Global solution to a three-dimensional spherical piston problem for the relativistic Euler equations

被引：3

作者：

Lai, Geng ^{[1
]}

机构：

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

来源：

EUROPEAN JOURNAL OF APPLIED MATHEMATICS | 2022年 / 33卷 / 01期

关键词：

Relativistic Euler equations; spherical piston problem; shock wave; characteristic; CONIC SHOCK-WAVE; CONSERVATION-LAWS; RIEMANN SOLUTIONS; ENTROPY SOLUTIONS; EXISTENCE; STABILITY;

D O I：

10.1017/S0956792520000315

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The study of spherically symmetric motion is important for the theory of explosion waves. In this paper, we consider a 'spherical piston' problem for the relativistic Euler equations, which describes the wave motion produced by a sphere expanding into an infinite surrounding medium. We use the reflected characteristics method to construct a global piecewise smooth solution with a single shock of this spherical piston problem, provided that the speed of the sphere is a small perturbation of a constant speed.

引用

页码：1 / 26

页数：26

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