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. |
[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).
|