author(s)
  柳沢卓
- Organizer
  北海道情報大学偏微分方程式セミナー
- Data Source
  KAKENHI-PROJECT-22K03375
[Presentation] On the spaces of harmonic Lr-vector fields over exterior domains2019
- Author(s)
  Taku Yanagisawa
- Organizer
  Maximal regularity and nonlinear PDE（RIMS共同研究（公開型）特別計画）
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0072
[Presentation] Characterization of the space of harmonic vector fields over exterior domains2018
- Author(s)
  Taku Yanagisawa
- Organizer
  The 35th Kyushu Symposium on Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04957
[Presentation] 外部領域上の調和ベクトル場のなす空間について2017
- Author(s)
  柳沢卓
- Organizer
  第6回岐阜数理科学研究会
- Invited
- Data Source
  KAKENHI-PROJECT-15K04957
[Presentation] On the existence and stability of stationary solutions of MHD equations under the inhomogeneous boundary conditions2016
- Author(s)
  Taku Yanagisawa
- Organizer
  The Navier Stokes Equations and Related Topics -In Honor of the 60th Birthday of Professor Reinhard Farwig-
- Place of Presentation
  Nagoya University, Japan
- Year and Date
  2016-03-10
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04957
[Presentation] On the stability of stationary solutions to the MHD equations with large boundary data2015
- Author(s)
  Taku Yanagisawa
- Organizer
  RIMS Workshop on Mathematical Analysis in Fluid and Gasdynamics
- Place of Presentation
  RIMS, Kyoto University, Kyoto, Japan
- Year and Date
  2015-07-09
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04957
[Presentation] 定常MHD方程式に対する非斉次境界値問題について2014
- Author(s)
  柳澤　卓
- Organizer
  大阪市大・大阪府大合同「第19回南大阪応用数学セミナー」
- Place of Presentation
  大阪府立大学　（大阪府堺市）
- Year and Date
  2014-06-28
- Data Source
  KAKENHI-PROJECT-24540173
[Presentation] The solvability and stability of boundary value problems for stationary MHD equations2014
- Author(s)
  Taku Yanagisawa
- Organizer
  ICM 2014 Satellite Conference, Mathematical Theory of Gases and Fluids and Related Applications
- Place of Presentation
  Seoul (Korea)
- Year and Date
  2014-08-12
- Invited
- Data Source
  KAKENHI-PROJECT-24540173
[Presentation] The stability of stationary solutions to the MHD equations under the inhomogeneous boundary condition2014
- Author(s)
  Taku Yanagisawa
- Organizer
  Fluid Dynamics and Electromagnetism: Theory and Numerical Approximation on occasion of Prof. Paolo Secchi and Alberto Valli 60th birthday
- Place of Presentation
  Levico Terme (Italy)
- Year and Date
  2014-06-05
- Invited
- Data Source
  KAKENHI-PROJECT-24540173
[Presentation] The boundary value problem for stationary MHD equations2014
- Author(s)
  Taku Yanagisawa
- Organizer
  Classical Problems and New Trends in Mathematical Fluid Dynamics on occasion of Professor Konstantin Pileckas' 60th birthday
- Place of Presentation
  Ferrara (Italy)
- Year and Date
  2014-10-02
- Invited
- Data Source
  KAKENHI-PROJECT-24540173
[Presentation] The solvability and stability of boundary value problems for stationary MHD equations2014
- Author(s)
  柳澤　卓
- Organizer
  第4回弘前非線形方程式研究会
- Place of Presentation
  弘前大学　（青森県弘前市）
- Year and Date
  2014-12-06
- Invited
- Data Source
  KAKENHI-PROJECT-24540173
[Presentation] Applications of Hodge decomposition to mathematical fluid Dynamics, The 4th MSJ-SI : Nonlinear Dynamics in Partial Different ial Equations2011
- Author(s)
  Taku Yanagisawa
- Organizer
  日本数学会,(招待講演)
- Place of Presentation
  九州大学医学部記念講堂,福岡市
- Year and Date
  2011-09-19
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] The solvability of stationary Navier-Stokes equations with inhomogeneous boundary data2011
- Author(s)
  Taku Yanagisawa
- Organizer
  International Conference on Mathematical Fluid Mechanics and Biomedical Applications(招待講演)
- Place of Presentation
  Univ. of Ponta Delgada, Azores, Portugal
- Year and Date
  2011-06-03
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] On global compensated compactness theorem2011
- Author(s)
  Taku Yanagisawa
- Organizer
  The 3^<rd> Nagoya Workshop on Differential Equations(招待講演)
- Place of Presentation
  名古屋大学(名古屋市)
- Year and Date
  2011-02-14
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] On global compensated compactness theorem2011
- Author(s)
  柳沢卓
- Organizer
  The 3^<rd> Nagoya Workshop on Differential Equations
- Place of Presentation
  名古屋大学(名古屋市)
- Year and Date
  2011-02-14
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] On global compensated compactness theorem2011
- Author(s)
  Taku Yanagisawa
- Organizer
  International Conference on Fluid and Gas Dynamics
- Place of Presentation
  金華市,中国(招待講演)
- Year and Date
  2011-09-25
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] Boundary value problems of the stationary MHD equations and Navier-Stokes equations with Coriolis force2011
- Author(s)
  Taku Yanagisawa
- Organizer
  Partial Differential Equations in Mathematical Physics and their Numerical Approximation(招待講演)
- Place of Presentation
  Levico Terme(Trento), Italy
- Year and Date
  2011-09-08
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] On global compensated compactness theorem2011
- Author(s)
