GLOBAL STABILITY OF WAVE PATTERNS FOR COMPRESSIBLE NAVIER-STOKES SYSTEM WITH FREE BOUNDARY  

作　　者：秦晓红 王腾 王益 

机构地区：[1]Department of Mathematics, Nanjing University of Science and Technology [2]Department of Mathematics, School of Science, Beijing Forestry University [3]Institute of Applied Mathematics, AMSS, CAS

出　　处：《Acta Mathematica Scientia》2016年第4期1192-1214,共23页数学物理学报（B辑英文版）

基　　金：supported by NSFC Grant No.11171153;supported by NSFC Grant No.11322106;supported by the Fundamental Research Funds for the Central Universities No.2015ZCQ-LY-01 and No.BLX2015-27

摘　　要：In this article, we investigate the global stability of the wave patterns with the superposition of viscous contact wave and rarefaction wave for the one-dimensional compressible Navier-Stokes equations with a free boundary. It is shown that for the ideal polytropic gas, the superposition of the viscous contact wave with rarefaction wave is nonlinearly stable for the free boundary problem under the large initial perturbations for any γ 〉 1 with V being the adiabatic exponent provided that the wave strength is suitably small.In this article, we investigate the global stability of the wave patterns with the superposition of viscous contact wave and rarefaction wave for the one-dimensional compressible Navier-Stokes equations with a free boundary. It is shown that for the ideal polytropic gas, the superposition of the viscous contact wave with rarefaction wave is nonlinearly stable for the free boundary problem under the large initial perturbations for any γ 〉 1 with V being the adiabatic exponent provided that the wave strength is suitably small.

关 键 词：Compressible Navier-Stokes system free boundary combination of viscous contact and rarefaction wave nonlinear stability 

分 类 号：O175[理学—数学]