Article Contents
Article Contents

Sufficient conditions for the regularity to the 3D Navier-Stokes equations

• In this paper we consider the three-dimensional Navier-Stokes equations subject to periodic boundary conditions or in the whole space. We provide sufficient conditions, in terms of one direction derivative of the velocity field, namely, $u_z$, for the regularity of strong solutions to the three-dimensional Navier-Stokes equations.
Mathematics Subject Classification: Primary: 35Q35, 65M70.

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