  Taku Yanagisawa
- Organizer
  International Conference on Fluid and Gas Dynamics(招待講演)
- Place of Presentation
  Jinhua, China
- Year and Date
  2011-09-25
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] Boundary value problems of the stationary MHD equations and Navier-Stokes equations with Coriolis force2011
- Author(s)
  Taku Yanagisawa
- Organizer
  PartialDifferential Equations in Mathematical Physics and their Numerical Approximation
- Place of Presentation
  Levico Terme (Trento), Italy(招待講演)
- Year and Date
  2011-09-08
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] Applications of Hodge decomposition to mathematical fluid dynamics2011
- Author(s)
  Taku Yanagisawa
- Organizer
  The 4th MSJ-SI : Nonlinear Dynamics in Partial Differential Equations,日本数学会
- Place of Presentation
  九州大学医学部記念講堂,博多(招待講演)
- Year and Date
  2011-09-19
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] The solvability of stationary Navier-Stokes equations with inhomogeneous boundary data2011
- Author(s)
  Taku Yanagisawa
- Organizer
  International Conference on Mathematical Fluid Mechanics and Biomedical Applications
- Place of Presentation
  Univ.of Ponta Delgada, Portugal(招待講演)
- Year and Date
  2011-06-03
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] On the stationary boundary value problems of the Navier-Stokes equations with in and out flow on the boundary2011
- Author(s)
  Taku Yanagisawa
- Organizer
  7th Internatinal Congress on Industrial and Applied Mathematics
- Place of Presentation
  Vancouver, Convention Center, Canada(招待講演)
- Year and Date
  2011-07-18
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] The stationary Navier-Stokes equations under the inhomogeneous boundary conditions2011
- Author(s)
  Taku Yanagisawa
- Organizer
  International Workshop on Interaction between Mathematics and Fluid Mechanics
- Place of Presentation
  大阪大学(吹田市)
- Year and Date
  2011-03-08
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] On the stationary boundary value problems of the Navier-Stokes equations with in and out flow on the boundary2011
- Author(s)
  Taku Yanagisawa
- Organizer
  7th International Congress on Industrial and Applied Mathematics(招待講演)
- Place of Presentation
  Vancouver Convention Center, Canada
- Year and Date
  2011-07-18
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] Helmholtz-Weyl分解とその応用2010
- Author(s)
  柳沢卓
- Organizer
  日本数学会2010年度年会函数方程式論分科会特別講演(招待講演)
- Place of Presentation
  慶応義塾大学,横浜市
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] ベクトル場の分解定理とその流体力学への応用2010
- Author(s)
  柳沢卓
- Organizer
  乱流場と非線形構造-数学と流体力学の融合を目指して-(招待講演)
- Place of Presentation
  東北大学数理科学記念館(仙台市)
- Year and Date
  2010-04-24
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] 調和ベクトル場と流体力学等に現れる定常解2010
- Author(s)
  柳沢卓
- Organizer
  青葉山勉強会(第5回)
- Place of Presentation
  東北大学情報科学研究科(仙台市)
- Year and Date
  2010-06-11
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] Global compensated compactness theorem2010
- Author(s)
  柳沢卓
- Organizer
  Partial Differential Equations and Mathematical Physics
- Place of Presentation
  芝蘭会館(京都市)
- Year and Date
  2010-11-17
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] Helmholtz-Weyl分解とその応用2010
- Author(s)
  柳沢卓
- Organizer
  日本数学会特別講演
- Place of Presentation
  慶応義塾大学矢上キャンパス
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-19340037
[Presentation] Helmholtz-Weyl分解とその応用2010
- Author(s)
  柳沢卓
- Organizer
  日本数学会2010年度年会函数方程式論分科会特別講演
- Place of Presentation
  慶応義塾大学,横浜市
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] ベクトル場の分解定理とその流体力学への応用2010
- Author(s)
  柳沢卓
- Organizer
  乱流場と非線形構造-数学と流体力学の融合を目指して-
- Place of Presentation
  東北大学数理科学記念館(仙台市)
- Year and Date
  2010-04-24
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] 調和ベクトル場と流体力学等に現れる定常解2010
- Author(s)
  柳沢卓
- Organizer
  青葉山勉強会(第5回)(招待講演)
- Place of Presentation
  東北大学情報科学研究科(仙台市)
- Year and Date
  2010-06-11
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] 多重連結領域における定常Navier-Stokes方程式の境界値問題2010
- Author(s)
  柳沢卓
- Organizer
  PDEs and Phenomena in Miyazaki 2010
- Place of Presentation
  宮崎大学(宮崎市)
- Year and Date
  2010-11-21
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] 多重連結領域における定常Navier-Stokes方程式の境界値問題2010
- Author(s)
  柳沢卓
- Organizer
  PDEs and Phenomena in Miyazaki 2010(招待講演)
- Place of Presentation
  宮崎大学(宮崎市)
- Year and Date
  2010-11-21
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] Global compensated compactness theorem2010
- Author(s)
  Taku Yanagisawa
- Organizer
  Partial Diffe-rential Equations and Mathematical Physics(招待講演)
- Place of Presentation
  芝蘭会館(京都市)
- Year and Date
  2010-11-17
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] Leray's problems on the stationary Navier-Stokes equations with inhomogeneous boundary data II2009
- Author(s)
  柳沢卓
- Organizer
  PDE seminar at Zhejiang Normal University
- Place of Presentation
  Jinhua, China
- Year and Date
  2009-05-19
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] Asymptotic behavior of solutions to the viscous Burgers equation2009
