Acta mathematica scientia, Series B >
ON THE REGULARITY CRITERIA OF THE 3D NAVIER-STOKES EQUATIONS IN CRITICAL SPACES
Received date: 2009-08-25
Online published: 2011-03-20
Supported by
The work is partially supported by the NSF of China (10801001), NSF of Anhui Province (11040606M02) and is also financed by the 211 Project of Anhui University (KJTD002B, KJJQ005)
Regularity criteria of Leray-Hopf weak solutions to the three-dimensional Navier-Stokes equations in some critical spaces such as Lorentz space, Morrey space and multiplier space are derived in terms of two partial derivatives, ∂1u1, ∂2u2, of velocity fields.
Key words： Regularity criteria; Navier-Stokes equations
DONG Bai-Qing , Sadek Gala , CHEN Zhi-Min . ON THE REGULARITY CRITERIA OF THE 3D NAVIER-STOKES EQUATIONS IN CRITICAL SPACES[J]. Acta mathematica scientia, Series B, 2011 , 31(2) : 591 -600 . DOI: 10.1016/S0252-9602(11)60259-2
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