Hyperbolic Approximation on System of Elasticity in Lagrangian Coordinates

Abstract

In this paper, we construct a sequence of hyperbolic systems (13) to approximate the general system of one-dimensional nonlinear elasticity in Lagrangian coordinates (2). For each fixed approximation parameter , we establish the existence of entropy solutions for the Cauchy problem (13) with bounded initial data (23).


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Caicedo, J. , Klingenberg, C. , Lu, Y. and Rendon, L. (2014) Hyperbolic Approximation on System of Elasticity in Lagrangian Coordinates. Natural Science, 6, 477-486. doi: 10.4236/ns.2014.67046.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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