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TSUGE Naoki  柘植 直樹

ORCIDConnect your ORCID iD *help
… Alternative Names

柘植 直樹  ツゲ ナオキ

KAI Itsuko  甲斐 伊都子

HASHIMOTO Itsuko  橋本 伊都子

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Researcher Number 30449897
Other IDs
Affiliation (Current) 2025: 広島大学, 先進理工系科学研究科(工), 教授
Affiliation (based on the past Project Information) *help 2025: 広島大学, 先進理工系科学研究科(工), 教授
2010 – 2023: 岐阜大学, 教育学部, 准教授
2014: 富山工業高等専門学校, 一般教育科, 准教授
2007 – 2008: Hiroshima Institute of Technology, 情報学部, 講師
Review Section/Research Field
Principal Investigator
Mathematical analysis / Global analysis / Basic Section 12020:Mathematical analysis-related
Except Principal Investigator
Global analysis
Keywords
Principal Investigator
偏微分方程式 / 保存則 / 圧縮性オイラー方程式 / 不変領域 / 時間大域解の存在 / ノズル流 / 差分法 / 時間大域解 / 解の存在 / 流体力学 … More / 解の一意性 / 減衰評価 / 流体 / 外力 / 周期解 / 漸近挙動 / 反応拡散方程式 / エネルギー不等式 / ピストン問題 / 時間周期解 / チョーキング / グローバルアトラクター / 解の減衰評価 / 古典解 / グローバル・アトラクター / 漸近安定性 / 衝撃波 / Kuznetsov方程式 / 非線形音響学 / 圧縮性ナビエ・ストークス方程式 / 摩擦項 / 初期値問題 / 最大値原理 / 改良Godunovスキーム / 一般化された不変領域 / 単独保存則 / 補償コンパクト性 / 半導体の方程式 / 超音速流 / ラバール管 / 定常解の一意存在 / 半導体 / ラバル管 / 圧縮性流体 / 重力 / 半導体の流体力学モデル / 非線形現象 / 関数方程式の大域理論 … More
Except Principal Investigator
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 / 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 Less
  • Research Projects

    (7 results)
  • Research Products

    (60 results)
  • Co-Researchers

    (8 People)
  •  保存量からなる不変領域を用いた解の減衰評価と漸近挙動への挑戦Principal Investigator

    • Principal Investigator
      柘植 直樹
    • Project Period (FY)
      2025 – 2029
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Hiroshima University
  •  Developing mathematical methods for compressible fluids and their application to other equationsPrincipal Investigator

    • Principal Investigator
      Tsuge Naoki
    • Project Period (FY)
      2017 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Gifu University
  •  Mathematical elucidation of compressible fluid dynamicsPrincipal Investigator

    • Principal Investigator
      TSUGE Naoki
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Gifu 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
  •  Mathematical Analysis for the phenomena governed by conservation LawsPrincipal Investigator

    • Principal Investigator
      TSUGE Naoki
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Global analysis
    • Research Institution
      Gifu 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
  •  Mathematical Analysis in FluidPrincipal Investigator

    • Principal Investigator
      TSUGE Naoki
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Young Scientists (Start-up)
    • Research Field
      Global analysis
    • Research Institution
      Hiroshima Institute of Technology

All 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 Other

All Journal Article Presentation

  • [Journal Article] Existence of a Time Periodic Solution for the Compressible Euler Equation with a Time Periodic Outer Force in a Bounded Interval2023

    • Author(s)
      Tsuge, Naoki
    • Journal Title

      Archive for Rational Mechanics and Analysis

      Volume: 247 Issue: 3

    • DOI

      10.1007/s00205-023-01874-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05315
  • [Journal Article] Uniformly time-independent L∞ estimate for a one-dimensional hydrodynamic model of semiconductors2022

    • Author(s)
      N. Tsuge, Yun-guang Lu
    • Journal Title

      Front. Math. China

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05315
  • [Journal Article] Global existence of a solution for isentropic gas flow in the Laval nozzle with a friction2022

    • Author(s)
      N. Tsuge
    • Journal Title

      SIAM J. Math. Anal.

