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On Prodi-Serrin type conditions for the 3D Navier-Stokes equations. (English) Zbl 1433.35240

Summary: In this paper we prove several new Prodi-Serrin type regularity criteria with weak Lebesgue integrability in both space and time for the 3D Navier-Stokes equations in the whole space.

MSC:

35Q30 Navier-Stokes equations
35B65 Smoothness and regularity of solutions to PDEs
76D05 Navier-Stokes equations for incompressible viscous fluids
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
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