The limit of the Boussinesq system of Rayleigh-Bénard convection as the Prandtl number approaches infinity

DOI10.1007/S11766-011-2207-7zbMath1265.35271OpenAlexW1987286619MaRDI QIDQ453372

Zhonglin Wu, Jianguo Shi

Publication date: 5 October 2012

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-011-2207-7

zbMATH Keywords

singular perturbationasymptotic expansionsRayleigh-Bénard convectionBoussinesq systeminfinite Prandtl number limitclassical energy methods

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Convection in hydrodynamic stability (76E06)

Cites Work

• The initial layer problem and infinite Prandtl number limit of Rayleigh-Bénard convection
• Infinite Prandtl number limit of Rayleigh-Bénard convection
• Scaling in thermal convection: a unifying theory
• Recent Developments in Rayleigh-Bénard Convection
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