, Volume 1, Issue 4, pp 441-467

A regularity class for the Navier-Stokes equations in Lorentz spaces

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract.

We extend Serrin's regularity class for weak solutions of the Navier-Stokes equations to a larger class replacing the Lebesgue spaces by Lorentz spaces.

Received November 30, 2000; accepted January 16, 2001.