A Gas-Solid Free Boundary Problem for Compressible Viscous Gas
Feimin Huang, Akiataka Matsumura, and Xiaoding Shi
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,
- Xiaoding Shi,
- Publishing information:
- Submitted to SIAM J.Math.Anal.
- Submitted by:
June 13 2002.
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