On the compressible viscous barotropic flows subject to large external potential forces in a half space with Navier's boundary conditions

This paper is concerned with an initial and boundary value problem of the Navier‐Stokes equations for compressible viscous barotropic flow subject to large external potential forces in a half space ℝ+3 with Navier's boundary conditions. The global well‐posedness of strong solutions with large o...

Full description

Saved in:
Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 44; no. 5; pp. 3705 - 3726
Main Authors Song, Changzhen, Zhang, Jianwen
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 30.03.2021
Subjects
Barotropic flow
Boundary conditions
Boundary value problems
Compressibility
compressible Navier‐Stokes equations
Fluid dynamics
Fluid flow
global solutions
half space
large external potential forces
Navier's boundary conditions
Online AccessGet full text

Cover

More Information
Summary:This paper is concerned with an initial and boundary value problem of the Navier‐Stokes equations for compressible viscous barotropic flow subject to large external potential forces in a half space ℝ+3 with Navier's boundary conditions. The global well‐posedness of strong solutions with large oscillations and vacuum is established, provided that the initial energy is suitably small and that the unique steady state is strictly away from vacuum. As a by‐product, the stability of stationary solution is obtained.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.6975