Young measures and an application of compensated compactness to one-dimensional nonlinear elastodynamics

Peixiong Lin · Transactions of the American Mathematical Society · 1992

We study the existence problem for the equations of I-dimensional nonlinear elastodynamics.We obtain the convergence of LP (p < (0) bounded approximating sequences generated by the method of vanishing viscosity and the Lax-Friedrichs scheme.The analysis uses Young measures, Lax entropies, and the method of compensated compactness.

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