Dong, Boqing; Gala, Sadek; Chen, Zhimin On the regularity criteria of the 3D Navier-Stokes equations in critical spaces. (English) Zbl 1240.35382 Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 2, 591-600 (2011). 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. Cited in 14 Documents MSC: 35Q30 Navier-Stokes equations 76D05 Navier-Stokes equations for incompressible viscous fluids Keywords:regularity criteria; Navier-Stokes equations PDFBibTeX XMLCite \textit{B. Dong} et al., Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 2, 591--600 (2011; Zbl 1240.35382) Full Text: DOI