| Neumann边界条件下强阻尼波动方程的一维全局吸引子 |
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| 引用本文： | 李红艳,周盛凡. Neumann边界条件下强阻尼波动方程的一维全局吸引子[J]. 数学学报, 2006, 0(6) |
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| 作者姓名： | 李红艳 周盛凡 |
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| 作者单位： | 上海大学数学系，上海大学数学系 上海 200444，上海 200444 |
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| 基金项目： | 国家自然科学基金(10471086) |
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| 摘 要： | 本文主要考虑齐次Neumann边界条件下强阻尼波动方程的全局吸引子的存在性．利用渐近时间周期微分方程的极限集的性质,证明了在一定的参数范围内,齐次Neumann边界条件下强阻尼波动方程存在一维全局吸引子,是一条水平曲线．
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| 关 键 词： | 强阻尼波动方程 全局吸引子 水平曲线 |
One-Dimensional Global Attractor for Strongly Damped Wave Equations with Neumann Boundary Condition |
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| Hong Yan LI Sheng Fan ZHOU. One-Dimensional Global Attractor for Strongly Damped Wave Equations with Neumann Boundary Condition[J]. Acta Mathematica Sinica, 2006, 0(6) |
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| Authors: | Hong Yan LI Sheng Fan ZHOU |
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| Affiliation: | Hong Yan LI Sheng Fan ZHOU Department of Mathematics,Shanghai University,Shanghai 200444,P.R.China |
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| Abstract: | In this paper,we consider the existence of global attractor of strongly damped wave equations under homogeneous Neumann boundary condition.By the property of limit set of asymptotic time-periodic differential equations,we prove that in a cer- tain parameter region,the system has a one-dimensional global attractor,which is a horizontal curve. |
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| Keywords: | strongly damped wave equation global attractor horizontal curve |
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