Asymptotic behavior for the Navier-Stokes equations in 2D exterior domains
type: Item
instance of: scholarly article
title: Asymptotic behavior for the Navier-Stokes equations in 2D exterior domains
zbMATH Open document ID: 1115.35095
author: Hyeong-Ohk Bae
author: Bum Ja Jin
published in: Journal of Functional Analysis
publication date: 2007-01-09T00:00:00Z
review text: The authors study \(L^p\) spatial-temporal decay rates of incompressible flow in an 2D exterior domain. If the domain has a boundary, ther is not enough information on the pressure term near the boundary. To overcome this difficulty they adopt ideas of C. He and H.-O. Bae. To obtain a spatial decay rate estimate, the authors first extend the temporal decay rate result for the Navier-Stokes solutions to the whole \(L^p\) space when the initial velocity is in \(L^2_\sigma\cap L^r\), \(1<r\leq q<\infty\) \((1< r<q =\infty)\).
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 5083459
zbMATH Keywords: 2D Navier-Stokes equations
zbMATH Keywords: temporal-spatial decay rate
zbMATH Keywords: exterior domain
MaRDI profile type: Publication
full work available at URL: j.jfa.2006.04.029
OpenAlex ID: W2009184303
cites work: Analyticity and asymptotics for the Stokes solutions in a weighted space
cites work: Temporal decays in \(L^1\) and \(L^{\infty}\) for the Stokes flow
cites work: Decay rate for the incompressible flows in half spaces
cites work: Upper and lower bounds of temporal and spatial decays for the Navier-Stokes equations
cites work: Temporal and spatial decays for the Navier–Stokes equations
cites work: Asymptotic behavior of Stokes solutions 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: \(L^ 2\)-decay for Navier-Stokes flows in unbounded domains, with application to exterior stationary flows
cites work: Space-time decay of Navier-Stokes flows invariant under rotations
cites work: On the \(L_q-L_r\) estimates of the Stokes semigroup in a two-dimensional exterior domain
cites work: Remark on the \(L_q-L_\infty\) estimate of the Stokes semigroup in a 2-dimensional exterior domain
cites work: Global estimates in weighted spaces of weak solutions of the Navier-Stokes equations in exterior domains
cites work: Asymptotic profiles of nonstationary incompressible Navier-Stokes flows in the whole space
cites work: Q4292463
cites work: Monotonic decreasing and asymptotic behavior of the kinetic energy for weak solutions of the Navier-Stokes equations in exterior domains
cites work: Weighted estimates for nonstationary Navier-Stokes equations
cites work: Weighted estimates for nonstationary Navier-Stokes equations in exterior domains
cites work: Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
cites work: Two-dimensional Navier-Stokes flow in unbounded domains
cites work: Q5576913
cites work: Q4824302
cites work: On optimal decay rates for weak solutions to the Navier-Stokes equations in \(\mathbb R^n\)
cites work: Large time behaviour of solutions to the navier-stokes equations
cites work: Q4260791
cites work: A weighted equation approach to decay rate estimates for the Navier–Stokes equations
cites work: Q4551575
DOI: 10.1016/J.JFA.2006.04.029
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description: scientific article; zbMATH DE number 5083459