- Author(s)
  柳沢卓
- Organizer
  Linear and Nonlinear Waves, No.7
- Place of Presentation
  大津市
- Year and Date
  2009-11-05
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] Leray's inequality in 3D domains2009
- Author(s)
  柳沢卓
- Organizer
  PDE seminar at Zhejiang Normal University
- Place of Presentation
  Jinhua, China
- Year and Date
  2009-05-19
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] 境界層方程式について2009
- Author(s)
  柳沢卓
- Organizer
  第2回CESセミナー
- Place of Presentation
  早稲田大学,東京都新宿区
- Year and Date
  2009-11-22
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] Leray's problems on the stationary Navier-Stokes equations with inhomogeneous boundary data I2009
- Author(s)
  柳沢卓
- Organizer
  PDE seminar at Zhejiang Normal University
- Place of Presentation
  Jinhua, China
- Year and Date
  2009-05-18
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] Blow-up criteria for smooth solutions of 3-D compressible Euler equations on a bounded domain2009
- Author(s)
  柳沢卓
- Organizer
  Topics of Fluid Dynamics
- Place of Presentation
  Brescia University, Brescia, Italy
- Year and Date
  2009-04-09
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] On the stationary Navier-Stokes equations in a 3D bounded domain under the nonhomogeneous boundary condition2009
- Author(s)
  柳沢卓
- Organizer
  Conference on "Mathematical Physics and PDEs"
- Place of Presentation
  Levico Terme (Trento), Italy
- Year and Date
  2009-09-08
- Data Source
  KAKENHI-PROJECT-19340037
[Presentation] Asymptotic behavior of solutions to the viscous Burgers equation2009
- Author(s)
  Taku Yanagisawa
- Organizer
  Linear and Nonlinear Waves,(招待講演)
- Place of Presentation
  大津市
- Year and Date
  2009-11-05
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] (Part I) Leray's problems on the stationary Navier-Stokes equations with inhomogeneous boundary data I,(Part II) Leray's problems on the stationary Navier-Stokes equations with inhomogeneous boundary data II,(Part III) Leray's inequality in 3D domains2009
- Author(s)
  Taku Yanagisawa
- Organizer
  PDE seminar at Zhejiang Normal university(連続招待講演)
- Place of Presentation
  Jinhua, China
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] On the stationary Navier-Stokes equations in a 3D bounded domain under the nonhomogeneous boundary condition2009
- Author(s)
  柳沢卓
- Organizer
  Conference on "Mathematical Physics and PDEs
- Place of Presentation
  Levico Terme, Trento, Italy
- Year and Date
  2009-09-08
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] Blow-up criteria for smooth solutions of 3-D compressible Euler equations on a bounded domain2009
- Author(s)
  Taku Yanagisawa
- Organizer
  Topics of Fluid Dynamics(招待講演)
- Place of Presentation
  Brescia University, Brescia, Italy
- Year and Date
  2009-04-09
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] On the stationary Navier-Stokes equations in a 3D bounded domain under the nonhomogeneous boundary condition2009
- Author(s)
  Taku Yanagisawa
- Organizer
  Conference on "Mathematical Physics and PDEs(招待講演)
- Place of Presentation
  Levico Terme, Trento, Italy
- Year and Date
  2009-09-08
- Data Source
  KAKENHI-PROJECT-21540179
[Presentation] Decomposition theorems of vector fields and the application to the Navier-Stokes eauations2007
- Author(s)
  Taku Yanagisawa
- Organizer
  Second Workshop on Nonlinear Partial Differential Equations: Analysis, computation and Application
- Place of Presentation
  Seoul National University, Korea
- Year and Date
  2007-06-01
- Data Source
  KAKENHI-PROJECT-19340037
[Presentation] Boundary value problems for stationary MHD equations
- Author(s)
  Taku Yanagisawa
- Organizer
  Mathematical Analysis of Viscous Incompressible Fluid, RIMS Symposium
- Place of Presentation
  RIMS, Kyoto University (Kyoto), Japan
- Invited
- Data Source
  KAKENHI-PROJECT-24540173
[Presentation] On the solvability of boundary value problems for the stationary MHD equations with inhomogeneous boundary conditions
- Author(s)
  Taku Yanagisawa
- Organizer
  Mathematical Analysis of Nonlinear Partial Differential Equations -In honor of Professor Shuichi Kawashima on his sixtieth birthday-
- Place of Presentation
  Nishijin Plaza, Kyushu University (Hakata), Japan
- Invited
- Data Source
  KAKENHI-PROJECT-24540173
[Presentation] On the solvability Navier-Stokes equations with nonhomogeneous boundary condition
- Author(s)
  Taku Yanagisawa
- Organizer
  Nonlinear Wave Equation and Fluid Mechanics -In honor of Professor Thomas C. Sideris on his sixtieth birthday-
- Place of Presentation
  Education Research Hall 2, Q402 Muroran Institute of Technology (Muroran), Japan
- Invited
- Data Source
  KAKENHI-PROJECT-24540173
[Presentation] Solvability of boundary value problems of the stationary MHD systems
- Author(s)
  Taku Yanagisawa
- Organizer
  Recent Advances in PDEs and Applications on occasion of Professor Hugo Beirao da Veiga's 70th birthday
- Place of Presentation
  Bellavista Relax Hotel, Levico Terme (Trento), Italy
- Invited
- Data Source
  KAKENHI-PROJECT-24540173

