Rayleigh-Bénard对流问题的近似解及构造  

On the Asymptotic Solution and Construction of Convection Problems

作　　者：谢凤艳[1] 姜利敏[1] 董永刚[1] 

机构地区：[1]安阳师范学院人文管理学院,河南安阳455002

出　　处：《四川文理学院学报》2012年第5期21-24,共4页Sichuan University of Arts and Science Journal

基　　金：国家自然科学基金项目(11101369)

摘　　要：为揭示Rayleigh-Bénard对流模型的特征,运用奇异摄动理论的小参数渐近展开法,研究了在给定的初值条件,初始层消失时,Rayleigh-Bénard对流的Boussinesq近似系统解的无穷大Prandtl数渐近极限问题.给出了该问题的近似解和误差方程组.To reveal the Characteristic of tlayleigh- Benard eonveetion model, based on the small parameter asymptotie expan- zion method of singular perturbation theory,this paper is concerned with the infinite Prandtl number limit of the solution to Flay- leigh - Benard convection in case of specially - prepared initial data, which ean make the initial layer disappeared. A asymptotic solution and error equations are also obtained in this paper.

关 键 词：Rayleigh-Bénard对流模型 Boussinesq近似系统 误差方程组. 

分 类 号：O29[理学—应用数学]