On a theorem by Sohr for the Navier-Stokes equations
type: Item
instance of: scholarly article
title: On a theorem by Sohr for the Navier-Stokes equations
zbMATH Open document ID: 1058.35054
author: Luigi C. Berselli
author: Renato Manfrin
published in: Journal of Evolution Equations
publication date: 2004-09-27T00:00:00Z
review text: The authors study some criteria for the full (space-time) regularity of weak solutions to the Navier-Stokes equations. In particular, some classical and very recent criteria involving the velocity, or its derivates are generalized. More spoecifically, it is shown with elementary tools that if a weak solution, or its vorticity, is small in appropriate Marcinkiewicz spaces, then it is regular.
reviewed by: Titus Petrila
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35D10
zbMATH DE Number: 2103744
zbMATH Keywords: full space-time regularity
zbMATH Keywords: Marcinkiewicz spaces
MaRDI profile type: Publication
full work available at URL: s00028-003-1135-2
OpenAlex ID: W2049386913
DOI: 10.1007/S00028-003-1135-2
description: scientific article; zbMATH DE number 2103744