THE STRONG INVISCID LIMIT OF THE ISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH NAVIER BOUNDARY CONDITIONS

被引：24

作者：

Paddick, Matthew ^{[1
]}

机构：

[1] Univ Paris 06, Sorbonne Univ, CNRS UMR 7598, Lab Jacques Louis Lions, 4 Pl Jussieu, F-75005 Paris, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 05期

关键词：

Compressible Navier-Stokes equations; Navier (slip) boundary condition; conormal Sobolev spaces; inviscid limit problem; VANISHING VISCOSITY LIMIT; INCOMPRESSIBLE LIMIT; BOLTZMANN-EQUATION; FOURIER SYSTEM; SLIP; DOMAIN; LAYERS; EXISTENCE; FLOW; DENSITY;

D O I：

10.3934/dcds.2016.36.2673

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain existence and conormal Sobolev regularity of strong solutions to the 3D compressible isentropic Navier-Stokes system on the half-space with a Navier boundary condition, over a time that is uniform with respect to the viscosity parameters when these are small. These solutions then converge globally in space and strongly in L-2 towards the solution of the compressible isentropic Euler system when the viscosity parameters go to zero.

引用

页码：2673 / 2709

页数：37

共 48 条

[1]

Ancona F., 2006, WASCOM 2005 13 C WAV, P13

[2] EXISTENCE AND UNIQUENESS OF SOLUTION TO BIDIMENSIONAL EULER EQUATION [J].