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

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.