THE STABILITY OF THE DELTA WAVE TO PRESSURELESS EULER EQUATIONS WITH VISCOUS AND FLUX PERTURBATIONS  

作　　者：Sijie LIU Wancheng SHENG 刘思杰;盛万成(Department of Mathematics,Shanghai University,Shanghai200444,China)

机构地区：[1]Department of Mathematics,Shanghai University,Shanghai200444,China

出　　处：《Acta Mathematica Scientia》2022年第4期1519-1535,共17页数学物理学报（B辑英文版）

基　　金：Supported by NSFC(12171305)。

摘　　要：This paper is concerned with the pressureless Euler equations with viscous and flux perturbations.The existence of Riemann solutions to the pressureless Euler equations with viscous and flux perturbations is obtained.We show the stability of the delta wave of the pressureless Euler equations to the perturbations;that is,the limit solution of the pressureless Euler equations with viscous and flux perturbations is the delta wave solution of the pressureless Euler equations as the viscous and flux perturbation simultaneously vanish in the case u_(-)> u_(+).

关 键 词：Pressureless Euler equations stability of the delta wave viscous perturbation and flux perturbation 

分 类 号：O175[理学—数学]