An upper bound on the attractor dimension of a 2D turbulent shear flow in lubrication theory

DOI10.1016/j.na.2004.08.007zbMath1133.37340OpenAlexW2029673495MaRDI QIDQ1765206

Grzegorz Łukaszewicz, Mahdi Boukrouche

Publication date: 23 February 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.08.007

zbMATH Keywords

Navier-Stokes equationsLieb-Thirring inequalityLubrication theoryEnergy dissipation rateDimension of global attractorGlobal-in-time solution

Mathematics Subject Classification ID

Attractors (35B41) Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Lubrication theory (76D08) Shear flows and turbulence (76F10) Navier-Stokes equations (35Q30)

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Micropolar meets Newtonian. The Rayleigh-Bénard problem, On global in time dynamics of a planar Bingham flow subject to a subdifferential boundary condition, On pullback attractors for a class of two-dimensional turbulent shear flows, Attractors for Navier-Stokes flows with multivalued and nonmonotone subdifferential boundary conditions

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