On anisotropic regularity criteria for the solutions to 3D Navier-Stokes equations

Abstrakt

In this short note we consider the 3D Navier--Stokes equations in the whole space, for an incompressible fluid. We provide sufficient conditions for the regularity of strong solutions in terms of certain components of the velocity gradient.

Klíčová slova

• Incompressible Navier--Stokes equations
• regularity of solution
• regularity criteria