具有麦克斯韦定律的一维可压缩Navier-Stokes方程的粘性激波线性稳定性

IF 0.9 4区数学 Q3 MATHEMATICS, APPLIED

Quarterly of Applied Mathematics Pub Date : 2022-01-10 DOI:10.1090/qam/1608

Yuxi Hu, Zhao Wang

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引用次数: 1

摘要

本文用麦克斯韦定律研究一维可压缩等熵Navier-Stokes方程行波解的线性稳定性。利用线性化系统的冲击剖面初始数据建立了行波解的全局稳定性。对反导数和一些精细能量方法进行了探索，以获得预期的结果。此外，还得到了行波解的弛豫极限。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Linear stability of viscous shock wave for 1-D compressible Navier-Stokes equations with Maxwell’s law

In this paper, we consider the linear stability of traveling wave solutions for one-dimensional compressible isentropic Navier-Stokes equations with Maxwell’s Law. The global stability of traveling wave solution is established with shock-profile initial data for the linearized system. Anti-derivative and some delicate energy methods are explored to get the desired results. Moreover, the relaxation limit of traveling wave solution is also obtained.

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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.