数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (3): 645-649.doi: 10.1016/S0252-9602(09)60061-8

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SINGULAR LIMITS FOR INHOMOGENEOUS EQUATIONS OF ELASTICITY

陆云光,Christian Klingenberg   

  1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
    Department of Mathematics, National University of Colombia, Bogota, Colombia；Mathematisches Institut, Universit¨at W¨urzburg, Am Hubland, 97074 W¨urzburg, Germany
  • 收稿日期:2008-12-04 出版日期:2009-05-20 发布日期:2009-05-20

SINGULAR LIMITS FOR INHOMOGENEOUS EQUATIONS OF ELASTICITY

 LIU Yun-Guang, Christian Klingenberg   

  1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
    Department of Mathematics, National University of Colombia, Bogota, Colombia；Mathematisches Institut, Universit¨at W¨urzburg, Am Hubland, 97074 W¨urzburg, Germany
  • Received:2008-12-04 Online:2009-05-20 Published:2009-05-20

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摘要：

Based on the framework introduced in [4] or [5], the singular limits of stiff relaxation and dominant diffusion for the Cauchy problem of inhomogeneous equations of elasticity is studied. We are able to reach equilibrium even though the nonlinear stress term is not strictly increasing.

关键词: relaxation limit, equations of elasticity, compensated compactness, invariant regions theory

Abstract:

Based on the framework introduced in [4] or [5], the singular limits of stiff relaxation and dominant diffusion for the Cauchy problem of inhomogeneous equations of elasticity is studied. We are able to reach equilibrium even though the nonlinear stress term is not strictly increasing.

Key words: relaxation limit, equations of elasticity, compensated compactness, invariant regions theory

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  • 35L65
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