Initial layer problem of the Boussinesq system for Rayleigh-Bénard convection with infinite Prandtl number limit

The main purpose of this paper is to study the initial layer problem and the infinite Prandtl number limit of Rayleigh-Bénard convection with an ill prepared initial data. We use the asymptotic expansion methods of singular perturbation theory and the two-time-scale approach to obtain an exact appro...

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Bibliographic Details
Main Authors: Fan Xiaoting, Wang Shu, Xu Wen-Qing, Liu Mingshuo
Format: Article
Language:English
Published: De Gruyter 2018-10-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2018-0094