Existence and properties of semidiscrete shock profiles for the isentropic gas dynamic system with gamma=3

摘要

We consider a semidiscrete kinetic scheme for the isentropic gas dynamic system with gamma = 3 which corresponds exactly to the "transport-collapse method" of Brenier. We show the existence of shock pro les for every admissible limit values. In addition we give properties of such profiles. [References: 9]