Convergence of the relaxed compressible Navier-Stokes equations to the incompressible Navier-Stokes equations

被引：2

作者：

Ju, Qiangchang ^{[1
]}

Wang, Zhao ^{[1
,2
]}

机构：

[1] Inst Appl Phys & Computat Math, Beijing, Peoples R China

[2] China Acad Engn Phys, Grad Sch, Beijing, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 141卷

关键词：

Singular limits; Navier-Stokes equations; Revised Maxwell's law; Ill-prepared initial data; Local smooth solution; MACH NUMBER LIMIT; SYSTEMS;

D O I：

10.1016/j.aml.2023.108625

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the combined low Mach number and the relaxation limits of the isentropic compressible Navier-Stokes equations with revised Maxwell's law satisfying Galilean invariance. It is shown that, for the ill-prepared initial data, the solutions of the relaxed compressible Navier-Stokes equations converge to that of the incompressible Navier-Stokes equations as the Mach number and relaxation parameters tend to zero. (c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：7

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