A priori bounds for the vorticity of axially symmetric solutions to the Navier-Stokes equations

Abstract

We obtain a pointwise, a priori bound for the vorticity of axially symmetric solutions to the three-dimensional Navier-Stokes equations. The bound is in the form of a reciprocal of a power of the distance to the axis of symmetry. This seems to be the first general pointwise upper bound established for the axially symmetric Navier-Stokes equations.

Article information

Source
Adv. Differential Equations Volume 15, Number 5/6 (2010), 531-560.

Dates
First available in Project Euclid: 18 December 2012