Regularity criteria with angular integrability for the Navier-Stokes equation

math.AP

/ Authors

/ Abstract

We give new a priori assumptions on weak solutions of the Navier-Stokes equation so as to be able to conclude that they are smooth. The regularity criteria are given in terms of mixed radial-angular weighted Lebesgue space norms.

Regularity criteria with angular integrability for the Navier-Stokes equation

math.AP

/ Authors

Renato Lucà

/ Abstract

We give new a priori assumptions on weak solutions of the Navier-Stokes equation so as to be able to conclude that they are smooth. The regularity criteria are given in terms of mixed radial-angular weighted Lebesgue space norms.