Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations.
type: Item
instance of: scholarly article
title: Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations.
zbMATH Open document ID: 1057.35026
DOI: 10.4171/RMI/387
author: Lorenzo Brandolese
published in: Revista Matemática Iberoamericana
publication date: 2004-09-28T00:00:00Z
full work available at URL: https://eudml.org/doc/39636
review text: The aim of the paper is to construct, in any dimension \(n\geq 2\), a class of solutions of the Navier-Stokes equations such that the energy norm decays at infinity larger than \(t^{-(n+2)/4}\). To this end the author studies the large time behaviour of the energy of a class of Navier-Stokes flows with special symmetries in the initial data which are preserved in the solution. In particular, initial data is considered where the components of the initial velocity vector can be obtained one from the other by rotating the space variables.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 2104145
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: energy estimates
zbMATH Keywords: symmetric weak solutions
zbMATH Keywords: large time behaviour
reviewed by: Uwe Kähler
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2104145