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NAKAJIMA Toru  中島 徹

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中島 徹  ナカジマ トオル

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Researcher Number 50362182
Other IDs
External Links
Affiliation (Current) 2025: 静岡大学, 工学部, 准教授
Affiliation (based on the past Project Information) *help 2014: 静岡大学, 工学研究科, 准教授
2013: 静岡大学, 工学(系)研究科(研究院), 准教授
2006 – 2012: Shizuoka University, Faculty of Engineering, Ass. Pro
2004 – 2006: Shizuoka University, Faculty of Engineering, Associate professor, 工学部, 助教授
2003: Shizuoka University(from October 2002), Faculty of Engineering, Lecturer, 工学部, 講師
Review Section/Research Field
Principal Investigator
Global analysis
Except Principal Investigator
Global analysis / Basic analysis / Global analysis / Basic analysis
Keywords
Principal Investigator
第一固有値 / 特異性 / 安定性 / 調和写像
Except Principal Investigator
自由境界問題 / 変分問題 / R-boundedness / variational problems / Free boundary problems / Analytic semigroups … More / 最大正則性 / 解析的半群 / ノイマン境界条件 / ストークス方程式 / 特異性 / 正則性 / m調和写像流 / m調和写像 / 幾何学的測度論 / 発展方程式 / 非線形偏微分方程式 / ミニマイジング・ムーブメント / free boundary / energy concentration / singularity / regularity / m-harmonic map flow / m-harmonic map / 特異摂動問題 / 特異摂動 / エネルギー集中現象 / Fourier multiplier theorem / Navier-Stokes equations / Stokes equations / Lp-maximal regularity / 2相流体 / 準線形方程式 / 非圧縮性粘性流体 / Fourier multiplierの定理 / Navier-Stokes方程式 / Stokes方程式 / Lp最大正則性 / geometric measure theory / evolution equtions / nonlinear partial differential equations / minimizing movement / 非線形へ偏微分方程式 / quasiconvexity / partial differential equations / 準凸性 / 偏微分方程式 / Local energy decay / L_p-L_q estimates / L_p estimates / Resolvent problems / Neumann boundary condition / Stokes Equations / 非有界領域 / L_p評価 / 界面問題 / 外部領域 / 有界領域 / 自由境界値問題 / 局所エネルギー減衰 / Lp-Lq評価 / Lp評価 / レゾルベント問題 / 函数解析学 / 函数方程式論 / 調合写像 / 幾何学的変分問題 / エネルギー量子化 / 調和写像流 / 調和写像 Less
  • Research Projects

    (9 results)
  • Research Products

    (10 results)
  • Co-Researchers

    (13 People)
  •  Study of evolution equations in the space of BV functions

    • Principal Investigator
      KIKUCHI Koji
    • Project Period (FY)
      2011 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Shizuoka University
  •  Study of problems in calculus of variations, differential equations, and other areas involving minimizing movements

    • Principal Investigator
      KIKUCHI Koji
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Shizuoka University
  •  Mathematical research on regularity and singularity for the m-harmonic map flows and energy quantization phenomenon

    • Principal Investigator
      MISAWA Masashi
    • Project Period (FY)
      2007 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kumamoto University
  •  Study on singularities and stability of harmonic maps between Riemannian manifoldsPrincipal Investigator

    • Principal Investigator
      NAKAJIMA Toru
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Global analysis
    • Research Institution
      Shizuoka University
  •  The approach of an analytic semigroup for free boundary problems of viscous compressible fluids

    • Principal Investigator
      SHIMIZU Senjo
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Shizuoka University
  •  Study on Regularity and Singularity of a weak solution to the m-harmonic maps and the evolution

    • Principal Investigator
      MISAWA Masashi
    • Project Period (FY)
      2005 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kumamoto University
  •  Study of evolution equations from the aspects of the theory of minimizing movements

    • Principal Investigator
      KIKUCHI Koji
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Shizuoka University
  •  Mathematical analysis of interface problems in mathematical physics

    • Principal Investigator
      SHIMIZU Senjo
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Shizuoka University
  •  Analysis of gradient flow equations and Lagrange equations of action integrals associated to quasiconvex functionals

    • Principal Investigator
      KIKUCHI Koji
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Shizuoka University

All 2009 2007 2006 Other

All Journal Article Presentation

  • [Journal Article] A remark on instability of harmonic maps betweenspheres2009

    • Author(s)
      To^ru Nakajima
    • Journal Title

      Pacific J. Math. 240巻

      Pages: 363-369

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19540212
  • [Journal Article] A remark on instability of harmonic maps between spheres2009

    • Author(s)
      Toru Nakajima
    • Journal Title

      Pacific Journal of Mathematics 240

      Pages: 363-369

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18740088
  • [Journal Article] Singular points of harmonic maps from 4-dimensional domains into 3-spheres.2006

    • Author(s)
      Toru Nakajima
    • Journal Title

      Duke Mathematical Journal 132・no.3

      Pages: 531-543

    • Data Source
      KAKENHI-PROJECT-18740088
  • [Journal Article] Singular points of harmonic maps from 4-dimensional domains into 3-spheres2006

    • Author(s)
      To^ru Nakajima
    • Journal Title

      Duke Math. J. 132巻

      Pages: 531-543

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16540186
  • [Journal Article] Singular points of harmonic maps from 4-dimensional domains into 3-spheres2006

    • Author(s)
      Tohru Nakajima
    • Journal Title

      Duke Mathematical Journal 132 no.3

      Pages: 531-543

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540199
  • [Journal Article] Singular points of harmonic maps from 4-dimensional domains into 3-spheres2006

    • Author(s)
      Toru, Nakajima
    • Journal Title

      Duke Math. J 132

      Pages: 531-543

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540186
  • [Journal Article] Singular points of harmonic maps from 4-dimensional domains into 3-spheres2006

    • Author(s)
      Tohru Nakajima
    • Journal Title

      Duke Mathematical Journal 132, no. 3

      Pages: 531-543

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540199
  • [Journal Article] Singular points of harmonic maps from 4-dimensional domains into 3-spheres

    • Author(s)
      To^ru Nakajima
    • Journal Title

      Duke Mathematical Journal (掲載確定)

    • Data Source
      KAKENHI-PROJECT-16540186
  • [Journal Article] Singular points of harmonic maps from 4-dimensional domains into 3-spheres

    • Author(s)
      中島 徹
    • Journal Title

      Duke Mathematical Journal (To appear)

    • Data Source
      KAKENHI-PROJECT-17540199
  • [Presentation] Singularities of harmonic maps into spheres2007

    • Author(s)
      中島 徹
    • Organizer
      Nonlinear Analysis of Curves and Surfaces
    • Place of Presentation
      埼玉大学ソニックシティカレッジ
    • Year and Date
      2007-12-25
    • Data Source
      KAKENHI-PROJECT-18740088
  • 1.  KIKUCHI Koji (50195202)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 2.  SHIMIZU Senjo (50273165)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 3.  HOSHIGA Akira (60261400)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 0 results
  • 4.  ADACHI Shinji (40339685)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 5.  TONEGAWA Yoshihiro (80296748)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 6.  MISAWA Masashi (40242672)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  SHIBATA Yoshihiro (50114088)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  KUBO Hideo (50283346)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  OHTA Masahito (00291394)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  HOSHIGA Akira (50261400)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  NEGORO Akira (80021947)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  KOBAYASHI Osamu (10153595)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  FURUSHIMA Mikio (00165482)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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