paper

Stability of a Composite Wave of Two Seperate Strong Viscous Shock Waves for 1-D Isentropic Navier-Stokes System

arXiv:2109.02399

Abstract

In this paper, the large time behavior of solutions of 1-D isentropic Navier-Stokes system is investigated. It is shown that a composite wave consisting of two viscous shock waves is stable for the Cauchy problem provided that the two waves are initially far away from each other. Moreover the strengths of two waves could be arbitrarily large.

16 pages. arXiv admin note: substantial text overlap with arXiv:2103.15133