| 非自治Ginzburg-Landau方程在H_0~1上的后项紧拉回吸引子 |
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| 引用本文： | 徐冬梅,王仁海,李富智.非自治Ginzburg-Landau方程在H_0~1上的后项紧拉回吸引子[J].西南师范大学学报(自然科学版),2018,43(6):31-36. |
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| 作者姓名： | 徐冬梅 王仁海 李富智 |
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| 作者单位： | 上饶师范学院数学与计算机科学学院;西南大学数学与统计学院 |
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| 摘 要： | 运用一个关于后项紧的拉回吸引子的存在性定理,证明了非自治的Ginzburg-Landau方程在外力项满足一定的假设条件下,在正则空间H_0~1上存在后项紧的拉回吸引子.
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| 关 键 词： | 非自治Ginzburg-Landau方程 后项光滑性 后项紧性 非自治动力系统 一致Gronwall引理 |
| 收稿时间： | 2017/9/4 0:00:00 |
Backward Compact Pullback Attractors for Non-autonomous Ginzburg-Landau Equation In H01 |
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| XU Dong-mei,WANG Ren-hai,LI Fu-zhi.Backward Compact Pullback Attractors for Non-autonomous Ginzburg-Landau Equation In H01[J].Journal of Southwest China Normal University(Natural Science),2018,43(6):31-36. |
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| Authors: | XU Dong-mei WANG Ren-hai LI Fu-zhi |
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| Institution: | 1. School of Mathematics and Computer Science, Shangrao Normal University, Shangrao Jiangxi 334001, China;2. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China |
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| Abstract: | In this paper, we employ an existence theorem of backward compact pullback attractor to show that the non-autonomous Ginzburg-Landau equation has a backward compact pullback attractor in H01 under some suitable assumption ofthe external force. |
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| Keywords: | Non-autonomous Ginzburg-Landau equation Backward flattening Backward compactness Non-autonomous dynamic systems Uniform Gronwall Lemma |
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