Journal of Evolution Equations

, Volume 1, Issue 4, pp 441–467

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


  • Hermann Sohr
    • Fachbereich Mathematik-Informatik, Universität-GH, Warburger Str. 100, 33098 Paderborn, e-mail:

DOI: 10.1007/PL00001382

Cite this article as:
Sohr, H. J.evol.equ. (2001) 1: 441. doi:10.1007/PL00001382


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.

Key words: Navier-Stokes equations, weak solutions, regularity.

Copyright information

© Birkhäuser Verlag Basel, 2001