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On the regularity criteria of the 3D Navier-Stokes equations in critical spaces. (English) Zbl 1240.35382

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:

35Q30 Navier-Stokes equations
76D05 Navier-Stokes equations for incompressible viscous fluids
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