Asymptotic behavior of the global attractors to the Boussinesq system for Rayleigh-Benard convection at large Prandtl number

作者：Wang Xiaoming^*

来源：Communications on Pure and Applied Mathematics, 2007, 60(9): 1293-1318.

DOI：10.1002/cpa.20170

We study asymptotic behavior of the global attractors to the Boussinesq system for Rayleigh-Benard convection at large Prandtl number. In particular, we show that the global attractors to the Boussinesq system for Rayleigh-Benard 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.

• 出版日期2007-9
• 单位复旦大学