Minimax principle on energy dissipation of incompressible shear flow

DOI10.1007/s10483-010-1315-6zbMath1203.35185OpenAlexW2051271092MaRDI QIDQ605183

Bo Chen, Xiao-Wei Li, Gao-lian Liu

Publication date: 23 November 2010

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-010-1315-6

zbMATH Keywords

game theoryupper boundturbulencevariational methodminimax theoremdissipation rate

Mathematics Subject Classification ID

Noncooperative games (91A10) Navier-Stokes equations for incompressible viscous fluids (76D05) Statistical turbulence modeling (76F55) Shear flows and turbulence (76F10) Existence of solutions for minimax problems (49J35) Navier-Stokes equations (35Q30)

Related Items (1)

A short remark on Chien’s variational principle of maximum power losses for viscous fluids

Cites Work

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• Variational bounds on shear-driven turbulence and turbulent Boussinesq convection
• Links between dissipation, intermittency, and helicity in the GOY model revisited
• Time-averaged energy dissipation rate for shear driven flows in \(\mathbb{R}^n\)
• Energy dissipation in fractal-forced flow
• The Optimum Theory of Turbulence
• Bounds on Flow Quantities
• Energy dissipation in body-forced plane shear flow
• A winwin mechanism for low-drag transients in controlled two-dimensional channel flow and its implications for sustained drag reduction

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