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Soga Kohei  曽我 幸平

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SOGA Kohei  曽我 幸平

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Researcher Number 80620559
Other IDs
Affiliation (Current) 2025: 慶應義塾大学, 理工学部(矢上), 准教授
Affiliation (based on the past Project Information) *help 2018 – 2023: 慶應義塾大学, 理工学部(矢上), 准教授
2018: 慶應義塾大学, 理工学部(矢上), 専任講師
2016 – 2017: 慶應義塾大学, 理工学部(矢上), 講師
2015: 慶應義塾大学, 理工学部, 講師
Review Section/Research Field
Principal Investigator
Basic Section 12020:Mathematical analysis-related / Foundations of mathematics/Applied mathematics
Keywords
Principal Investigator
Navier-Stokes方程式 / 粘性解 / Hamilton-Jacobi方程式 / 弱解 / 線形輸送方程式 / 数値解析 / 流体力学 / 有限差分法 / 差分法 / Leray-Hopfの弱解 … More / 弱KAM理論 / Hamilton力学系 / KAM理論 / 非一様非圧縮性流体 / 等高面法 / 二相流体 / 計算機流体力学 / 力学系 / 応用解析 / 安定性解析・分岐解析 / 時間周期解 / 非圧縮性Navier-Stokes方程式 / 二相問題 / 特性曲線の方法 / level-set method / 最小作用の原理 / Kazhikhov-Smagulovモデル / 非圧縮性粘性流体 / Tonelliの変分法 / Lagrange力学系 / modeling / 適切性 / 二相自由境界問題 / discount近似 / 誤差評価 / 収束証明 / discount 近似 / 最大正則性 Less
  • Research Projects

    (3 results)
  • Research Products

    (20 results)
  • Co-Researchers

    (1 People)
  •  流体力学における数値解法の数学解析と解析力学における古典KAM理論の数学解析Principal Investigator

    • Principal Investigator
      曽我 幸平
    • Project Period (FY)
      2022 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Keio University
  •  Reserach on dynamical systems and fluid mechanics in terms of applied analysisPrincipal Investigator

    • Principal Investigator
      Soga Kohei
    • Project Period (FY)
      2018 – 2023
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Keio University
  •  Applied analysis for nonlinear problemsPrincipal Investigator

    • Principal Investigator
      SOGA Kohei
    • Project Period (FY)
      2015 – 2018
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      Keio University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015

All Journal Article Presentation

  • [Journal Article] Existence of global weak solutions of inhomogeneous incompressible Navier-Stokes system with mass diffusion2024

    • Author(s)
      Kacedan Eliott, Soga Kohei
    • Journal Title

      Zeitschrift fuer angewandte Mathematik und Physik

      Volume: 75 Issue: 2

    • DOI

      10.1007/s00033-024-02209-8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K03391, KAKENHI-PROJECT-18K13443
  • [Journal Article] A Remark on Tonelli’s Calculus of Variations2023

    • Author(s)
      Soga Kohei
    • Journal Title

      Russian Journal of Nonlinear Dynamics

      Volume: 19 Issue: 2 Pages: 239-248

    • DOI

      10.20537/nd230501

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22K03391, KAKENHI-PROJECT-18K13443
  • [Journal Article] More on Convergence of Chorin’s Projection Method for Incompressible Navier?Stokes Equations2022

    • Author(s)
      Maeda Masataka、Soga Kohei
    • Journal Title

      Journal of Mathematical Fluid Mechanics

      Volume: 24 Issue: 2 Pages: 1-31

    • DOI

      10.1007/s00021-021-00652-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13443
  • [Journal Article] Mathematical Analysis of Finite Difference Method Applied to Hamilton-Jacobi Equations: A Stochastic and Variational Approach2022

    • Author(s)
      曽我 幸平
    • Journal Title

      Bulletin of the Japan Society for Industrial and Applied Mathematics

      Volume: 32 Issue: 3 Pages: 127-138

    • DOI

      10.11540/bjsiam.32.3_127

    • ISSN
      2432-1982
    • Year and Date
      2022-09-22
    • Language
      Japanese
    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-18K13443
  • [Journal Article] Weak KAM theory for action minimizing random walks2021

    • Author(s)
      Soga Kohei
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 60 Issue: 5 Pages: 1-49

    • DOI

      10.1007/s00526-021-02025-2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13443
  • [Journal Article] Stochastic and variational approach to finite difference approximation of Hamilton-Jacobi equations2020

    • Author(s)
      Kohei Soga
    • Journal Title

      Mathematics of Computation

      Volume: 89 Issue: 323 Pages: 1135-1159

    • DOI

      10.1090/mcom/3437

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13443
  • [Journal Article] On convergence of Chorin’s projection method to a Leray-Hopf weak solution2020

