We rigorously justify the infinite Prandtl number model of convection as the limit of the Boussinesq approximation to the Rayleigh-Bénard convection as the Prandtl number approaches infinity. This is a singular limit problem involving an initial layer. © 2004 Wiley Periodicals, Inc.
X. Wang, "Infinite Prandtl Number Limit of Rayleigh-Bénard Convection," Communications on Pure and Applied Mathematics, vol. 57, no. 10, pp. 1265 - 1282, Wiley, Oct 2004.
The definitive version is available at https://doi.org/10.1002/cpa.3047
Mathematics and Statistics
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01 Oct 2004