A Regularity Criterion for the Navier-Stokes Equations with Damping in Terms of One Directional Derivative of the Velocity Field in BMO Space

Jian-lin ZHANG, Yu-ming QIN

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

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