The delta-shock wave for the two variables of a class of Temple system

Advances in Difference Equations

卷:2018

Guodong Wang¹  Lin Zhao¹  Jia-Bao Liu¹  Mingjun Hu¹ 

[1] School of Mathematics and Physics, Anhui Jianzhu University;

关键词: Temple class;    Riemann problem;    Delta-shock wave;    Generalized Riemann problem;   

DOI  :  10.1186/s13662-018-1708-6

来源: DOAJ

【 摘 要 】

Abstract We investigate the Riemann problem for one-dimensional Temple class, obtain the Riemann solutions containing delta-shock wave, and discover that each variable of this system contains the Dirac delta function in different region. By the interaction of the delta-shock wave with the elementary waves we present the generalized Riemann problem for this system and construct the global solutions. By studying the limits of the solutions as perturbed parameter ε approaches zero we observe that the Riemann solutions are stable for such perturbations of the initial data.

【 授权许可】

Unknown