Estimates up to the boundary of a weak solution to the Navier–Stokes equation in a cube in dependence on eigenvalues of the rate of deformation tensor
Volume 70 / 2005
Banach Center Publications 70 (2005), 185-197
MSC: 35Q30, 76D05.
DOI: 10.4064/bc70-0-12
Abstract
We formulate sufficient conditions for regularity up to the boundary of a weak solution $\bf v$ in a subdomain $\Omega\times( t_1,t_2)$ of the time-space cylinder $\Omega\times( 0,T)$ by means of requirements on one of the eigenvalues of the rate of deformation tensor. We assume that $\Omega$ is a cube.
