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Remarks on the Regularity Criterion of the Navier-Stokes Equations with Nonlinear Damping
2015
Mathematical Problems in Engineering
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This paper is concerned with the regularity criterion of weak solutions to the three-dimensional Navier-Stokes equations with nonlinear damping in critical weakLqspaces. 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].
doi:10.1155/2015/310934
fatcat:43qxr7lm5fehrjamnppk2odkry