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2012 Fiscal Year Final Research Report

Nonlinear evolution equations with constraint related to the free boundary problem on thermohydraulics model

Research Project

  • PDF
Project/Area Number 21740130
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Global analysis
Research InstitutionKyoto University of Education

Principal Investigator

FUKAO Takeshi  京都教育大学, 教育学部, 准教授 (00390469)

Project Period (FY) 2008 – 2012
Keywords発展方程式 / 熱水力学 / Navier-Stokes方程式 / 仮似変分不等式
Research Abstract

The solvability and the characterization of a solution for non linear evolution equations with constraint are treated. The problem is related to the free boundary problem on thermohydraulics model. The solvability for a system between the variational inequality of Navier-Stokes type and the heat equation is proved.

  • Research Products

    (27 results)

All 2013 2012 2011 2010 2009 Other

All Journal Article (7 results) (of which Peer Reviewed: 6 results) Presentation (20 results)

  • [Journal Article] Abstract theory of variational inequalities and Lagrange multipliers2013

    • Author(s)
      T. Fukao and N. Kenmochi
    • Journal Title

      Discrete Contin. Dyn. Syst

    • Peer Reviewed
  • [Journal Article] Weak variational formulation for the constrained Navier-Stokes equations2012

    • Author(s)
      T. Fukao and N. Kenmochi
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: Vol. 1792 Pages: 57-81

  • [Journal Article] Variational inequality of the Navier-Stokes equations with time-dependent constraint2011

    • Author(s)
      T. Fukao and N. Kenmochi
    • Journal Title

      GAKUTO Internat. Ser. Math. Appl

      Volume: Vol. 34 Pages: 87-102

    • Peer Reviewed
  • [Journal Article] Variational inequality for the Stokes equations with constraint2011

    • Author(s)
      T. Fukao
    • Journal Title

      Discrete Contin.Dyn. Syst

      Pages: 437-446

    • Peer Reviewed
  • [Journal Article] Global attractor of double obstacle problem in thermohydraulics2010

    • Author(s)
      T. Fukao and M. Kubo
    • Journal Title

      GAKUTO Internat. Ser. Math. Appl

      Volume: Vol. 32 Pages: 273-287

    • Peer Reviewed
  • [Journal Article] Time-dependent obstacle problem in thermohydraulics2009

    • Author(s)
      T. Fukao and M. Kubo
    • Journal Title

      Discrete Contin.Dyn. Syst

      Pages: 240-249

    • Peer Reviewed
  • [Journal Article] A thermohydraulics model with temperature dependent constraint on velocity fields

    • Author(s)
      T. Fukao and N. Kenmochi
    • Journal Title

      Discrete Contin. Dyn. Syst. Ser S

    • Peer Reviewed
  • [Presentation] Characterization of the solution for evolution equations with timed-ependent constraints2013

    • Author(s)
      深尾武史-剣持信幸
    • Organizer
      日本数学会2013年度年会
    • Place of Presentation
      京都大学
    • Year and Date
      20130320-23
  • [Presentation] ある時間依存制約条件を含む発展方程式の解の表現定理について2012

    • Author(s)
      深尾武史-剣持信幸
    • Organizer
      第38回発展方程式研究会
    • Place of Presentation
      日本女子大学
    • Year and Date
      20121222-24
  • [Presentation] On a variational inequality of Bingham and Navier-Stokes type in three dimensional space2012

    • Author(s)
      T. Fukao
    • Organizer
      5th Polish-Japanese Days on Nonline ar Mathematics inInterdisciplinary Sciences - Modellings, Analysis and Simulations -
    • Place of Presentation
      関西セミナーハウス, 京都
    • Year and Date
      20121105-09
  • [Presentation] On a variational inequality of Bingham and Navier-Stokes type in three dimension2012

    • Author(s)
      T. Fukao
    • Organizer
      PDEs for multiphase advanced materials
    • Place of Presentation
      Cortona, Italy
    • Year and Date
      20120917-21
  • [Presentation] Abstract theory of the variational inequality and Lagrange multiplier2012

    • Author(s)
      T. Fukao and N. Kenmochi
    • Organizer
      AIMS' 9th International Conference on Dynamical Systems, Differentia Equations and Applicationsl
    • Place of Presentation
      Orland, USA
    • Year and Date
      20120701-05
  • [Presentation] ある種の非Newton流体を記述する変分不等式の可解性について2012

