Pullback attractors for modified swift-hohenberg equation on unbounded domains with non-autonomous deterministic and stochastic forcing terms |
| |
Authors: | Zhi Wang and Xianyun Du |
| |
Affiliation: | College of Applied Mathematics, Chengdu university of information technology, Chengdu, Sichuan 610225, China and College of Applied Mathematics, Chengdu university of information technology, Chengdu, Sichuan 610225, China |
| |
Abstract: | In this paper, the existence and uniqueness of pullback attractors for the modified Swift-Hohenberg equation defined on $R^{n}$ driven by both deterministic non-autonomous forcing and additive white noise are established. We first define a continuous cocycle for the equation in $L^{2}(R^{n})$, and we prove the existence of pullback absorbing sets and the pullback asymptotic compactness of solutions when the equation with exponential growth of the external force. The long time behaviors are discussed to explain the corresponding physical phenomenon. |
| |
Keywords: | Swift-Hohenberg equation random dynamical systems continuous cocycle pullback attractors asymptotic compactness. |
|
| 点击此处可从《Journal of Applied Analysis & Computation》浏览原始摘要信息 |
|
点击此处可从《Journal of Applied Analysis & Computation》下载免费的PDF全文 |