English

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

Analysis of PDEs 2020-09-22 v1

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 2×22 \times 2 system of conservation laws with linear damping.

Keywords

Cite

@article{arxiv.2009.09041,
  title  = {Vanishing viscosity limit for Riemann solutions to a $2 \times 2$ hyperbolic system with linear damping},
  author = {Richard De la cruz and Juan Juajibioy},
  journal= {arXiv preprint arXiv:2009.09041},
  year   = {2020}
}