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系统科学与数学 2008
Existence of Global Entropy Solutions to an InhomogeneousElastodynamics Equations
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Abstract:
The existence of global entropy solution for nonlinear and inhomogeneous elastodynamics equations. A prior $L^{\infty}$ estimates of viscosity solution is derived with the help of the theory of invariant regions. By using the vanishing viscosity method together with compensation compactness theory, the convergence of viscosity solution is obtained.