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The perturbed problem on the boussinesq system of Rayleigh-Bénard convection

The perturbed problem on the boussinesq system of Rayleigh-Bénard convection In this paper, the infinite Prandtl number limit of Rayleigh-Bénard convection is studied. For well prepared initial data, the convergence of solutions in L ∞(0, t;H 2(G)) is rigorously justified by analysis of asymptotic expansions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

The perturbed problem on the boussinesq system of Rayleigh-Bénard convection

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Publisher
Springer Journals
Copyright
Copyright © 2014 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-014-0271-5
Publisher site
See Article on Publisher Site

Abstract

In this paper, the infinite Prandtl number limit of Rayleigh-Bénard convection is studied. For well prepared initial data, the convergence of solutions in L ∞(0, t;H 2(G)) is rigorously justified by analysis of asymptotic expansions.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Apr 26, 2014

References