A Regularity Criterion for the Navier-Stokes Equations with Damping in Terms of One Directional Derivative of the Velocity Field in BMO Space
Abstract
In this paper, we consider we consider the regularity problem for the weak solutions to the Navier-Stokes equations with damping term in 3 . We establish a regularity criterion in terms of the derivative of the velocity in one direction for this problem in BMO space.
Keywords
Navier-stokes equations, Regularity criterion, Weak solutions, Strong solutions, BMO space.
DOI
10.12783/dtmse/ammme2016/6947
10.12783/dtmse/ammme2016/6947
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