STABILITY OF VISCOUS CONTACT WAVE FOR COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS WITH FREE BOUNDARY

doi:10.1016/S0252-9602(10)60182-8

Abstract

Abstract:

In this paper, we study the large time behavior of solutions to the nonisentropic Navier-Stokes equations of general gas, where polytropic gas is included as a special case, with a free boundary. First we construct a viscous contact wave which approximates to the contact discontinuity, which is a basic wave pattern of compressible Euler equation, in finite time as the heat conductivity tends to zero. Then we prove the viscous contact wave is asymptotic stable if the initial perturbations and the strength of the contact wave are small. This generalizes our previous result
[6] which is only for polytropic gas.

Key words: Navier-Stokes equations, contact discontinuity, viscous contact wave

CLC Number:

35L50

HUANG Fei-Min, WANG Yong, ZHAI Xiao-Yun. STABILITY OF VISCOUS CONTACT WAVE FOR COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS WITH FREE BOUNDARY[J].Acta mathematica scientia,Series B, 2010, 30(6): 1906-1916.

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