@Article{JPDE-32-1,
author = {Yang, Xin-Guang and Wang, Shubin},
title = {Well-Posedness for the 2D Non-Autonomous Incompressible Fluid Flow in Lipschitz-like Domain},
journal = {Journal of Partial Differential Equations},
year = {2019},
volume = {32},
number = {1},
pages = {77--92},
abstract = {<p>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.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v32.n1.6},
url = {https://global-sci.com/article/88176/well-posedness-for-the-2d-non-autonomous-incompressible-fluid-flow-in-lipschitz-like-domain}
}