无旋转Rankine-Hugoniot条件下的激波

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Quarterly of Applied Mathematics Pub Date : 2023-10-23 DOI:10.1090/qam/1682

Dening Li, Qingtian Zhang

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引用次数: 0

摘要

研究了激波锋条件为二阶非线性波动方程的欧拉系统等熵无旋流的激波稳定性。证明了通常的Lax激波条件仍然保证了均匀线性稳定性，因此激波解的存在性。

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Shock waves with irrotational Rankine-Hugoniot conditions

Shock wave stability for isentropic irrotational flow is studied for Euler system but with shock front conditions corresponding to the second order nonlinear wave equation. It is shown that the usual Lax’ shock condition still guarantees the uniform linear stability and therefore the existence of the shock waves solution.

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来源期刊

Quarterly of Applied Mathematics 数学-应用数学

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This journal, published quarterly by Brown University with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.