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05315
  • [Journal Article] A well-posedness for the reaction diffusion equations of Belousov-Zhabotinsky reaction2021

    • Author(s)
      S Kondo, NOVRIANTI, O Sawada, N Tsuge
    • Journal Title

      Osaka Journal of Mathematics

      Volume: 58 Pages: 59-70

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05315
  • [Journal Article] Existence of a time periodic solution for the compressible Euler equation with a time periodic outer force2020

    • Author(s)
      Naoki Tsuge
    • Journal Title

      Nonlinear Analysis: Real World Applications

      Volume: Volume 53 Pages: 103080-103080

    • DOI

      10.1016/j.nonrwa.2019.103080

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05315
  • [Journal Article] A WELL-POSEDNESS FOR THE REACTION DIFFUSION EQUATIONS OF BELOUSOV-ZHABOTINSKY REACTIO2020

    • Author(s)
      S. KONDO, NOVRIANTI, O. SAWADA, N. TSUGE
    • Journal Title

      Osaka Journal of Mathematics

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05315
  • [Journal Article] GLOBAL ENTROPY SOLUTIONS TO THE COMPRESSIBLE EULER EQUATIONS IN THE ISENTROPIC NOZZLE FLOW2019

    • Author(s)
      Naoki Tsuge
    • Journal Title

      HYP2018 proceedings 印刷中

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05315
  • [Journal Article] Global existence and stability to the polytropic gas dynamics with an outer force2019

    • Author(s)
      Yan-bo Hu a, Yun-guang Lu, Naoki Tsuge
    • Journal Title

      Applied Mathematics Letters

      Volume: 95 Pages: 36-40

    • DOI

      10.1016/j.aml.2019.03.022

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05315
  • [Journal Article] Existence of a global solution for a scalar conservation law with a source term: nonlinear resonance, invariant region depending on the space variable2017

    • Author(s)
      Tsuge, Naoki
    • Journal Title

      Acta Appl. Math.

      Volume: 147 Issue: 1 Pages: 177-186

    • DOI

      10.1007/s10440-016-0073-2

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400157
  • [Journal Article] Global entropy solutions to the compressible Euler equations in the isentropic nozzle flow for large data: Application of the generalized invariant regions and the modified Godunov scheme2017

    • Author(s)
      Tsuge, Naoki
    • Journal Title

      Nonlinear Anal. Real World Appl.

      Volume: 37C Pages: 217-238

    • DOI

      10.1016/j.nonrwa.2017.02.014

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400157
  • [Journal Article] Existence and stability of solutions to the compressible Euler equations with an outer force2016

    • Author(s)
      Tsuge, Naoki
    • Journal Title

      Nonlinear Anal. Real World Appl.

      Volume: 27 Pages: 203-220

    • DOI

      10.1016/j.nonrwa.2015.07.017

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400157
  • [Journal Article] Existence of global solutions for isentropic gas flow in a divergent nozzle with friction2015

    • Author(s)
      Naoki Tsuge
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: VOL426 Pages: 971-977

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400157
  • [Journal Article] Existence of a global solution to a scalar conservation law with a source term for large data2015

    • Author(s)
      Tsuge, Naoki
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 432 Issue: 2 Pages: 862-867

    • DOI

      10.1016/j.jmaa.2015.07.011

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400157
  • [Journal Article] Isentropic gas flow for the compressible Euler equation in a nozzle2014

    • Author(s)
      N. Tsuge
    • Journal Title

      Archive for Rational Mechanics and Analysis

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Journal Article] Isentropic gas flow for the compressible Euler equation in a nozzle2013

    • Author(s)
      Tsuge Naoki
    • Journal Title

      Arch. Ration. Mech. Anal

      Volume: 209, no.2 Issue: 2 Pages: 365-400

    • DOI

      10.1007/s00205-013-0637-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Journal Article] Existence of global solutions for unsteady isentropic gas flow in a Laval nozzle2012

    • Author(s)
      Tsuge Naoki
    • Journal Title

      Arch. Ration. Mech. Anal

      Volume: 205, no.1 Issue: 1 Pages: 151-193

    • DOI

      10.1007/s00205-012-0503-x

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Journal Article] Uniqueness of Stationary Solutions to a One-dimensional Bipolar Hydro dynamic Model of Semiconductors2011

