最大密度限制下可压等熵欧拉系统含接触间断时可容许弱解的不唯一性

The Non-Uniqueness of Admissible Weak Solutions to Compressible Isentropic Euler Systems Containing Contact Discontinuities with Maximum Density Constraints

本文主要研究具有最大密度限制的可压等熵欧拉系统二维黎曼问题弱解的不唯一性。其中,密度限制是由奇性压强项给定的。对给定初值使得其标准解(自相似解)包含接触间断时,得到了无穷多可容许弱解的存在性。

We investigate the uniqueness of entropy solution to 2D Riemann problem of compressible isen-tropic Euler system with maximum density constraint. The constraint is imposed with a singular pressure. Given initial data for which the standard (self-similar) solution consists of contact dis-continuity, there exist infinitely many admissible weak solutions.