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随机Ginzburg-Landau方程的拉回吸引子 被引量：3

The existence of pullback attractor for non-autonomous stochastic Ginzburg-Landau equation
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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dW dt.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L2(Q)上的拉回吸引子的存在性. 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） .
作者 韩英豪 王志鹏 于吉霞
机构地区 辽宁师范大学数学学院
出处 《辽宁师范大学学报（自然科学版）》 CAS 2013年第4期449-456,共8页 Journal of Liaoning Normal University:Natural Science Edition
关键词 拉回吸引子 非自治随机Ginzburg-Landau方程 乘积白噪声 pullback attractor non-autonomous stochastic Ginzburg-Landau equation multiplicative white noise
分类号 O175.29 [理学—基础数学] O211.63 [理学—概率论与数理统计]
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参考文献9

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同被引文献12

  • 1YOU Honglian, YUAN Rong. Random attractor for stochastic partial functional differential equations with finite delay[J]. Tai wanese Journal of Mathematics, 2014,18(1) : 77-92.
  • 2DUNCAN T E , MASLOWSKI B, DUNCAN Pasik B. fractional Brownian motion and stochastic equations in Hilbert spaces[J] Stochastics Dyn, 2002,2(3) : 225-250.
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  • 4BOHDAN M, SCHMALFUSS B. Random dynamical systems and stationary solutions of differential equations driven by the frac- tional brownian motion[J].Stoch Anal and Appl, 2004,22 (6) : 1577-1607.
  • 5BATES P W, LU K, WANG B. Random attractors for stochastic reaction-diffusion equations on unbounded domains[J].Differ ential Equations, 2009,246 (4) : 845 869.
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  • 8THIEME H. Semif!q~s generated by Lipschtz perturbations of non densely defined operators[J]. Differential Integral Equa tions,1990,3(6) ,1035-1066.
  • 9李劲,黄建华.Dynamics of stochastic non-Newtonian fluids driven by fractional Brownian motion with Hurst parameter H∈(1/4,1/2)[J].Applied Mathematics and Mechanics(English Edition),2013,34(2):189-208. 被引量：2
  • 10韩英豪,苏红,于吉霞.随机2-维纳维-斯托克斯-伯格斯方程的不变测度的存在性[J].延边大学学报（自然科学版）,2013,39(3):161-166. 被引量：1

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辽宁师范大学学报（自然科学版）
2013年 第4期

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