    • Author(s)
      Naoki Tsuge
    • Journal Title

      数理解析研究所講究録

      Volume: 1730 Pages: 18-27

    • Data Source
      KAKENHI-PROJECT-22740103
  • [Journal Article] Existence and uniqueness of stationary solutions to a onedimensional bipolar hydrodynamic model of semiconductors2010

    • Author(s)
      Tsuge Naoki
    • Journal Title

      Nonlinear Anal

      Volume: 73, no.3 Issue: 3 Pages: 779-787

    • DOI

      10.1016/j.na.2010.04.015

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Journal Article] Existence and uniqueness of stationary solutions to a one-dimensional bipolar hydrodynamic model of semiconductors2010

    • Author(s)
      N. Tsuge
    • Journal Title

      Nonlinear Anal. 73

      Pages: 779-787

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340037
  • [Journal Article] Existence and uniqueness of stationary solutions to a one-dimensional bipolar hydrodynamic model of semiconductors2010

    • Author(s)
      Naoki Tsuge
    • Journal Title

      Nonlinear Analysis

      Volume: 73 Pages: 779-787

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Journal Article] Compressible Euler Equations with Gravitational Source2008

    • Author(s)
      Naoki, Tsuge
    • Journal Title

      Journal of Hyperbolic Differential Equations Vol.5,No.2

      Pages: 317-346

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19840050
  • [Journal Article] Large-time behavior of solutions to an initial-boundary value problem on the half line for scalar viscous conservation law2007

    • Author(s)
      Hashimoto, A. Matsumura
    • Journal Title

      Met.Appl.Anal. 14

      Pages: 45-60

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340037
  • [Journal Article] Large-time behavior of solutions to an initial-boundary value problem on the half line for scalar viscous conservation law2007

    • Author(s)
      I. Hashimoto and A. Matsumura
    • Journal Title

      Methods and Applications of Analysis 14

      Pages: 45-60

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340037
  • [Journal Article] Large Time Decay of Solutions to Isentropic Gas Dynamics with Spherical Symmetry

    • Author(s)
      N. Tsuge
    • Journal Title

      Journal of Hyperbolic Differential Equations(採録決定)

      Pages: 0-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19840050
  • [Journal Article] Global Solutions to the Compressible Euler Equations with Gravitational Source

    • Author(s)
      N. Tsuge
    • Journal Title

      Journal of Hyperbolic Differential Equations 5

      Pages: 317-346

    • Data Source
      KAKENHI-PROJECT-19840050
  • [Presentation] DECAY OF SOLUTIONS OF ISENTROPIC GAS DYNAMICS FOR LARGE DATA2023

    • Author(s)
      Naoki Tsuge
    • Organizer
      East Asian Workshop on PDEs from Kinetics and Continuum Mechanics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05315
  • [Presentation] 圧縮性オイラー方程式の解の減衰評価について2023

    • Author(s)
      柘植直樹
    • Organizer
      北見工業大学における微分方程式セミナー
    • Data Source
      KAKENHI-PROJECT-17K05315
  • [Presentation] ノズル内の気体の等エントロピー流れ2018

    • Author(s)
      柘植直樹
    • Organizer
      第1回松江数理生物学・現象数理学ワークショップ
    • Data Source
      KAKENHI-PROJECT-17K05315
  • [Presentation] GLOBAL ENTROPY SOLUTIONS TO THE COMPRESSIBLE EULER EQUATIONS IN THE ISENTROPIC NOZZLE FLOW2018

    • Author(s)
      Naoki Tsuge
    • Organizer
      HYP2018
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05315
  • [Presentation] Global entropy solutions to the compressible Euler equations in the isentropic nozzle ow for large data2018

    • Author(s)
      柘植直樹
    • Organizer
      流体と気体の数学解析
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05315
  • [Presentation] ノズル内の気体の運動:時間大域解の存在と不変領域2018

    • Author(s)
      柘植直樹
    • Organizer
      非線形現象の数値シミュレーションと解析2018
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05315
  • [Presentation] ノズル内の気体の等エントロピー流れ2017

