The limit Riemann solutions to nonisentropic Chaplygin Euler equations

Open Mathematics

Lin Maozhou¹  Guo Lihui¹ 

[1] College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, P. R. China;

关键词: nonisentropic fluids;    riemann solutions;    delta shock;    vacuum state;    entropy inequality;    35l65;    35l67;    76n15;   

DOI  :  10.1515/math-2020-0113

来源: DOAJ

【 摘 要 】

We mainly consider the limit behaviors of the Riemann solutions to Chaplygin Euler equations for nonisentropic fluids. The formation of delta shock wave and the appearance of vacuum state are found as parameter ε\varepsilontends to a certain value. Different from the isentropic fluids, the weight of delta shock wave is determined by variance density ρ\rhoand internal energy H. Meanwhile, involving the entropy inequality, the uniqueness of delta shock wave is obtained.

【 授权许可】

Unknown