| 二维B-BBM方程的近似惯性流形 |
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| 引用本文： | 任维义. 二维B-BBM方程的近似惯性流形[J]. 四川师范大学学报(自然科学版), 2006, 29(2): 200-202 |
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| 作者姓名： | 任维义 |
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| 作者单位： | 四川警官高等专科学校,基础部,四川,泸州,646000;西南大学,数学系,重庆,400715 |
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| 摘 要： | 讨论了周期边界条件下二维B-BBM方程的长时间动力学行为,利用时间解析性,构造了该方程的近似惯性流形,即构造了一类非线性有限维且具有一定光滑性的充分逼近于整体吸引子的流形.
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| 关 键 词： | B-BBM方程 时间解析性 近似惯性流形 |
| 文章编号： | 1001-8395（2006）02-0200-03 |
| 收稿时间： | 2005-09-01 |
| 修稿时间： | 2005-09-01 |
The Approximate Inertial Manifold for the 2D B-BBM Equation |
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| REN Wei-yi. The Approximate Inertial Manifold for the 2D B-BBM Equation[J]. Journal of Sichuan Normal University(Natural Science), 2006, 29(2): 200-202 |
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| Authors: | REN Wei-yi |
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| Affiliation: | 1. Department of Basic Courses, Sichuan Police College, Luzhou 646000, Sichuan ; 2. Department of Mathematics, Southwest University, Chongqing 500715 |
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| Abstract: | In this paper, the long time behavior of solution for the 2D B-BBM equation is studied under the periodic boundary condition. The approximate inertial manifold is constructed by time analytieity, which is finite dimensional nonlinear smooth manifold. Moreover,it is approximation of global attractor. |
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| Keywords: | B-BBM equation Time analyticity Approximate inertial manifolds |
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