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.

引用

页码：1991 / 2018

页数：28

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