| GLOBAL ATTRACTOR FOR HASEGAWA-MIMA EQUATION |
| |
| 作者姓名： | 张瑞风 郭柏灵 |
| |
| 作者单位： | College of Mathematics and Information Science Henan University，Kaifeng 475001，Henan Province，P. R. China，Institute of Applied Physics and Computational Mathematics，Beijing 100088，P. R. China |
| |
| 基金项目： | Project supported by the Natural Science Foundation of Henan Educational Committee of China(No.2003110005) |
| |
| 摘 要： | The long time behavior of solution of the Hasegawa-Mima equation with dissipation term was considered. The global attractor problem of the Hasegawa-Mima equation with initial periodic boundary condition was studied. Applying the uniform a priori estimates method, the existence of global attractor of this problem was proved, and also the dimensions of the global attractor was estimated.
|
| 关 键 词： | Hasegawa-Mima方程 预先估计 球形吸引子 Hausdorff分形维数 偏微分方程 |
| 收稿时间： | 2004-12-14 |
| 修稿时间： | 2006-01-03 |
Global attractor for Hasegawa-Mima equation |
| |
| Professor Rui-feng Zhang Doctor,Bo-ling Guo.GLOBAL ATTRACTOR FOR HASEGAWA-MIMA EQUATION[J].Applied Mathematics and Mechanics(English Edition),2006,27(5):567-574. |
| |
| Authors: | Professor Rui-feng Zhang Doctor Bo-ling Guo |
| |
| Institution: | 1. College of Mathematics and Information Science, Henan University, Kaifeng 475001, Henan Province, P. R. China
2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China |
| |
| Abstract: | The long time behavior of solution of the Hasegawa-Mima equation with dissipation term was considered. The global attractor problem of the Hasegawa-Mima equation with initial periodic boundary condition was studied. Applying the uniform a priori estimates method, the existence of global attractor of this problem was proved, and also the dimensions of the global attractor was estimated. |
| |
| Keywords: | Hasegawa-Mima equation a priori estimate global attractor Hausdorff and fractal dimensions |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |
