Stability of Superposition of Viscous Contact Wave and Rarefaction Waves for Compressible Navier-Stokes System

preprint2015arXivOpen access

Abstract

This paper is concerned with the large-time behavior of solutions for the one-dimensional compressible Navier-Stokes system. We show that the combination of viscous contact wave with rarefaction waves for the non-isentropic polytropic gas is stable under \emph{large} initial perturbation without the condition that the adiabatic exponent γγ is close to 1, provided the strength of the combination waves is suitably small.

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