On the asymptotic behaviour of solutions of the stationary Navier-Stokes equations in dimension 3
type: Item
instance of: scholarly article
title: On the asymptotic behaviour of solutions of the stationary Navier-Stokes equations in dimension 3
zbMATH Open document ID: 1373.35216
author: Agathe Decaster
author: Dragoş Iftimie
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 2017-02-21T00:00:00Z
review text: The paper deals with the incompressible steady three-dimensional Navier-Stokes equations with a body force both in the full space and in an exterior domain. The velocity vanishes at infinity. Since the pressure is uniquely determined by the body force and the velocity up to an additive constant, under solution of the system only the velocity is meant. The aim of the paper is to study the asymptotic behavior of the solutions at infinity when the body force has the special form. Namely, the asymptotic behavior of the solutions with a body force, whose asymptotic behavior at infinity is homogeneous of degree \(-3\), is studied.
reviewed by: G. Jaiani
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 6687581
zbMATH Keywords: incompressible Navier-Stokes equations
zbMATH Keywords: steady
zbMATH Keywords: asymptotic behavior
MaRDI profile type: Publication
full work available at URL: j.anihpc.2015.12.002
OpenAlex ID: W2217740917
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DOI: 10.1016/J.ANIHPC.2015.12.002
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description: scientific article; zbMATH DE number 6687581