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Zbl 1240.35382
Dong, Boqing; Gala, Sadek; Chen, Zhimin
On the regularity criteria of the 3D Navier-Stokes equations in critical spaces. (English)
[J] Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 2, 591-600 (2011). ISSN 0252-9602

Summary: 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, $\partial_1 u_1,\partial_2 u_2$, of velocity fields.

MSC 2000:: *35Q30 Stokes and Navier-Stokes equations
76D05 Navier-Stokes equations (fluid dynamics)

Keywords: regularity criteria; Navier-Stokes equations

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Zentralblatt MATH Berlin [Germany]