1. SHIZUTA Yasushi (90027368)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
2. 坂本礼子 (10031650)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. 藪田公三 (30004435)

# of Collaborated Projects: 5 results

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4. 宮武貞夫 (10025447)

# of Collaborated Projects: 5 results

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5. 高橋世知子 (60031689)

# of Collaborated Projects: 4 results

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6. 藤田收 (40031645)

# of Collaborated Projects: 3 results

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7. MATSUMURA Akitaka (60115938)

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8. ODANAKA Shinji (20324858)

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9. NISHIHARA Kenji (60141876)

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10. NISHIBATA Shinya (80279299)

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11. TSUGE Naoki (30449897)

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12. SHINODA Masato (50271044)

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13. CHAWANYA Takeshi (80294148)

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14. IOHARA Takao (00294140)

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26. MATSUI Sin'ya (50219367)

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27. TAKAGI Izumi (40154744)

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28. YANAGIDA Eiji (80174548)

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29. OGAWA Takayoshi (20224107)

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38. 筒井容平 (40722773)

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39. 高田了 (50713236)

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40. 金田行雄

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YANAGISAWA Taku 柳沢 卓

柳沢 卓 ヤナギサワ タク

Research Projects

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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Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Review Section

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Studies on mathematical structure of boundary value problems appearing in hydrodynamics and magnetohydrodynamicsPrincipal Investigator

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The development of the unified analytical method to hydrodynamical and electromagnetic phenomena based on decomposition theoremsPrincipal Investigator

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Clarification of the mathematical structure of fluid-dynamical and electromagnetic phenomena depending on topological properties of the domain.Principal Investigator

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Boundary value problems for hyperbolic systems from fluid-mechanics and electromagnetics arising as the limit of singular perturbationPrincipal Investigator

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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Principal Investigator

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YANAGISAWA Taku 柳沢卓

柳沢卓ヤナギサワタク