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混合边条件约束下的有限变形弹性动力学解的存在性*

郭兴明

郭兴明. 混合边条件约束下的有限变形弹性动力学解的存在性*[J]. 应用数学和力学, 1998, 19(1): 27-34.
引用本文: 郭兴明. 混合边条件约束下的有限变形弹性动力学解的存在性*[J]. 应用数学和力学, 1998, 19(1): 27-34.
Guo Xingming. The Existence of Solution to the Finite Elastodynamics With Mixed Boundary Conditions[J]. Applied Mathematics and Mechanics, 1998, 19(1): 27-34.
Citation: Guo Xingming. The Existence of Solution to the Finite Elastodynamics With Mixed Boundary Conditions[J]. Applied Mathematics and Mechanics, 1998, 19(1): 27-34.

混合边条件约束下的有限变形弹性动力学解的存在性*

基金项目: * 上海市高校青年科技基金

The Existence of Solution to the Finite Elastodynamics With Mixed Boundary Conditions

  • 摘要: 本文证明了在系统超势及其梯度(对Green应变)满足适当条件的混合边值约束下的有限弹性动力学系统的解是存在.
  • [1] R.A.Adam,Sobolev Spaces,Academic Press,New York(1975).
    [2] M.S.Berger,Non linearity and Fun ction al Analysis,Academic Press(1977).
    [3] Y.C.Chen,W.Von Wahl,Das rand-an fangs wertproblem f r quasilineare we llenleichungen in sobolev raumen nicdriger Ordnung,J.Reine Angew.Math.,337(1982),77-112.
    [4] C.M.Dafermos and W.J.Heusa,Energy methods for quasilinear hyperbolic initial-boundary value problems,Applications to Elastodynamics,Arch.Rational Mech.Anal.,87(1985),267-292.
    [5] D.G.Ebin and R.A.Saxton,The initial-valueproblem for elastodynamics of incompressible bodies,Arch.Rational Mech.Anal.,94(1996),15-38.
    [6] D.G.Ebin and S.R.Simanca,Deformations of incompressible bodies with free boundary,Arch.Rational Mech.Anal.,120(1992),61-97.
    [7] M.E.Gurtin,An Introduction to Continuum Mechanics,Academic Press,New York(1981).
    [8] T.J.R.Hughes,T.Kato and J.E.Marsdon,Well-posed quasilinear second-order hyperbolic systems with application to nonlinear elastodynamics and general ralativity,Arch.Rational Mech.Anal.,63(1977),273-294.
    [9] T.J.R.Hughes and J.E.Marsden,Mathematical Foundations of Elasticity,Prentice-Hall,Englewood Cliffs NJ.,(1983).
    [10] T.Kato,Linear and quasilnear equations of evolution of hyperbolic type,in Hyper bolicity(G.Daprato and G.Geymonat ed.) Centro Internazionale Malematico Estivo,Ⅱ Ciclo,Cortona(1976):125-191.
    [11] J.L.L ions,Quelques M thodes de Rsolution des Problmes aux Iinites Non linrires,Punod,Gauthier-Villars,(1969).
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出版历程
  • 收稿日期:  1996-07-05
  • 刊出日期:  1998-01-15

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