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-  2018 

非自治随机Sine-Gordon方程组的拉回动力行为
Pullback Dynamics for Non-Autonomous Stochastic Sine-Gordon Equations

DOI: 10.13718/j.cnki.xdzk.2018.02.012

Keywords: 非自治随机Sine-Gordon方程组, 随机动力系统, 拉回吸引子, Wiener过程
non-autonomous stochastic Sine-Gordon equations
, random dynamical system, pullback attractor, Wiener process

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Abstract:

主要研究了带加法扰动的非自治随机Sine-Gordon方程组的拉回动力行为,通过对解的一致估计证明了方程组产生的随机动力系统在空间(H01($\mathscr{O}$L2($\mathscr{O}$))2上存在唯一的拉回吸引子.
We are interested in the pullback dynamics for non-autonomous stochastic Sine-Gordon equations with an additive noise. By the use of the uniform estimates of solutions, we prove the existence of a unique pullback attractor for the random dynamical system generated by non-autonomous stochastic Sine-Gordon equations defined in (H01($\mathscr{O}$L2($\mathscr{O}$))2

References

[1]  WANG B X. Sufficient and Necessary Criteria for Existence of Pullback Attractors for Non-Compact Random Dynamical Systems[J]. Journal of Differential Equations, 2012, 253(5): 1544-1583. DOI:10.1016/j.jde.2012.05.015
[2]  PAZY A. Semigroups of Linear Operators and Applications to Partial Differential Equations[M]. Berlin: Springer-Verlag, 1983.
[3]  赵月利, 李扬荣, 贺军可. 带加法扰动的随机Sine-Gordon方程组的随机吸引子[J]. 西南师范大学学报(自然科学版), 2012, 37(6): 32-36.
[4]  FAN X M. Random Attractors for a Damped Sine-Gordon Equations with White Noise[J]. Pacific J Math, 2004, 216(1): 63-76. DOI:10.2140/pjm
[5]  尹福其, 刘林芳, 肖翠辉. 无界区域非自治随机Sine-Gordon方程的 $\mathscr{D}$ -周期吸引子[J]. 数学学报, 2014, 57(6): 1127-1140.
[6]  LI Y R, GUO B L. Random Attractors for Quasi-Continuous Random Dynamical Systems and Applications to Stochastic Reaction-Diffusion Equations[J]. Journal of Differential Equations, 2008, 245(7): 1775-1800. DOI:10.1016/j.jde.2008.06.031
[7]  CUI H Y, LANGA J A, LI Y R. Regularity and Structure of Pullback Attractors for Reaction Diffusion Type Systems without Uniqueness[J]. Nonlinear Analysis, 2016, 140: 208-235. DOI:10.1016/j.na.2016.03.012
[8]  赵文强. 带加法白噪音的随机Boussinesq方程组的解的渐近行为[J]. 数学学报, 2013, 56(1): 1-14.

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