| The Perturbed Problem on the Boussinesq System of Rayleigh-Bénard Convection |
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| 作者姓名： | Jian-guo SHI Shu WANG Ke WANG Feng-ying HE |
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| 作者单位： | College of Applied Sciences,Beijing University of Technology;Department of Mathematics,Huanghuai University;Zhoukou Vocational and Technical College |
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| 基金项目： | Supported by National Basic Research Program of China(973 Program,Grant No.2011CB808002);National Natural Sciences Fundation of China(Grant No.11371042);BNSF(No.1132006);Beijing Education Committee Foundation(No.CIT&TCD20130312);HNNSF(112300410251,132300410250,132300410084);KYTF of Henan Education Commitee(2011GGJS-210) |
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| 摘 要： | In this paper,the infinite Prandtl number limit of Rayleigh-B′enard convection is studied.For well prepared initial data,the convergence of solutions in L∞(0,t;H2(G)) is rigorously justified by analysis of asymptotic expansions.
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| 关 键 词： | infinite Prandtl number limit Rayleigh-B′enard convection boussinesq system asymptotic expansions iterative techniques |
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