Optimal weighted estimates of the flows in exterior domains
type: Item
instance of: scholarly article
title: Optimal weighted estimates of the flows in exterior domains
zbMATH Open document ID: 1193.35122
author: Hyeong-Ohk Bae
author: Jaiok Roh
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-07-13T00:00:00Z
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 5736454
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: temporal-spatial decay
zbMATH Keywords: strong solution
zbMATH Keywords: exterior domain
MaRDI profile type: Publication
full work available at URL: j.na.2010.04.067
OpenAlex ID: W1971275984
cites work: Asymptotic behavior for the Navier-Stokes equations in 2D exterior domains
cites work: Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains
cites work: Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains. II
cites work: Solutions of the stationary and nonstationary Navier-Stokes equations in exterior domains
cites work: On stability of exterior stationary Navier-Stokes flows
cites work: \(L_ q-L_ r\) estimates for solutions of the nonstationary Stokes equation in an exterior domain and the Navier-Stokes initial value problems in \(L_ q\) spaces
cites work: Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
cites work: Decay properties of strong solutions for the Navier-Stokes equations in two-dimensional unbounded domains
cites work: On \(L^1\)-summability and asymptotic profiles for smooth solutions to Navier-Stokes equations in a 3D exterior domain
cites work: Q4551575
cites work: Weighted estimates for the incompressible fluid in exterior domains
cites work: Weighted estimates for nonstationary Navier-Stokes equations in exterior domains
cites work: TEMPORAL AND SPATIAL DECAY RATES OF NAVIER-STOKES SOLUTIONS IN EXTERIOR DOMAINS
cites work: On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain
cites work: Remark on the \(L_q-L_\infty\) estimate of the Stokes semigroup in a 2-dimensional exterior domain
cites work: Dynamics of evolutionary equations
cites work: Geometric theory of semilinear parabolic equations
cites work: Asymptotic behaviour in \(L^ r\) for weak solutions of the Navier-Stokes equations in exterior domains
cites work: Stability for the 3D Navier-Stokes equations with nonzero far field velocity on exterior domains
DOI: 10.1016/J.NA.2010.04.067
description: scientific article; zbMATH DE number 5736454