Shear layer flow in a channel: Estimate on the dimension of the attractor

DOI10.1016/0167-2789(93)90010-XzbMath0779.58027OpenAlexW2087681706MaRDI QIDQ2367681

Alain Miranville

Publication date: 18 August 1993

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

Full work available at URL: https://doi.org/10.1016/0167-2789(93)90010-x

zbMATH Keywords

Navier-Stokes equationsshear layer flowfinite dimensional attractorboundary- driven fluid

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and repellers of smooth dynamical systems and their topological structure (37C70)

Related Items (3)

Lower bound on the dimension of the attractor for the bénard problem with free surfaces ⋮ Dynamics of 2D incompressible non-autonomous Navier-Stokes equations on Lipschitz-like domains ⋮ Attractor dimension estimates for two-dimensional shear flows

Cites Work

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• On the dimension of the attractors in two-dimensional turbulence
• Generalization of the Sobolev-Lieb-Thirring inequalities and applications to the dimension of attractors
• Infinite-dimensional dynamical systems in mechanics and physics
• Approximation of attractors, large eddy simulations and multiscale methods
• Attractors representing turbulent flows
• Determining modes and fractal dimension of turbulent flows

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