%0 Journal Article
%T 一类非自治随机阻尼Sine-Gordon方程组的<inline-formula>$\mathscr{D}$</inline-formula>-拉回吸引子<br><inline-formula>$\mathscr{D}$</inline-formula>-Pullback Attractors for a Class of Non-Autonomous Stochastic Damped Sine-Gordon Equations
%A 唐巧兰
%A 李富智
%A 李扬荣&lt
%A br&gt
%A TANG Qiao-lan
%A LI Fu-zhi
%A LI Yang-rong
%J 西南大学学报(自然科学版)
%D 2018
%R 10.13718/j.cnki.xdzk.2018.06.016
%X 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<inline-formula>$\mathscr{D}$</inline-formula>-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<inline-formula>$\mathscr{D}$</inline-formula>-拉回吸引子的存在性.<br>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 <inline-formula>$\mathscr{D}$</inline-formula>-pullback attractor in the Sine-Gordon system
%K 非自治随机动力系统
%K &lt
%K inline-formula&gt
%K $\mathscr{D}$&lt
%K /inline-formula&gt
%K -拉回吸引子
%K 随机阻尼Sine-Gordon方程组&lt
%K br&gt
%K non-autonomous stochastic dynamical system
%K &lt
%K inline-formula&gt
%K $\mathscr{D}$&lt
%K /inline-formula&gt
%K -pullback attractor
%K stochastic damped Sine-Gordon equation
%U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2018/6/201806016.htm