| 一类反应扩散方程组的近似惯性流形 |
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| 引用本文： | 邝雪松. 一类反应扩散方程组的近似惯性流形[J]. 青海师范大学学报(自然科学版), 2004, 0(1): 8-12 |
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| 作者姓名： | 邝雪松 |
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| 作者单位： | 湛江海洋大学,基础部,广东,湛江,524088 |
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| 摘 要： | 本文研究了一类反应扩散方程组的长时间行为，利用线性Galerkin方法和压缩映象原理，构造了两类近似惯性流形，并证明了该方程纽的任意解轨道在长时间后，进入近似惯性流形的一个任意小邻域中。
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| 关 键 词： | 反应扩散方程组 线性Galerkin方法 压缩原理 近似惯性流形 |
| 文章编号： | 1001-7542(2004)01-0008-05 |
Approximate inertial manifolds of reaction-diffusion systems |
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| KUANG Xue-song. Approximate inertial manifolds of reaction-diffusion systems[J]. Journal of Qinghai Normal University(Natural Science Edition), 2004, 0(1): 8-12 |
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| Authors: | KUANG Xue-song |
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| Abstract: | In this paper, the long time behavor of a reaction-diffusion systems is studyied.By appling Galerkin method and contraction principle, two kinds of approximate inertial manifolds of the systems are constructed. It is proved that arbitrary solution trajectory of the equations goes into a small neighbourhood of the apporximate inertial manifolds after large time. |
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| Keywords: | Reaction-diffusion equations Galerkin method Contraction principle Approximate inertial manifolds |
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