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A refinement of the local Serrin-type regularity criterion for a suitable weak solution to the Navier-Stokes equations. (English) Zbl 1304.35502
This paper deals with the local regularity od suitable weak solutions to the Navier-Stokes equations. The author establish a new local regularity criterion which impose only a Serrin-type integrability condition on velocity in a backward neighbourhood of the point $$(x_0, t_0)$$, intersected with the exterior of a certain space-time paraboloid with vertex at point $$(x_0, t_0)$$.
Reviewer: Cheng He (Beijing)

##### MSC:
 35Q30 Navier-Stokes equations 35D30 Weak solutions to PDEs 76D05 Navier-Stokes equations for incompressible viscous fluids 35B65 Smoothness and regularity of solutions to PDEs
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##### References:
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