Inviscid limit for the compressible Navier-Stokes equations with density dependent viscosity

被引：0

作者：

Bisconti, Luca ^{[1
]}

Caggio, Matteo ^{[2
]}

机构：

[1] Univ Firenze, Dipartimento Matemat & Informat U Dini, Viale Morgagni 67-A, I-50134 Florence, Italy

[2] Acad Sci Czech Republ, Inst Math, Prague, Czech Republic

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2024年 / 390卷

关键词：

Compressible Navier-Stokes equations; Density dependent viscosity; Inviscid limit; Boundary layer; CHARACTERISTIC BOUNDARY-LAYERS; SUITABLE WEAK SOLUTIONS; MACH NUMBER LIMIT; ANALYTIC SOLUTIONS; RELATIVE ENTROPY; EULER-KORTEWEG; HALF-SPACE; EXISTENCE; FLUID; STABILITY;

D O I：

10.1016/j.jde.2024.01.045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the compressible Navier-Stokes system describing the motion of a barotropic fluid with density dependent viscosity confined in a three-dimensional bounded domain Q. We show the convergence of the weak solution to the compressible Navier-Stokes system to the strong solution to the compressible Euler system when the viscosity and the damping coefficients tend to zero. (c) 2024 Elsevier Inc. All rights reserved.

引用

页码：370 / 425

页数：56

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