Resumen de Direction of vorticity and a new regularity criterion for the Navier-Stokes equations

Y. Zhou

• In this paper, we prove a new regularity criterion in terms of the direction of vorticity for the weak solution to 3-D incompressible Navier-Stokes equations. Under the framework of Constantin and Fefferman, a more relaxed regularity criterion in terms of the direction of vorticity is established.