A Random Attractor Family of the High Order Beam Equations with White Noise

• 作者: Jie Liu
• 来源期刊: 现代非线性理论与应用(英文)
• 学科: 数学
• 关键词: Beam Type Equation Random Attractor White Noise
• 年，卷（期）: 2020,（3）
• 页码范围: 51-61
• 页数: 11页
• 分类号: O17

摘要

In this paper, we studied a class of damped high order Beam equation stochas-tic dynamical systems with white noise. First, the Ornstein-Uhlenbeck process is used to transform the equation into a noiseless random equation with random variables as parameters. Secondly, by estimating the solution of the equation, we can obtain the bounded random absorption set. Finally, the isomorphism mapping method and compact embedding theorem are used to obtain the system. It is progressively compact, then we can prove the existence of ran-dom attractors.