| 随机Ginzburg-Landau方程的拉回吸引子 |
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| 引用本文： | 韩英豪,王志鹏,于吉霞.随机Ginzburg-Landau方程的拉回吸引子[J].辽宁师范大学学报(自然科学版),2013(4):449-456. |
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| 作者姓名： | 韩英豪 王志鹏 于吉霞 |
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| 作者单位： | 辽宁师范大学数学学院,辽宁大连116029 |
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| 摘 要： | 在 R2上具有光滑边界的有界区域 Q上考虑了具有线性乘积噪声的随机非自治Ginzburg-Landau方程？u？t -（λ＋ iα）Δu -（ν-σ22）u＋（k＋ iβ）｜ u｜2 u ＝ f （x ，t）＋σu礋dWd t 。我们运用Ball创建的能量方程方法建立了上述方程的拉回渐近紧性，进而证明了在相空间L 2（Q）上的拉回吸引子的存在性。
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| 关 键 词： | 拉回吸引子 非自治随机Ginzburg-Landau方程 乘积白噪声 |
The existence of pullback attractor for non-autonomous stochastic Ginzburg-Landau equation |
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| HAN Yinghao,WANG Zhipeng,YU Jixia.The existence of pullback attractor for non-autonomous stochastic Ginzburg-Landau equation[J].Journal of Liaoning Normal University(Natural Science Edition),2013(4):449-456. |
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| Authors: | HAN Yinghao WANG Zhipeng YU Jixia |
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| Affiliation: | (School of Mathematics, Liaoning Normal University, Dalian 116029, China ) |
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| Abstract: | Let Q be an open bounded domain in R2 with sufficiently regular boundary .We consider the following non-autonomous stochastic Ginzburg-Landau equation with multiplicative white noise ：？u？t - （λ＋ iα）Δu - （ν- σ22 ）u＋ （k＋ iβ）｜ u｜2 u = f （x ,t）＋ σu°dWd t . We use the method of energy equations introduced by Ball to establish the pullback asymptotic com-pactness ,and then prove the existence of pullback attractor for the equation above in L2 （Q） . |
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| Keywords: | pullback attractor non-autonomous stochastic Ginzburg-Landau equation multiplicative white noise |
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