SELF-SIMILAR SOLUTIONS OF THE SPHERICALLY SYMMETRIC EULER EQUATIONS FOR GENERAL EQUATIONS OF STATE

被引：0
|
作者：
Chen, Jianjun [1 ]
Lai, Geng [2 ]
机构：
[1] Zhejiang Univ Sci & Technol, Dept Math, Hangzhou 310023, Peoples R China
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2021年 / 19卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Compressible Euler equations; van der Waals gas; spherical symmetry; self-similar solution; RIEMANN PROBLEM; AXISYMMETRICAL SOLUTIONS;
D O I：
暂无
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 construct rigorously self-similar solutions to the Riemann problem of the spherically symmetric Euler equations for general equations of state. We use the assumption of self-similarity to reduce the spherically symmetric Euler equations to a system of nonlinear ordinary differential equations, from which we obtain detailed structures of solutions besides their existence.
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页码：1991 / 2018
页数：28
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