    • Author(s)
      柘植直樹
    • Organizer
      日本数学会
    • Place of Presentation
      首都大学東京
    • Data Source
      KAKENHI-PROJECT-25400157
  • [Presentation] ノズル内の等エントロピー流:一般化された不変領域と改良ゴドゥノフの差分法2017

    • Author(s)
      柘植直樹
    • Organizer
      若手による流体力学の基礎方程式研究集会
    • Place of Presentation
      名古屋大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400157
  • [Presentation] 外力項のついた圧縮性オイラー方程式の初期値問題について2016

    • Author(s)
      柘植直樹
    • Organizer
      日本数学会
    • Place of Presentation
      筑波大学
    • Year and Date
      2016-03-18
    • Data Source
      KAKENHI-PROJECT-25400157
  • [Presentation] Motion of the inviscid gas through a nozzle -existence of a time global solution and invariant regions-2015

    • Author(s)
      柘植直樹
    • Organizer
      第137回神楽坂解析セミナー
    • Place of Presentation
      東京理科大学
    • Year and Date
      2015-10-24
    • Data Source
      KAKENHI-PROJECT-25400157
  • [Presentation] 圧縮性オイラー方程式の時間大域解について―ノズル内の等エントロピー流―2015

    • Author(s)
      柘植直樹
    • Organizer
      金沢解析研究会2015
    • Place of Presentation
      金沢大学サテライト・プラザ
    • Year and Date
      2015-08-27
    • Data Source
      KAKENHI-PROJECT-25400157
  • [Presentation] 非線形音響学に現れるKuznetsov 方程式につい;初期値問題に対する漸近安定性2014

    • Author(s)
      柘植直樹
    • Organizer
      若手による流体力学の基礎方程式研究集会
    • Place of Presentation
      名古屋大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400157
  • [Presentation] Motion of the inviscid gas through a nozzle - Existence of a time global solution and invariant regions -2014

    • Author(s)
      Tsuge Naoki
    • Organizer
      IMS Workshop on Nonlinear PDEs from Fluids and Related Topics
    • Place of Presentation
      香港中文大学
    • Year and Date
      2014-03-25
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Presentation] Motion of the inviscid gas through a nozzle; Existence of a timeglobal solution and invariant regions2014

    • Author(s)
      Naoki Tsuge
    • Organizer
      IMS Workshop on Nonlinear PDEs from Fluids and Related Topics
    • Place of Presentation
      香港中文大学(中華人民共和国、香港)
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400157
  • [Presentation] Motion of the inviscid gas through a nozzle - Existence of a time global solution and invariant regions -2013

    • Author(s)
      Tsuge Naoki
    • Organizer
      Fourth Japan-China Workshop on Mathematical Topics from Fluid Mechanics
    • Place of Presentation
      東京工業大学
    • Year and Date
      2013-09-19
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Presentation] ノズル内の気体の運動-時間大域解の存在と不変領域-2013

    • Author(s)
      柘植直樹
    • Organizer
      日本数学会
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Presentation] Motion of the inviscid gas through a nozzle; Existence of a time global solution and invariant regions2013

    • Author(s)
      Naoki Tsuge
    • Organizer
      Fourth Japan-China Workshop on Mathematical Topics from Fluid Mechanics
    • Place of Presentation
      東京工業大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400157
  • [Presentation] ノズル内の等エントロピー流れ2013

    • Author(s)
      柘植直樹
    • Organizer
      第3 回室蘭非線形解析研究会
    • Place of Presentation
      室蘭工業大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400157
  • [Presentation] Existence of global solutions for unsteady isentropic gas ow in a laval nozzle2012

    • Author(s)
      Tsuge Naoki
    • Organizer
      京都大学数理解析研究所(代表者 : 井口達雄)
    • Year and Date
      2012-07-06
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Presentation] Existence of global solutions for unsteady isentropic gas flow in a Laval nozzle2012

    • Author(s)
      Naoki Tsuge
    • Organizer
      京都大学研究所研究集会「流体と気体の数学解析」
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Presentation] Existence of Global Solutions for Unsteady Isentropic Gas Flow in a Laval Nozzle2012

    • Author(s)
      Tsuge Naoki
    • Organizer
      第7回日独流体数学国際研究集会
    • Year and Date
      2012-11-07
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Presentation] Existence of Global Solutions for Unsteady Isentropic Gas Flow in a Laval Nozzle2012

