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Two new regularity criteria for the 3D Navier-Stokes equations via two entries of the velocity gradient tensor. (English) Zbl 1257.35146

Summary: We consider the Cauchy problem for the incompressible Navier-Stokes equations in \(\mathbb R ^{3}\), and provide two new regularity criteria involving only two entries of the Jacobian matrix of the velocity field.

MSC:

35Q30 Navier-Stokes equations
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
76D05 Navier-Stokes equations for incompressible viscous fluids
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