Asymptotic stability for viscous fluid motion in exterior domains
type: Item
instance of: scholarly article
title: Asymptotic stability for viscous fluid motion in exterior domains
zbMATH Open document ID: 0632.76033
DOI: 10.1007/BF01766587
author: P. Maremonti
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1985-01-01T00:00:00Z
review text: Some asymptotic stability results for Navier-Stokes fluid filling an exterior domain are shown in this paper. Author proves that the energy of perturbations tends to zero as \(t\to \infty\), providing that the viscosity is sufficiently large, the energy at initial time is bounded and Reynolds number is sufficiently small. Aim of this work is to solve a problem that \textit{J. Leray} emphasized in a paper published in Acta Math. 63, 193-248 (1934). The result seems to be also promising for developing some stable numerical methods for external problems for Navier-Stokes equations.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 4029111
zbMATH Keywords: asymptotic stability results
zbMATH Keywords: Navier-Stokes fluid
zbMATH Keywords: exterior domain
zbMATH Keywords: energy of perturbations
zbMATH Keywords: stable numerical methods
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4029111