Weak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time dependent domains

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:254

Article

Feireisl, Eduard¹  Kreml, Ondrej¹  Necasova, Sarka¹  Neustupa, Jiri¹  Stebel, Jan¹ 

[1] Acad Sci Czech Republic, Inst Math, CR-11567 Prague 1, Czech Republic

关键词: Compressible Navier-Stokes equations;    Time-varying domain;    Slip boundary conditions;   

DOI  :  10.1016/j.jde.2012.08.019

来源: Elsevier

【 摘 要 】

We consider the compressible (barotropic) Navier-Stokes system on time dependent domains, supplemented with slip boundary conditions. Our approach is based on penalization of the boundary behavior, viscosity, and the pressure in the weak formulation. Global-in-time weak solutions are obtained. (c) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free