Nonhomogeneous boundary value problem for the time periodic linearized Navier-Stokes system in a domain with outlet to infinity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:489

Article

Kaulakyte, Kristina¹  Pileckas, Konstantin¹ 

[1] Vilnius Univ, Inst Appl Math, Naugarduko Str 24, LT-03225 Vilnius, Lithuania

关键词: Linearized Navier-Stokes equations;    Time periodic solutions;    Nonhomogeneous boundary condition;    Outlets to infinity;    Nonzero flux;   

DOI  :  10.1016/j.jmaa.2020.124126

来源: Elsevier

【 摘 要 】

The time periodic linearized Navier-Stokes system (Stokes system) with nonhomogeneous boundary conditions is studied in a domain Omega which has a paraboloidal outlet to infinity. The time periodic boundary value a(x, t) is assumed to have a compact support and it is supposed that the flux of a over partial derivative Omega is nonzero. The existence and uniqueness of a weak solution is proved. The solution can have either finite or infinite Dirichlet integral depending on geometrical properties of the outlet to infinity. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free