Initial layer problem of the Boussinesq system for Rayleigh-Bénard convection with infinite Prandtl number limit
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AbstractThe 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).
2007 ◽
Vol 5
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pp. 53-66
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2011 ◽
Vol 26
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pp. 493-502
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2004 ◽
Vol 17
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pp. 821-825
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2007 ◽
Vol 60
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pp. 1293-1318
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2003 ◽
Vol 57
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pp. 1265-1282
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1985 ◽
pp. 148-160
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1997 ◽
Vol 79
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pp. 2257-2260
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