Global strong solution of the Navier-Stokes equations in 4 and 5 dimensional unbounded domains
type: Item
instance of: scholarly article
title: Global strong solution of the Navier-Stokes equations in 4 and 5 dimensional unbounded domains
zbMATH Open document ID: 0943.35067
DOI: 10.1016/S0294-1449(99)80027-4
author: Hideo Kozono
author: Hermann Sohr
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 1999-09-22T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78474
review text: This paper is devoted to the study of global strong solutions with small initial data of the Navier-Stokes equations in four- and five-dimensional unbounded domains. The authors give an explicit characterization of the time interval \((0,T)\), where the strong solution exists and then find a priori estimates to show \(T=\infty\) for small initial data. Considerable attention is given to asymptotic behavior of the global solution. Several theorems are proved with less emphasis on physical applications. However, this is an interesting paper.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 1339268
zbMATH Keywords: existence interval
zbMATH Keywords: a priori estimates
zbMATH Keywords: asymptotic behavior
reviewed by: Lokenath Debnath
MaRDI profile type: Publication
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OpenAlex ID: W2069133433
Wikidata QID: Q127725509
description: scientific article; zbMATH DE number 1339268