Formation of singularities of solutions to the compressible Euler equations for a Chaplygin gas

被引：7
|
作者：
Lai, Geng [1 ]
Zhu, Mi [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 129卷
基金：
中国国家自然科学基金;
关键词：
Compressible Euler equations; Chaplygin gas; Axisymmetric flow; Singularity formation; Characteristic decomposition; RIEMANN PROBLEM; AXISYMMETRICAL SOLUTIONS; GLOBAL EXISTENCE; SIMPLE WAVES;
D O I：
10.1016/j.aml.2022.107978
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies the formation of singularities in classical solutions to the compressible Euler equations for a Chaplygin gas. We give several sufficient conditions on the initial data to obtain that the density itself of the classical solutions to the Cauchy problem for both 1D Chaplygin gas equations and 2D axisymmetric Chaplygin gas equations blows up in finite time. (C) 2022 Elsevier Ltd. All rights reserved.
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