The Perturbed Problem on the Boussinesq System of Rayleigh-Bénard Convection  

作　　者：Jian-guo SHI Shu WANG Ke WANG Feng-ying HE 

机构地区：[1]College of Applied Sciences,Beijing University of Technology [2]Department of Mathematics,Huanghuai University [3]Zhoukou Vocational and Technical College

出　　处：《Acta Mathematicae Applicatae Sinica》2014年第1期75-88,共14页应用数学学报（英文版）

基　　金：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)

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.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.

关 键 词：infinite Prandtl number limit Rayleigh-B^nard convection boussinesq system ASYMPTOTIC EXPANSIONS iterative techniques 

分 类 号：O35[理学—流体力学]