Preprint 2003-024

On the Global Stability of Contact Discontinuity for Compressible Navier-Stokes Equations

Feimin Huang and Huijiang Zhao

Abstract: The asymptotic behavior of the solutions toward the contact discontinuity for the one-dimensional compressible Navier-Stokes equations with a free boundary is investigated. It is shown that the viscous contact discontinuity introduced in [3] is asymptotic stable with arbitrarily large initial perturbation if the adiabatic exponent $\gamma$ is near 1. The case the asymptotic state is given by a combination of viscous contact discontinuity and the rarefaction wave is further investigated. Both the strength of rarefaction wave and the initial perturbation can be arbitrarily large.

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Feimin Huang, <>
Huijiang Zhao, <>
Publishing information:
To appear in Rendiconti del Seminario matematico dell'Universita' di Padova
Submitted by:
<> April 7 2003.

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