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

作者机构：School of Mathematics and StatisticsHubei Key Laboratory of MathematicalCentral China Normal UniversityWuhan 430079China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2023年第43卷第6期

页      面：2533-2552页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 0701[理学-数学] 

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

主　　题：zero dissipation limit vacuum reacting mixture Navier-Stokes equations 

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.