Year: 2019
Author: Xin-Guang Yang, Shubin Wang
Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 1 : pp. 77–92
Abstract
This paper is concerned with the global well-posedness and regularity of weak solutions for the 2D non-autonomous incompressible Navier-Stokes equation with a inhomogeneous boundary condition in Lipschitz-like domain. Using the estimate for governing steady state equation and Hardy’s inequality, the existence and regularity of global unique weak solution can be proved. Moreover, these results also hold for 2D Navier-Stokes equation with Rayleigh’s friction and Navier-Stokes-Voigt flow, but invalid for three dimension.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v32.n1.6
Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 1 : pp. 77–92
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Non-autonomous Navier-Stokes equation
Author Details
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Dynamics of the 2D Navier-Stokes equations with sublinear operators in Lipschitz-like domains
Yang, Xin-Guang
Wang, Rong-Nian
Yan, Xingjie
Miranville, Alain
Discrete & Continuous Dynamical Systems, Vol. 41 (2021), Iss. 7 P.3343
https://doi.org/10.3934/dcds.2020408 [Citations: 5]