| 弱阻尼广义KdV方程的整体吸引子 |
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| 引用本文： | 党金宝,王磊,林国广. 弱阻尼广义KdV方程的整体吸引子[J]. 数学研究, 2010, 43(1): 39-49 |
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| 作者姓名： | 党金宝 王磊 林国广 |
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| 作者单位： | 云南大学数学与统计学院,云南,昆明,650091 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 证明了具有弱阻尼项的广义KdV方程约周期初边值问题解的存在唯—性及整体吸引子存在性，最后获得了吸引子的Hausdorff维数和分形维数的上界估计．
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| 关 键 词： | 解的存在唯—性 整体吸引子 Hausdorff维数 分形维数 |
Global Attractor for Weakly Damped generalized Equation in the Long Time |
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| Dang Jinbao,Wanglei,Lin Guoguang. Global Attractor for Weakly Damped generalized Equation in the Long Time[J]. Journal of Mathematical Study, 2010, 43(1): 39-49 |
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| Authors: | Dang Jinbao Wanglei Lin Guoguang |
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| Affiliation: | Dang Jinbao Wanglei Lin Guoguang (School of Mathematics , Statistics,Yunnan University,Kunming Yunnan 650091) |
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| Abstract: | We proved weak damping equation of the generalized solution of initial boundary value problem of the cycle of existence and uniqueness and existence of global attractor,and finally obtained the attractor dimension and the fractal dimension of the upper bound estimate. |
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| Keywords: | existence and uniqueness of solution global attractor dimension fractal dimension |
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