Random Exponential Attractor for Stochastic Non-autonomous Suspension Bridge Equation with Linear Multiplicative White Noise  

作　　者：Ling XU Runjie LIU Xue BAI 

机构地区：[1]College of Mathematics and Statistics,Northwest Normal University,Gansu 730070,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2024年第1期81-112,共32页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11961059;12101502);the University Innovation Project of Gansu Province(Grant No.2023B-062)。

摘　　要：In this paper,we mainly consider the long-time behavior of stochastic non-autonomous suspension bridge equation by linear multiplicative white noise with small coefficient.First step,the well-posedness for the cocycle associated with the considered system is established.Second step,the existence of random attractor for the system is investigated.Third step,the upper semicontinuity of random attractor is also provided when the coefficient of random term approaches zero.Fourth step,we prove the regularity of random attractor in a higher regular space by the“iteration”method.Finally,we give the existence of a random exponential attractor for the considered system,which implies the finiteness of fractal dimension of random attractor.

关 键 词：stochastic non-autonomous suspension bridge equation multiplicative white noise random attractor fractal dimension random exponential attractor 

分 类 号：O211.6[理学—概率论与数理统计]