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

作　　者：黄飞敏 王勇 翟晓云 

机构地区：[1]Institute of Applied Mathematics, Academy of Mathematics and Systems Science Chinese Academy of Sciences

出　　处：《Acta Mathematica Scientia》2010年第6期1906-1916,共11页数学物理学报（B辑英文版）

基　　金：supported in part by NSFC (10825102) for distinguished youth scholar;NSFC-NSAF (10676037);973 project of China(2006CB805902)

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.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 

分 类 号：O35[理学—流体力学] O175[理学—力学]