ABSTRACT

This chapter considers the existence of global weak solutions for the extended nonlinear hyperbolic systems of elasticity with bounded measurable initial data. It proves the existence of viscosity solutions to the Cauchy problem. The chapter aims to construct the entropy-entropy flux pairs of Lax type to prove the existence of weak solutions to the Cauchy problem. It uses the entropy-entropy flux pairs of Lax type to deduce that the Young measures are Dirac ones.