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

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

摘要/Abstract

摘要：

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.

关键词: Navier-Stokes equations, contact discontinuity, viscous contact wave

Abstract:

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

中图分类号:

35L50

黄飞敏, 王勇, 翟晓云. STABILITY OF VISCOUS CONTACT WAVE FOR COMPRESSIBLE NAVIER-STOKES SYSTEM OF GENERAL GAS WITH FREE BOUNDARY[J]. 数学物理学报(英文版), 2010, 30(6): 1906-1916.

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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