Vanishing viscosity limit for Riemann solutions to a $2\times 2$ hyperbolic system with linear damping

Abstract

In this paper, we propose a time-dependent viscous system and by using the vanishing viscosity method we show the existence of %delta shock solution solutions for the Riemann problem to a particular $2\times 2$ system of conservation laws with linear damping.

References in corpus (1)

• New Self-Similar Solutions of Polytropic Gas Dynamics