Singularity for the one-dimensional rotating Euler equations of Chaplygin gases

被引：6
|
作者：
Lv, Ping [1 ]
Hu, Yanbo [1 ]
机构：
[1] Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2023年 / 138卷
关键词：
Rotating Euler equations; Chaplygin gas; Singularity; Characteristic decomposition; GLOBAL EXISTENCE; RIEMANN PROBLEM; SHALLOW-WATER; CLASSICAL-SOLUTIONS; SMOOTH SOLUTIONS; PROPAGATION;
D O I：
10.1016/j.aml.2022.108511
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is focused on the singularity formation of smooth solutions for the one-dimensional rotating Euler equations of Chaplygin gases, which is a nonho-mogeneous quasilinear hyperbolic system with linearly degenerate characteristic fields. We overcome the influence of the rotation terms and show that the density itself of the smooth solution tends to infinity in finite time for a kind of initial data. (c) 2022 Elsevier Ltd. All rights reserved.
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页数：7
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