| 具弱阻尼KDV方程谱逼近的大时间性态 |
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| 引用本文： | 向新民. 具弱阻尼KDV方程谱逼近的大时间性态[J]. 上海师范大学学报(自然科学版), 1997, 0(2) |
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| 作者姓名： | 向新民 |
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| 作者单位： | 上海师范大学数学系!上海，200234 |
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| 基金项目： | 国家自然科学基金，上海市教委资助 |
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| 摘 要： | 通过对精确解和近似解的更细致的先验估计，得到了谱近似解的误差估计，这估计是大时间的；进而还得到了近似整体吸引子N的存在性．
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| 关 键 词： | 具弱阻尼的KDV方程 大时间误差估计 谱方法 整体吸引子 |
The Large Time Behaviour of the Spectral Approximation of the Weakly Damped Forced Korteweg-de Vries Equation |
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| Xiang Xinmin. The Large Time Behaviour of the Spectral Approximation of the Weakly Damped Forced Korteweg-de Vries Equation[J]. Journal of Shanghai Normal University(Natural Sciences), 1997, 0(2) |
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| Authors: | Xiang Xinmin |
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| Affiliation: | Department of Mathcmatics |
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| Abstract: | The periodic intial value problem of the weakly damped Korteweg-de Vries equation is studied. The spectral approximation is constructed and the large time error estimate is given.The existence of the approxtriate attractor n is proved. |
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| Keywords: | weakly damped forced KDV equation large time error estimate spectral method global attractor |
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