remarks on the regularity criterion of the navier-stokes equations with nonlinear damping
;Weihua Wang;Guopeng Zhou
journal of power sources2015Vol. 2015pp. -
164
wang2015mathematicalremarks
Abstract
This paper is concerned with the regularity criterion of weak solutions to the three-dimensional Navier-Stokes equations with nonlinear damping in critical weak Lq spaces. It is proved that if the weak solution satisfies ∫0T∇u1Lq,∞2q/2q-3+∇u2Lq,∞2q/2q-3/1+lne+∇uL22ds<∞, q>3/2, then the weak solution of Navier-Stokes equations with nonlinear damping is regular on (0,T].