We study asymptotic behavior of the global attractors to the Boussinesq system for Rayleigh-Bénard convection at large Prandtl number. in particular, we show that the global attractors to the Boussinesq system for Rayleigh-Bénard convection converge to that of the infinite-Prandtl- number model for convection as the Prandtl number approaches infinity. This offers partial justification of the infinite-Prandtl-number model for convection as a valid simplified model for convection at large Prandtl number even in the long-time regime. © 2006 Wiley Periodicals, Inc.
X. Wang, "Asymptotic Behavior of the Global Attractors to the Boussinesq System for Rayleigh-Bénard Convection at Large Prandtl Number," Communications on Pure and Applied Mathematics, vol. 60, no. 9, pp. 1293 - 1318, Wiley, Sep 2007.
The definitive version is available at https://doi.org/10.1002/cpa.20170
Mathematics and Statistics
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01 Sep 2007