An upper bound on the attractor dimension of a 2D turbulent shear flow in lubrication theory
type: Item
instance of: scholarly article
title: An upper bound on the attractor dimension of a 2D turbulent shear flow in lubrication theory
zbMATH Open document ID: 1133.37340
author: Mahdi Boukrouche
author: Grzegorz Łukaszewicz
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2005-02-23T00:00:00Z
Mathematics Subject Classification ID: 37L30
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 76D08
Mathematics Subject Classification ID: 76F10
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 2137248
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: Lubrication theory
zbMATH Keywords: Global-in-time solution
zbMATH Keywords: Energy dissipation rate
zbMATH Keywords: Dimension of global attractor
zbMATH Keywords: Lieb-Thirring inequality
MaRDI profile type: Publication
full work available at URL: j.na.2004.08.007
OpenAlex ID: W2029673495
cites work: Attractors for equations of mathematical physics
cites work: Applied Analysis of the Navier-Stokes Equations
cites work: Attractor dimension estimates for two-dimensional shear flows
cites work: Navier-Stokes equations and turbulence
cites work: Unification of variational principles for turbulent shear flows: The background method of Doering-Constantin and the mean-fluctuation formulation of Howard-Busse
cites work: Attractors for nonautonomous nonhomogeneous Navier - Stokes equations
cites work: On the dimension of the attractor for the Bénard problem with free surfaces
cites work: Introduction (to ``From finite to infinite dimensional dynamical systems'')
cites work: Infinite-dimensional dynamical systems in mechanics and physics.
cites work: Time-averaged energy dissipation rate for shear driven flows in \(\mathbb{R}^n\)
cites work: Effect of tangential derivative in the boundary layer on time averaged energy dissipation rate
cites work: Optimal bounds on the dimension of the attractor of the Navier-Stokes equations
cites work: On the two-dimensional Navier-Stokes equations with the free boundary condition
DOI: 10.1016/J.NA.2004.08.007
Recommended article: Q5484035
Recommended article: Attractor dimension estimates for two-dimensional shear flows
Recommended article: Shear layer flow in a channel: Estimate on the dimension of the attractor
Recommended article: Lyapunov exponents and the dimension of the attractor for 2D shear-thinning incompressible flow
Recommended article: On the dimension of the attractors in two-dimensional turbulence
Recommended article: On pullback attractors for a class of two-dimensional turbulent shear flows
Recommended article: Attractor dimension estimate for plane shear flow of micropolar fluid with free boundary
Recommended article: The dimension of attractors underlying periodic turbulent Poiseuille flow
Recommended article: Q3984004
Recommended article: Upper bound on the dimension of the attractor for nonhomogeneous Navier-Stokes equations
description: scientific article; zbMATH DE number 2137248