In this paper, we prove some optimal regularity criteria for the 3D incompressible Navier–Stokes equations involving the gradient of one velocity component.

In this paper, we establish an anisotropic regularity criterion for the 3D incompressible Navier-Stokes equations. It is proved that a weak solution u is ...

The anisotropic regularity criterion for the Navier–Stokes equations in terms of the one component of the velocity gradient (∂iuj,1≤i,j≤3) is investigated.

In this paper, we establish an anisotropic regularity criterion for the 3D incompressible Navier-Stokes equations. It is proved that a weak solution u is ...

Anisotropic Prodi–Serrin regularity criteria for the 3D Navier–Stokes equations involving the gradient of one velocity component.

We study regularity criteria of weak solutions to the three dimensional (3d) incompressible Navier–Stokes equations, and provide several Prodi-Serrin type ...

Oct 10, 2017 · An almost Serrin-type regularity criterion for the Navier–Stokes equations involving the gradient of one velocity component. Article 17 ...

Dec 11, 2009 · We improve the regularity criterion for the incompressible Navier–Stokes equations in the full three-dimensional space involving the ...

Oct 29, 2014 · Zhang; A remark on the regularity criterion for the 3D Navier-Stokes equations involving the gradient of one velocity component, J. Math. Anal.

Sep 28, 2010 · In this short note we consider the 3D Navier–Stokes equations in the whole space, for an incompressible fluid.