Algebraic \(L^2\) decay for weak solutions of a viscous Boussinesq system in exterior domains
type: Item
instance of: scholarly article
title: Algebraic \(L^2\) decay for weak solutions of a viscous Boussinesq system in exterior domains
zbMATH Open document ID: 1273.35210
author: Pigong Han
published in: Journal of Differential Equations
publication date: 2012-06-01T00:00:00Z
review text: The author studies the large time behavior of weak solutions to a viscous Boussinesq system in \(n\)-dimensional exterior domains. The algebraic \(L^2\) decay rates are obtained for the velocity vector and the temperature by arguments corresponding to incompressible Navier-Stokes equations.
reviewed by: Cheng He
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 6040272
zbMATH Keywords: Boussinesq system
zbMATH Keywords: algebraic decay
zbMATH Keywords: exterior domain
MaRDI profile type: Publication
full work available at URL: j.jde.2012.03.002
OpenAlex ID: W2051234996
cites work: Temporal decays in \(L^1\) and \(L^{\infty}\) for the Stokes flow
cites work: Temporal and spatial decays for the Stokes flow
cites work: Decay rate for the incompressible flows in half spaces
cites work: Asymptotic behavior for the Navier-Stokes equations in 2D exterior domains
cites work: TEMPORAL AND SPATIAL DECAY RATES OF NAVIER-STOKES SOLUTIONS IN EXTERIOR DOMAINS
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: Weighted estimates for the incompressible fluid in exterior domains
cites work: Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains
cites work: Space-time decay of Navier-Stokes flows invariant under rotations
cites work: Large time decay and growth for solutions of a viscous Boussinesq system
cites work: New asymptotic profiles of nonstationary solutions of the Navier-Stokes system
cites work: A maximum principle applied to quasi-geostrophic equations
cites work: Nonstationary Navier-Stokes flows in a two-dimensional exterior domain with rotational symmetries
cites work: On \(L^1\)-summability and asymptotic profiles for smooth solutions to Navier-Stokes equations in a 3D exterior domain
cites work: Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
cites work: Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
cites work: Q4782579
cites work: On energy inequality, smoothness and large time behavior in L 2 for weak solutions of the Navier-Stokes equations in exterior domains
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Q3199050
cites work: \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
cites work: Lower Bounds of Rates of Decay for Solutions to the Navier-Stokes Equations
cites work: Q4024276
cites work: Q2743226
DOI: 10.1016/J.JDE.2012.03.002
description: scientific article; zbMATH DE number 6040272