Attractor dimension estimates for two-dimensional shear flows

DOI10.1016/S0167-2789(98)00121-3zbMath0956.76017OpenAlexW2080983519MaRDI QIDQ1808296

Charles R. Doering, Xiaoming Wang

Publication date: 6 December 1999

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(98)00121-3

zbMATH Keywords

Navier-Stokes equationsglobal attractorHausdorff dimensionturbulent flowsfractal dimensionenergy dissipation rateLieb-Thirring inequalitysmall length scalesboundary-driven shear flowselongated two-dimensional channelspressure-gradient driven flowsupper bounds for degrees of freedom

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Shear flows and turbulence (76F10) Navier-Stokes equations (35Q30) Dynamical systems approach to turbulence (76F20)

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Micropolar meets Newtonian. The Rayleigh-Bénard problem, Energy and enstrophy dissipation in steady state 2d turbulence, On pullback attractors for a class of two-dimensional turbulent shear flows, An upper bound on the attractor dimension of a 2D turbulent shear flow in lubrication theory, Nonlinear waves and solitons in physical systems, Effect of tangential derivative in the boundary layer on time averaged energy dissipation rate

Cites Work

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