非自治Ginzburg-Landau方程在H01上的后项紧拉回吸引子

徐冬梅<sup>1</sup>,王仁海<sup>2</sup>,李富智<sup>2</sup>

doi:10.13718/j.cnki.xsxb.2018.06.007

西南师范大学学报(自然科学版)

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非自治Ginzburg-Landau方程在H01上的后项紧拉回吸引子

徐冬梅1,王仁海2,李富智2. 非自治Ginzburg-Landau方程在H01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. doi: 10.13718/j.cnki.xsxb.2018.06.007

引用本文:

徐冬梅¹,王仁海²,李富智². 非自治Ginzburg-Landau方程在H01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. doi: 10.13718/j.cnki.xsxb.2018.06.007

XU Dong-mei1, WANG Ren-hai2, LI Fu-zhi2. Backward Compact Pullback Attractors for Non-autonomous Ginzburg-Landau Equation In H01[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(6): 31-36. doi: 10.13718/j.cnki.xsxb.2018.06.007

Citation:

XU Dong-mei¹, WANG Ren-hai², LI Fu-zhi². Backward Compact Pullback Attractors for Non-autonomous Ginzburg-Landau Equation In H01[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(6): 31-36. doi: 10.13718/j.cnki.xsxb.2018.06.007

非自治Ginzburg-Landau方程在H01上的后项紧拉回吸引子

徐冬梅¹,王仁海²,李富智²

1. 上饶师范学院数学与计算机科学学院, 江西上饶 334001;
2. 西南大学数学与统计学院, 重庆 400715

Backward Compact Pullback Attractors for Non-autonomous Ginzburg-Landau Equation In H01

XU Dong-mei¹, WANG Ren-hai², LI Fu-zhi²

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

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H01上存在后项紧的拉回吸引子.
- 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
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.
- Non-autonomous Ginzburg-Landau equation /
- Backward flattening /
- Backward compactness /
- Non-autonomous dynamic systems /
- Uniform Gronwall Lemma .

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