Differential and Integral Equations

On the regularity criteria for the generalized Navier-Stokes equations and Lagrangian averaged Euler equations

Abstract

We obtain some regularity conditions for solutions of the 3D generalized Navier-Stokes equations with fractional powers of the Laplacian, in terms of the velocity, the vorticity, and the pressure in Besov space, Triebel-Lizorkin space, and Lorentz space, respectively. We also present a regularity condition for the 3D Lagrangian averaged Euler equations.

Article information

Source
Differential Integral Equations, Volume 21, Number 5-6 (2008), 443-457.

Dates
First available in Project Euclid: 20 December 2012