remarks on the regularity criterion of the navier-stokes equations with nonlinear damping

remarks on the regularity criterion of the navier-stokes equations with nonlinear damping

;Weihua Wang;Guopeng Zhou
journal of power sources 2015 Vol. 2015 pp. -
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+ln⁡e+∇uL22ds<∞,  q>3/2, then the weak solution of Navier-Stokes equations with nonlinear damping is regular on (0,T].

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162629
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10.1155/2015/310934
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