无界域上带白噪声和非线性阻尼波动方程的动力学行为  

Dynamical behavior for stochastic wave equation with nonlinear damping and white noise on unbounded domains

作　　者：乔丹 王苗苗 李晓军[1] QIAO Dan;WANG Miaomiao;LI Xiaojun(School of Science,Hohai University,Nanjing 210098,China)

机构地区：[1]河海大学理学院

出　　处：《天津师范大学学报（自然科学版）》2019年第5期22-29,共8页Journal of Tianjin Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11571092)

摘　　要：研究无界域上带有非线性阻尼和可加噪声的非自治随机波动方程随机吸引子的存在性,利用对变换系统解的一致估计和区域的分割技巧,得到渐近紧的D-拉回吸收集的存在性,从而得到原系统随机吸引子的存在性.The existence of random attractor for stochastic non-autonomous wave equation with nonlinear damping and additive noise on unbounded domains is studied.By using the uniform estimates of solutions of transformed system and the decomposition technique on the space,the existence of asymptotically compact D-pullback absorbing set is obtained,and then the existence of random attractor of original system is given.

关 键 词：无界域 波动方程 随机吸引子 渐近紧性 非线性阻尼 

分 类 号：O175.26[理学—数学]