数学杂志2019，Vol.39Issue(4)：504-528,25.
延拓Chaplygin气体黎曼解的流逼近极限过程中的集中性研究
CONCENTRATION IN THE FLUX APPROXIMATION LIMIT OF RIEMANN SOLUTIONS TO THE EXTENDED CHAPLYGIN GAS EQUATIONS
摘要
Abstract
In this paper,two kinds of occurrence mechanism on the phenomenon of concentration and the formation of delta shock waves in the flux approximation limit of Riemann solutions to the extended Chaplygin gas equations are analyzed.By phase plane analysis and generalized characteristic analysis,we construct the Riemann solution to the extended Chaplygin gas equations completely and obtain two results:on one hand,as the pressure vanishes,any two-shock Riemann solution to the extended Chaplygin gas equations tends to a δ-shock solution to the transportation equation;on the other hand,as the pressure approaches the generalized Chaplygin pressure,any two-shock Riemann solution tends to a δ-shock solution to the generalized Chaplygin gas equations,which generalize to the extended Chaplygin gas.关键词
延拓Chaplygin气体/狄拉克激波/流逼近极限/黎曼解/输运方程/广义Chaplygin气体Key words
extended Chaplygin gas/δ-shock wave/flux approximation limit/Riemann solutions/transportation equations/generalized Chaplygin gas分类
数理科学引用本文复制引用
张庆玲..延拓Chaplygin气体黎曼解的流逼近极限过程中的集中性研究[J].数学杂志,2019,39(4):504-528,25.基金项目
Supported by Teaching and Research Project of Wuhan (2017007). （2017007）
