Global well-posedness of the Navier-Stokes equations with Navier-slip boundary conditions in a strip domain | Zendy

Quanrong Li | Zendy; Shijin Ding | Zendy

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Global 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 andamp 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.

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