Riemann Problem for a limiting system in elastodynamics

Abstract

In this article, we discuss about the resolution of the Riemann problem for a 2x2 system in nonconservative form exhibiting parabolic degeneracy. The system can be perceived as the limiting equation (depending on a parameter tending to 0) of a 2x2 strictly hyperbolic, genuinely nonlinear, non-conservative system arising in context of a model in elastodynamics.

arXiv commentA revised version with considerable change in content. The title of the article has been changed to 'Riemann Problem for a limiting system in elastodynamics'. The contents of the earlier version in arxiv is Section 2 in this revised version. The abstract has been changed as well