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  • 标题:The delta-shock wave for the two variables of a class of Temple system
  • 本地全文:下载
  • 作者:Guodong Wang ; Jia-Bao Liu ; Lin Zhao
  • 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.
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