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Initial layer problem of the Boussinesq system for Rayleigh-Bénard convection with infinite Prandtl number limit
2018
Open Mathematics
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 approximating solution and the convergence rates $O(\varepsilon^{\frac{3}{2}})$ and O(ε2).
doi:10.1515/math-2018-0094
fatcat:t5gzivvzdvh2pnwdpvemoytw34