    • Author(s)
      Hidesato Kuroki, Kohei Soga
    • Journal Title

      Numerische Mathematik

      Volume: 146 Issue: 2 Pages: 401-433

    • DOI

      10.1007/s00211-020-01144-w

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13443
  • [Journal Article] Weak KAM theory for discount Hamilton-Jacobi equations and its application2018

    • Author(s)
      H. Mitake, K. Soga
    • Journal Title

      Calc. Var. Partial Differential Equations

      Volume: accepted Issue: 3

    • DOI

      10.1007/s00526-018-1359-1

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K17574, KAKENHI-PROJECT-16H03948, KAKENHI-PROJECT-15K21369
  • [Journal Article] On some two phase problem for compressible and compressible viscous fluid flow separated by sharp interface2016

    • Author(s)
      Takayuki Kubo, Yoshihiro Shibata, Kohei Soga
    • Journal Title

      Discrete and Continuous Dynamical Systems - Series A (DCDS-A)

      Volume: Volume 36, Issue 7 Issue: 7 Pages: 3741-3774

    • DOI

      10.3934/dcds.2016.36.3741

    • NAID

      120007135602

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-15K21369, KAKENHI-PROJECT-24224004
  • [Presentation] Mathematical analysis of modified level-set equations2024

    • Author(s)
      Kohei Soga
    • Organizer
      94th Annual Meeting of the International Association of Applied Mathematics and Mechanics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13443
  • [Presentation] Mathematical analysis of modified level-set equations2024

    • Author(s)
      Kohe Soga
    • Organizer
      94th Annual Meeting of the International Association of Applied Mathematics and Mechanics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-22K03391
  • [Presentation] Weak KAM theory for discretized Hamilton-Jacobi equations2019

    • Author(s)
      Kohei Soga
    • Organizer
      New trends in Hamilton-Jacobi: PDE, Control, Dynamical Systems and Geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13443
  • [Presentation] A Finite Difference Method in Hamilton-Jacobi Equations and Weak KAM Theory2018

    • Author(s)
      Kohei Soga
    • Organizer
      12th AIMS Conference in Taipei
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K21369
  • [Presentation] On convergence of Chorin’s projection method to a Leray-Hopf weak solution -Bounded Lipschitz domain case-2018

    • Author(s)
      Kohei Soga
    • Organizer
      Conference on Mathematical Fluid Dynamics Bad Boll
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K21369
  • [Presentation] On convergence of Chorin's projection method to a Leray-Hopf weak solution2018

    • Author(s)
      曽我幸平
    • Organizer
      JSPS-DFG Japanese-German Graduate Externship "The 15th Japanese-German International Workshop on Mathematical Fluid Dynamics"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K21369
  • [Presentation] ハミルトン・ヤコビ方程式のディスカウント近似に対する選択問題 : 収束率2017

    • Author(s)
      曽我幸平 (発表者), 三竹大寿
    • Organizer
      日本数学会2017年度年会
    • Place of Presentation
      首都大学東京 (東京都 八王子市)
    • Year and Date
      2017-03-25
    • Data Source
      KAKENHI-PROJECT-15K21369
  • [Presentation] エントロピー解・粘性解の選択問題2017

    • Author(s)
      曽我幸平
    • Organizer
      「数学と現象:Mathematics and Phenomena in Miyazaki 2017
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K21369
  • [Presentation] 弱KAM理論の応用 1 - HJ方程式の放物型近似・差分近似・discount近似と対応する力学系2016

    • Author(s)
      曽我幸平
    • Organizer
      RIMS研究集会: 力学系とその関連分野の連携探索
    • Place of Presentation
      京都大学 (京都府 京都市)
    • Year and Date
      2016-06-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K21369
  • [Presentation] 古典KAM理論・弱KAM理論入門2016

    • Author(s)
      曽我幸平
    • Organizer
      RIMS研究集会: 力学系とその関連分野の連携探索
    • Place of Presentation
      京都大学 (京都府 京都市)
    • Year and Date
      2016-06-07
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K21369
  • [Presentation] Local well-posedness and global well-posedness of two-phase flows: compressible-compressible case2015

    • Author(s)
      Kohei Soga
    • Organizer
      RIMS 研究集会「非圧縮性粘性流体の数理解析」
    • Place of Presentation
      京都大学数理解析研究所(京都府 京都市)
    • Year and Date
      2015-11-16
    • Data Source
      KAKENHI-PROJECT-15K21369
  • 1.  MITAKE Hiroyoshi
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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