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.
作者
贾艺菲
郭俐辉
白寅松
JIA Yi-fei;GUO Li-hui;BAI Yin-song(School of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,Xinjiang,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
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)。
