Existence and dimension of the attractor for the Bénard problem on channel-like domains.

DOI10.3934/DCDS.2004.10.89zbMath1049.37046OpenAlexW2042810041MaRDI QIDQ1433908

Marco Cabral, Ricardo M. S. Rosa, Roger M. Temam

Publication date: 1 July 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.10.89

zbMATH Keywords

global attractorfractal dimensionBénard problemnoncompact systems

Mathematics Subject Classification ID

Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Convection in hydrodynamic stability (76E06)

Related Items (4)

The attractors for the regularized Bénard problem with fractional Laplacian ⋮ Regularity and attractors for the three‐dimensional generalized Boussinesq system ⋮ Global \(\varphi\)-attractor for a modified 3D Bénard system on channel-like domains ⋮ Global \(\varphi\)-attractor for a modified 3D Bénard system on channel-like domains

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