    • Author(s)
      深尾武史
    • Organizer
      日本数学会2012年度年会
    • Place of Presentation
      東京理科大学
    • Year and Date
      20120326-29
  • [Presentation] On a variational inequality for a fluid dynamics of Bingham and Navier-Stokes type in three dimension2012

    • Author(s)
      T. Fukao
    • Organizer
      CONFERENCE ON Evolution Equations, Related Topics and Applications
    • Place of Presentation
      早稲田大学
    • Year and Date
      20120319-23
  • [Presentation] 流速の制約条件を含む強変分・弱変分形式とその可解性について2011

    • Author(s)
      深尾武史-剣持信幸
    • Organizer
      第37回発展方程式研究会
    • Place of Presentation
      岐阜大学
    • Year and Date
      20111223-25
  • [Presentation] Well-posedness for the variational inequality related to the Navier-Stokes equations wth time-dependent constraints2011

    • Author(s)
      T. Fukao and N. Kenmochi
    • Organizer
      Analysis of nonlinear evolution problems: Selected topics in material and life sciences
    • Place of Presentation
      TU Eindhoven, Netherlands
    • Year and Date
      20111107-11
  • [Presentation] Weak variational formulation for the Navier-Stokes equations with time-dependent constraint2011

    • Author(s)
      T. Fukao and N. Kenmochi
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      20111024-26
  • [Presentation] 流速の大きさの制約条件に対する変分不等式の可解性について2011

    • Author(s)
      深尾武史-剣持信幸
    • Organizer
      日本数学会2011年度秋季総合分科会
    • Place of Presentation
      信州大学
    • Year and Date
      20110928-1001
  • [Presentation] Variational inequality for the Navier-Stokes equations with time dependent constraint2011

    • Author(s)
      T. Fukao and N. Kenmochi
    • Organizer
      International Symposium on Computational Science 2011
    • Place of Presentation
      金沢大学
    • Year and Date
      20110215-17
  • [Presentation] 流速の大きさの制約条件に対する変分不等式の可解性について2010

    • Author(s)
      深尾武史
    • Organizer
      第36回発展方程式研究会
    • Place of Presentation
      中央大学
    • Year and Date
      20101223-25
  • [Presentation] 流れの制約条件に対する変分不等式2010

    • Author(s)
      深尾武史
    • Organizer
      日本数学会2010年度秋季総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      20100922-25
  • [Presentation] Obstacle problem of Navier-Stokes equations in thermohydraulics2010

    • Author(s)
      T. Fukao
    • Organizer
      AIMS' 8th International Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      TU Dresden, Germany
    • Year and Date
      20100525-28
  • [Presentation] 温度依存制約条件を含むNavier-Stokes方程式の解の存在について2010

    • Author(s)
      深尾武史
    • Organizer
      日本数学会2010年度年会
    • Place of Presentation
      慶応大学
    • Year and Date
      20100325-27
  • [Presentation] 温度依存制約条件を含むNavier-Stokes方程式の解の存在について2009

    • Author(s)
      深尾武史
    • Organizer
      第35回発展方程式研究会
    • Place of Presentation
      中央大学
    • Year and Date
      20091223-25
  • [Presentation] ある障害物問題の時間局所・大域解と大域的アトラクターについて2009

    • Author(s)
      深尾武史-久保雅弘
    • Organizer
      日本数学会2009年度秋季総合分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      20090924-27
  • [Presentation] Global attractor of double obstacle problem in thermohydraulics2009

    • Author(s)
      T. Fukao-M. Kubo
    • Organizer
      Evolution Equations, Related Topics and Applications
    • Place of Presentation
      Munchen, Germany
    • Year and Date
      20090907-10
  • [Presentation] Global attractor for double obstacle problems in thermohydraulics2009

    • Author(s)
      T. Fukao-M. Kubo
    • Organizer
      4th Polish-Japanese Days on Current advances in applied nonlinear analysis and mathematical modelling issues
    • Place of Presentation
      Madralin, Poland
    • Year and Date
      20090518-21

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Published: 2014-08-29  

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