| 弱阻尼KdV方程的惯性分形集* |
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| 引用本文： | 戴正德 朱智伟. 弱阻尼KdV方程的惯性分形集*[J]. 应用数学和力学, 1995, 16(1): 33-40 |
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| 作者姓名： | 戴正德 朱智伟 |
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| 作者单位： | 1.云南省应用数学研究所, 云南大学数学系; |
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| 摘 要： | 本文对非自共轭情形下弱阻尼非线性KdV方程,证明了惯性分形集存在且进行了分形维度的上界估计.
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| 关 键 词： | Kdy方程 惯性分形 维度 |
| 收稿时间： | 1994-04-30 |
The Inertial Fractal Set for Weakly Damped Forced Koreweg-de-Vries Equation |
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| Dai Zheng-de. The Inertial Fractal Set for Weakly Damped Forced Koreweg-de-Vries Equation[J]. Applied Mathematics and Mechanics, 1995, 16(1): 33-40 |
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| Authors: | Dai Zheng-de |
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| Affiliation: | 1.Institute of AppIied Mathematics of Yunnan Province;Department of Math., Yunnan Univ., Kunming;2.Department of Math., Xijangg Univesity |
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| Abstract: | In this paper we consider weakly damped forced Kortewegde-Vries equation with non-self-adjoint operator.The existence of inertial fractal set M of this equation is proved,the estimates of the upper bounds of fractal dimension for M are also obtained. |
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| Keywords: | KdV equation itertial fractal dimension |
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