Structural stability of Riemann solutions for strictly hyperbolic systems with three piecewise constant states

Electronic Journal of Differential Equations

卷:2016

Xuefeng Wei¹  Chun Shen¹ 

[1] Ludong Univ., Yantai, Shandong, China ;

关键词: Delta shock wave;    wave interaction;    Riemann problem;    strict hyperbolicity;   

DOI  :  

来源: DOAJ

【 摘 要 】

This article concerns the wave interaction problem for a strictly hyperbolic system of conservation laws whose Riemann solutions involve delta shock waves. To cover all situations, the global solutions are constructed when the initial data are taken as three piecewise constant states. It is shown that the Riemann solutions are stable with respect to a specific small perturbation of the Riemann initial data. In addition, some interesting nonlinear phenomena are captured during the process of constructing the solutions, such as the generation and decomposition of delta shock waves.

【 授权许可】

Unknown