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.
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)
基金
supported by the National Natural Science Foundation of China (11971193 and 12171001)。
作者简介
苌生闯,E-mail:csc981020@163.com;Corresponding author:段然,E-mail:duanran@mail.ccnu.edu.cn。