Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations
type: Item
instance of: scholarly article
title: Log improvement of the Prodi-Serrin criteria for Navier-Stokes equations
zbMATH Open document ID: 1198.35175
author: Chi Hin Chan
author: Alexis F. Vasseur
published in: Methods and Applications of Analysis
publication date: 2008-08-28T00:00:00Z
full work available at URL: https://arxiv.org/abs/0705.3659
full work available at URL: https://projecteuclid.org/euclid.maa/1215442823
review text: The authors consider a Log improvement of Prodi-Serrin criterion for global regularity solutions to Navier-Stokes equations in the space, provided the exponents in the Prodi-Serrin criterion are equal to five. The conclusion is that any weak solution to the system satisfying appropriate hypothesis must be smooth for any time and location.
reviewed by: Mariano Rodríguez Ricard
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 5317405
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: regularity criterion
zbMATH Keywords: a priori estimates
zbMATH Keywords: Prodi-Serrin criterion
MaRDI profile type: Publication
arXiv ID: 0705.3659
DOI: 10.4310/MAA.2007.V14.N2.A5
description: scientific article