Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the half-space
type: Item
instance of: scholarly article
title: Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the half-space
zbMATH Open document ID: 1027.35089
author: Yoshiko Fujigaki
author: Tetsuro Miyakawa
published in: Methods and Applications of Analysis
publication date: 2002-06-19T00:00:00Z
review text: This paper studies the behaviour as \(t\) tends to infinity of weak and strong solutions to the nonstationary incompressible Navier-Stokes system in the upper \(n\)-dimmensional real half-space. The aim is to find asymptotic profiles of Navier-Stokes flows under some specific conditions on the initial velocities. The main result (Theorem 3.5), which does not exhibit boundary effects, leads to an asymptotic expansion involving only the normal derivatives of Gaussian-like functions. The expansion is then applied to the analysis of the modes of energy decay of Navier-Stokes flows in the half-space, and it is proved the existence of a lower bound of rates of decay.
reviewed by: Titus Petrila
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 1757337
zbMATH Keywords: asymptotic profiles
zbMATH Keywords: nonstationary Navier-Stokes flows
zbMATH Keywords: energy decay
MaRDI profile type: Publication
DOI: 10.4310/MAA.2001.V8.N1.A6
description: scientific article; zbMATH DE number 1757337