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一类非自治随机阻尼Sine-Gordon方程组的D-拉回吸引子 被引量：1

D-Pullback Attractors for a Class of Non-Autonomous Stochastic Damped Sine-Gordon Equations
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摘要 研究了带有加法噪音的非自治随机阻尼Sine-Gordon方程组解的渐进行为.运用一致估计证明了D-吸收集的存在性,并由解的分解技巧证明了该动力系统是渐进紧的,从而证明了Sine-Gordon方程组的D-拉回吸引子的存在性. The asymptotic behavior of the solution to the stochastic damped Sine-Gordon system with additive noise is investigated.Using the Gronwall lemma and the Sobolev embedding theorem,we find that there exists a compact absorption set in the system,which proves the existence of the D-pullback attractor in the Sine-Gordon system.
作者 唐巧兰 李富智 李扬荣 TANG Qiao-lan;LI Fu-zhi;LI Yang-rong(School of Mathematics and Statistics, Southwest University, Chongqing 400715, China)
机构地区 西南大学数学与统计学院
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2018年第6期101-108,共8页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金项目(11571283)
关键词 非自治随机动力系统 D-拉回吸引子 随机阻尼Sine-Gordon方程组 non-autonomous stochastic dynamical system D-pullback attractor stochastic damped Sine-Gordon equation
分类号 O193 [理学—基础数学]
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  • 9Bixiang Wang.Pullback attractors for the non-autonomous FitzHugh–Nagumo system on unbounded domains[J].Nonlinear Analysis.2008(11)
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西南大学学报（自然科学版）
2018年 第6期

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