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arXiv · 1909.00630

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

Quanrong Li·Shijin Ding
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Abstract

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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Quanrong Li, Shijin Ding. 2019-09-02. Global well-posedness of the Navier-Stokes equations with Navier-slip boundary conditions in a strip domain. https://arxiv.org/abs/1909.00630

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