文章基本信息

标题：The delta-shock wave for the two variables of a class of Temple system
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作者：Guodong Wang ; Jia-Bao Liu ; Lin Zhao 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：250
DOI：10.1186/s13662-018-1708-6
语种：English
出版社：Hindawi Publishing Corporation
摘要：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.