应用数学2025，Vol.38Issue(3)：806-813,8.
带有可加白噪声的非局部Kuramoto-Sivashinsky方程的平均随机吸引子
Mean Random Attractors of Nonlocal Kuramoto-Sivashinsky Equations with Additive White Noise
摘要
Abstract
In this paper,we study the mean dynamics of nonlocal Kuramoto-Sivashinsky equations with additive white noise.Firstly,the nonlocal Kuramoto-Sivashinsky equation with additive white noise can generate a mean random dynamical system by the well-posed properties of the solution process.Secondly,the existence of a unique weak pullback mean random attractor of the equation in Bochner space is proved by the relevant properties of the mean random dynamical system.关键词
非局部/Kuramoto-Sivashinsky方程/平均随机动力系统/弱拉回平均随机吸引子/Bochner空间Key words
Nonlocal/Kuramoto-Sivashinsky equation/Mean random dynamical system/Weak pullback mean random attractor/Bochner space分类
数理科学引用本文复制引用
高寒,陈晓鹏..带有可加白噪声的非局部Kuramoto-Sivashinsky方程的平均随机吸引子[J].应用数学,2025,38(3):806-813,8.基金项目
国家自然科学基金(12271185) （12271185）
广东省基础与应用基础研究基金(2023A1515140016) （2023A1515140016）
