文章基本信息

标题：A new variation for the relativistic Euler equations
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作者：Mahmoud A. E. Abdelrahman ; Hanan A. Alkhidhr
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1
DOI：10.1186/s13662-020-02990-6
出版社：Hindawi Publishing Corporation
摘要：The Glimm scheme is one of the so famous techniques for getting solutions of the general initial value problem by building a convergent sequence of approximate solutions. The approximation scheme is based on the solution of the Riemann problem. In this paper, we use a new strength function in order to present a new kind of total variation of a solution. Based on this new variation, we use the Glimm scheme to prove the global existence of weak solutions for the nonlinear ultra-relativistic Euler equations for a class of large initial data that involve the interaction of nonlinear waves.
关键词：35B40 ; 35L45 ; 35L65 ; 76Y05