ZERO DISSIPATION LIMIT TO A RAREFACTION WAVE WITH A VACUUM FOR A COMPRESSIBLE,HEAT CONDUCTING REACTING MIXTURE  

作　　者：苌生闯 段然 Shengchuang Chang;Ran Duan(School of Mathematics and Statistics,Hubei Key Laboratory of Mathematical,Central China Normal University,Wuhan 430079,China)

机构地区：[1]School of Mathematics and Statistics,Hubei Key Laboratory of Mathematical,Central China Normal University,Wuhan 430079,China

出　　处：《Acta Mathematica Scientia》2023年第6期2533-2552,共20页数学物理学报（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China (11971193 and 12171001)。

摘　　要：In this paper,we study the zero dissipation limit with a vacuum for the reacting mixture Navier-Stokes equations.For proper smooth initial data that the initial density tends to zero as the relevant physical coefficients tend to zero,we demonstrate that the solution tends to a rarefaction wave connected to a vacuum on the left side coupled with a zero mass fraction of reactant.What is more,the uniform convergence rate is obtained.

关 键 词：zero dissipation limit VACUUM reacting mixture Navier-Stokes equations 

分 类 号：O211.4[理学—概率论与数理统计]