Structure of bifurcated solutions of two-dimensional infinite Prandtl number convection with no-slip boundary conditions

DOI10.1016/j.amc.2012.04.021zbMath1258.35023OpenAlexW2017276090MaRDI QIDQ450286

Jung Ho Park

Publication date: 13 September 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.04.021

zbMATH Keywords

structural stabilityRayleigh-Bénard convectionattractor bifurcationcycle of steady state solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Bifurcations in context of PDEs (35B32)

Cites Work

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• Existence and nonuniqueness of rectangular solutions of the Benard problem
• On upper bounds for infinite Prandtl number convection with or without rotation
• Infinite Prandtl number limit of Rayleigh-Bénard convection
• Attractors for the Bénard problem: existence and physical bounds on their fractal dimension
• Hydrodynamic Stability
• Thermosolutal convection at infinite prandtl number with or without rotation: Bifurcation and stability in physical space

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