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| Rayleigh-Benard对流问题的近似解及构造 | |
| 引用本文： | 谢凤艳,姜利敏,董永刚. Rayleigh-Benard对流问题的近似解及构造[J]. 达县师范高等专科学校学报, 2012, 0(5): 21-24 |
| 作者姓名： | 谢凤艳 姜利敏 董永刚 |
| 作者单位： | 安阳师范学院人文管理学院,河南安阳455002 |
| 基金项目： | 国家自然科学基金项目（11101369） |
| 摘 要： | 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． |
| 关 键 词： | Rayleigh—B6nard对流模型 Boussinesq近似系统：误差方程组 ． |
On the Asymptotic Solution and Construction of Convection Problems |
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| Affiliation: | XIE Feng - yan, JIANG Li - min, DONG Yong - gang (Humanistic Management College of Anyang Normal University, Anyang Henan 455002, China) |
| Abstract: | 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. |
| Keywords: | Rayleigh - Benard convection model Boussinesq approximating system en＇or equations. |
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