四川文理学院学报
四川文理學院學報
사천문이학원학보
SICHUAN UNIVERSITY OF ARTS AND SCIENCE JOURNAL
2012年
5期
21-24
,共4页
谢凤艳%姜利敏%董永刚
謝鳳豔%薑利敏%董永剛
사봉염%강리민%동영강
Rayleigh—B6nard对流模型%Boussinesq近似系统：误差方程组%．
Rayleigh—B6nard對流模型%Boussinesq近似繫統：誤差方程組%．
Rayleigh—B6nard대류모형%Boussinesq근사계통：오차방정조%．
Rayleigh - Benard convection model%Boussinesq approximating system%en'or equations.
为揭示Rayleigh—Benard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—Benard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．
為揭示Rayleigh—Benard對流模型的特徵，運用奇異攝動理論的小參數漸近展開法，研究瞭在給定的初值條件，初始層消失時，Rayleigh—Benard對流的Boussinesq近似繫統解的無窮大Prandtl數漸近極限問題．給齣瞭該問題的近似解和誤差方程組．
위게시Rayleigh—Benard대류모형적특정，운용기이섭동이론적소삼수점근전개법，연구료재급정적초치조건，초시층소실시，Rayleigh—Benard대류적Boussinesq근사계통해적무궁대Prandtl수점근겁한문제．급출료해문제적근사해화오차방정조．
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.
