Open AccessGlobal well-posedness of the Navier-Stokes equations with Navier-slip boundary conditions in a strip domain
Author(s) -
Quanrong Li,
Shijin Ding
Publication year - 2021
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2021121
Subject(s) - uniqueness , navier–stokes equations , sobolev space , slip (aerodynamics) , compressibility , mathematical analysis , mathematics , boundary value problem , nirenberg and matthaei experiment , domain (mathematical analysis) , physics , mechanics , thermodynamics
This paper is concerned with the existence and uniqueness of the strong solution to the incompressible Navier-Stokes equations with Navier-slip boundary conditions in a two-dimensional strip domain where the slip coefficients may not have defined sign. In the meantime, we also establish a number of Gagliardo-Nirenberg inequalities in the corresponding Sobolev spaces which will be applicable to other similar situations.