Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
472086 | Computers & Mathematics with Applications | 2015 | 9 Pages |
Abstract
This paper is devoted to the dynamical behavior of a stochastic extensible suspension bridge equation with white noise. For a deterministic suspension bridge equation, there are many classical results such as existence and uniqueness of a solution and long-term behavior of solutions. To the best of our knowledge, the existence of attractors for the suspension bridge equation with white noise was not yet considered. We intend to investigate these problems. We first obtain the dissipativeness of a solution in higher-energy spaces H3(Ω)×(H2(Ω)∩H01(Ω)). This implies that the random dynamical system generated by the equation has a random attractor in (H2(Ω)∩H01(Ω))×L2(Ω), which is a tempered random set in the space in H3(Ω)×(H2(Ω)∩H01(Ω)).
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Qiaozhen Ma, Ling Xu,