    • Author(s)
      Naoki Tsuge
    • Organizer
      第7 回 日独流体数学国際研究集会
    • Place of Presentation
      早稲田大学
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Presentation] ラバール管内の気体の運動-時間大域解の存在-2012

    • Author(s)
      柘植直樹
    • Organizer
      日本数学会
    • Place of Presentation
      東京理科大学神楽坂キャンパス
    • Year and Date
      2012-03-29
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Presentation] Stationary Problems to a One-dimensional Bipolar Hydrodynamic Models of Semiconductors2010

    • Author(s)
      Naoki Tsuge
    • Organizer
      現象の数理解析に向けた非線形発展方程式とその周辺
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-10-13
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Presentation] Existence and uniqueness of stationary solutions to a onedimensional bipolar hydrodynamic models of semiconductors2010

    • Author(s)
      Tsuge Naoki
    • Organizer
      流体と気体の数学解析(代表者 : 隠居良行)
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-07-07
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Presentation] Stationary problems to a one-dimensional bipolar hydrodynamic models of semiconductors2010

    • Author(s)
      Tsuge Naoki
    • Organizer
      流体と気体の数学解析(代表者 : 愛木豊彦)
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-10-13
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Presentation] 1次元の半導体の流体力学モデルの定常問題について 古典解の存在と一意性2010

    • Author(s)
      柘植直樹
    • Organizer
      理論応用力学講演会
    • Place of Presentation
      日本学術会議
    • Year and Date
      2010-06-09
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Presentation] Existence and uniqueness of stationary solutions to a one-dimensional bipolar hydrodynamic models of semiconductors2010

    • Author(s)
      Naoki Tsuge
    • Organizer
      流体と気体の数学解析
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-07-07
    • Data Source
      KAKENHI-PROJECT-22740103
  • [Presentation] 圧縮性オイラー方程式の時間大域解と漸近挙動2009

    • Author(s)
      柘植直樹
    • Organizer
      日本数学会特別講演
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-27
    • Data Source
      KAKENHI-PROJECT-19340037
  • [Presentation] 流体力学に基づく反古典的な半導体方程式の定常解の一意性について2008

    • Author(s)
      柘植直樹
    • Organizer
      日本数学会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-27
    • Data Source
      KAKENHI-PROJECT-19840050
  • [Presentation] 重力項のある圧縮性オイラー方程式の球対称解について2008

    • Author(s)
      柘植直樹
    • Organizer
      日本数学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-25
    • Data Source
      KAKENHI-PROJECT-19840050
  • [Presentation] 圧縮性オイラー方程式の球対称解の減衰評価2008

    • Author(s)
      柘植直樹
    • Organizer
      日本数学会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-25
    • Data Source
      KAKENHI-PROJECT-19840050
  • [Presentation] 流体力学に基づく半古典的半導体方程式の定常解の一意性について2008

    • Author(s)
      柘植直樹
    • Organizer
      日本数学会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-27
    • Data Source
      KAKENHI-PROJECT-19840050
  • [Presentation] 圧縮性オイラー方程式の球対称解について2007

    • Author(s)
      柘植直樹
    • Organizer
      発展方程式研究集会
    • Place of Presentation
      中央大学
    • Year and Date
      2007-09-06
    • Data Source
      KAKENHI-PROJECT-19340037
  • [Presentation] 単独粘性保存則に対する半直線上のある初期値境界値問題について2007

    • Author(s)
      橋本伊都子、松村昭孝
    • Organizer
      日本数学会 秋期総合分科会
    • Place of Presentation
      東北大学
    • Year and Date
      2007-09-23
    • Data Source
      KAKENHI-PROJECT-19340037
  • 1.  MATSUMURA Akitaka (60115938)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 3 results
  • 2.  ODANAKA Shinji (20324858)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 3.  NISHIHARA Kenji (60141876)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 4.  NISHIBATA Shinya (80279299)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  YANAGISAWA Taku (30192389)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  CHAWANYA Takeshi (80294148)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  IOHARA Takao (00294140)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  KOMATSU Gen (60108446)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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