Riemann problem and wave interactions for the one-dimensional relativistic string equation in Minkowski space

被引：3

作者：

Liu, Jianli ^{[1
]}

Liu, Ruixi ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 486卷 / 02期

关键词：

Riemann problem; Relativistic string equation; Delta shock wave; Wave interactions; DELTA SHOCK-WAVES; HYPERBOLIC SYSTEMS; INITIAL DATA;

D O I：

10.1016/j.jmaa.2020.123932

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Riemann problem for the one-dimensional relativistic string equation in Minkowski space. It is shown that the delta shock wave will be constructed in the Riemann solutions in some certain situations. Furthermore, the interactions of elementary waves including contact discontinuity and delta shock wave are obtained. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：13

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