Preprint 2002-033

A Gas-Solid Free Boundary Problem for Compressible Viscous Gas

Feimin Huang, Akiataka Matsumura, and Xiaoding Shi

Abstract: In this paper we propose a gas-solid free boundary problem for a one-dimensional model system of compressible viscous gas associated with the inflow problem where the solid constantly transits into the gas and produces the inflow of the gas on the free boundary. We first show the existence of the travelling wave solution and its asymptotic stability. We further discuss the case the asymptotic state of the solution is given by a combination of the travelling wave solution and rarefaction wave.

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Feimin Huang, <>
Akiataka Matsumura, <>
Xiaoding Shi, <>
Publishing information:
Submitted to SIAM J.Math.Anal.
Submitted by:
<> June 13 2002.

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