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The initial-boundary value problem for a system of nonlinear elastic waves

Research Project

Project/Area Number 16540199
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Global analysis
Research InstitutionFuture University-Hakodate

Principal Investigator

AGEMI Rentaro  Future University-Hakodate, School of systems information science, Professor, システム情報科学部, 教授 (10000845)

Co-Investigator(Kenkyū-buntansha) TAKAMURA Hiroyuki  Future University-Hakodate, School of systems information science, Associate Professor, システム情報科学部, 助教授 (40241781)
Project Period (FY) 2004 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2006: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 2005: ¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 2004: ¥1,000,000 (Direct Cost: ¥1,000,000)
Keywordssystem of elastic waves / initial-boundary problem / spherical symmetry / global solution / null condition / 非線形弾性波動方程式系 / 初期境界値問題 / 球体称解 / 大域解 / 等方性 / Poisson ratio / 大域解の存在 / 当方性
Research Abstract

We studied the initial-boundary problem for spherical symmetric solutions introduced by F.John, where boundary is a sphere. We formulated concretely nonlinear boundary condition so called traction problem for spherical symmetric solution. As the first step toward to nonlinear problem, we established that the energy inequalities for linear initial-boundary problem hold in the interior and exterior domain for any material.

Report

(4 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • Research Products

    (5 results)

All 2006 2005 Other

All Journal Article (5 results)

  • [Journal Article] The lifespan of solutions to nonlinear systems of a high-dimensional wave equation2006

    • Author(s)
      高村 博之 他2名
    • Journal Title

      Nonlinear Analysis 64

      Pages: 2215-2250

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The lifespan of solutions to nonlinear systems of high-dimensional wave equations2006

    • Author(s)
      V.Georgiev, H.Takamura, Y.Zhou
    • Journal Title

      Nonlinear Analysis 65

      Pages: 2215-2250

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Mixed amplitude solutions of semilinear systems of 3-dimentionl wave equations2005

    • Author(s)
      高村 博之
    • Journal Title

      Asymptotic Analysis 45

      Pages: 99-112

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Mixed amplitude solutions of semilinear systems of 3-dimensional wave equations2005

    • Author(s)
      Hiroyuki Takamura
    • Journal Title

      Asymptotic Analysis 45

      Pages: 99-112

    • NAID

      120006459400

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The lifespan of solutions to nonlinear systems of high dimensional wave equation

    • Author(s)
      高村 博之, Vladimir Georgiev
    • Journal Title

      Nonlinear Analysis (accepted)

    • Related Report
      2005 Annual Research Report

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Published: 2004-04-01   Modified: 2016-04-21  

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