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

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ID: 162629
2015
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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].
Reference Key
wang2015mathematicalremarks Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Weihua Wang;Guopeng Zhou
Journal journal of power sources
Year 2015
DOI
10.1155/2015/310934
URL
http://dx.doi.org/10.1155/2015/310934
Keywords
civil engineering (general)mathematics engineering (general)

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