Asymptotic Behavior of the Global Attractors to the Boussinesq System for Rayleigh-B enard Convection at Large Prandtl Number
نویسنده
چکیده
We study asymptotic behavior of the global attractors to the Boussinesq system for Rayleigh-B enard convection at large Prandtl number. In particular, we show that the global attractors to the Boussinesq system for Rayleigh-B enard convection converge to that of the in nite Prandtl number model for convection as the Prandtl number approaches in nity. This o ers partial justi cation of the in nite Prandtl number model for convection as a valid simpli ed model for convection at large Prandtl number even in the long time regime. keywords: Rayleigh-B enard convection, Boussinesq equations, Prandtl number, in nite Prandtl number model, Rayleigh number, global attractor, suitable weak solution
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