相对论Chaplygin气体欧拉方程组的阴影波解  

Shadow wave solution for the relativistic Chaplygin Euler equations

作　　者：贾艺菲 郭俐辉[1] 白寅松 JIA Yi-fei;GUO Li-hui;BAI Yin-song(School of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,Xinjiang,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《山东大学学报（理学版）》2022年第4期55-65,共11页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11761068);新疆维吾尔自治区自然科学基金资助项目(2019Q015,2017D01C053)。

摘　　要：研究了相对论Chaplygin气体欧拉方程组的阴影波解的存在性,利用超压缩熵条件确定了阴影波解的弱唯一性,最后在Schwartz广义函数意义下,证明了超压缩阴影波解收敛到delta激波解。The main purpose of this article is to construct the shadow wave solution of the relativistic Chaplygin Euler equations.To ensure the weak uniqueness of the shadow wave solution,the over-compressive entropy condition is used as the admissibility criteria.Finally,in the sense of Schwartz generalized function,it is proved that the over-compressive shadow wave solution converges to the delta shock wave solution.

关 键 词：相对论欧拉方程组 Chaplygin气体 阴影波 delta激波 

分 类 号：O175.27[理学—数学]