| 一类耦合非线性波方程周期初值问题的指数吸引子 |
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| 引用本文： | 纪燕珊,杨灵娥. 一类耦合非线性波方程周期初值问题的指数吸引子[J]. 佛山科学技术学院学报(自然科学版), 2006, 24(1): 8-13 |
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| 作者姓名： | 纪燕珊 杨灵娥 |
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| 作者单位： | 华南师范大学,数学系,广东,广州,510631;佛山科学技术学院,信息科学与数学系,广东,佛山,528000 |
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| 摘 要： | 从K dv耦合方程组得到一维耦合非线性波方程周期初值问题的指数吸引子。通过证明方程对应的半群S(t)的L ipsch itz连续性和挤压性,从而得到有限维指数吸引子的存在性。
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| 关 键 词： | 耦合非线性波方程 整体吸引子 指数吸引子 挤压性 |
| 文章编号： | 1008-0171（2006）01-0008-06 |
| 收稿时间： | 2005-10-20 |
| 修稿时间： | 2005-10-20 |
The exponential attractors for the periodic initial value problem for a coupled nonlinear wave equation |
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| JI Yan-shan,YANG Ling-e. The exponential attractors for the periodic initial value problem for a coupled nonlinear wave equation[J]. Journal of Foshan University(Natural Science Edition), 2006, 24(1): 8-13 |
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| Authors: | JI Yan-shan YANG Ling-e |
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| Affiliation: | 1. Department of Math, South China Normol University, Guangzhou 510631, China; 2. Department of Mathematics, Foshan University, Foshan 528000, China |
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| Abstract: | In this paper,we establish the exponential attractors for the periodic initial value problem for a coupled nonlinear wave equation, show the lipschity continuity squeezing property of the semigroup solassociated with the equation.Therefore the existence of finite dimensional exponential attractors is obtained. |
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| Keywords: | coupled nonlinear wave equation global attractor exponential attractor squeezing property |
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