Bifurcation of infinite Prandtl number rotating convection

DOI10.1016/j.na.2010.05.030zbMath1194.35334OpenAlexW1963761216MaRDI QIDQ988850

Jung Ho Park

Publication date: 19 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.05.030

zbMATH Keywords

bifurcationcritical Rayleigh numbereffect of rotationstructure of solutionsinfinite Prandtl numberRayleigh-Bénard convection with rotation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Free convection (76R10) Bifurcations in context of PDEs (35B32) Rotation in hydrodynamic stability (76E07)

Related Items (3)

Unnamed Item ⋮ Thermosolutal convection at infinite Prandtl number: initial layer and infinite Prandtl number limit ⋮ Thermosolutal convection at infinite prandtl number with or without rotation: Bifurcation and stability in physical space

Cites Work

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• Two-dimensional infinite Prandtl number convection: structure of bifurcated solutions
• Infinite Prandtl number convection
• Infinite-dimensional dynamical systems in mechanics and physics.
• The stability of infinite Prandtl number rotating conduction.
• Dynamic bifurcation theory of Rayleigh-Bénard convection with infinite Prandtl number
• 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
• A nonlinear analysis of the stabilizing effect of rotation in the Bénard problem
• Attractors for the Bénard problem: existence and physical bounds on their fractal dimension
• On the equations of the large-scale ocean
• Laminar starting plumes in high-Prandtl-number fluids
• Hydrodynamic Stability

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