| Volume 10, Number 6, 2020, Pages 2338-2361 DOI：10.11948/20190215 |
| Wong-Zakai approximations and attractors for fractional stochastic reaction-diffusion equations on unbounded domains |
| Yaqing Sun,Hongjun Gao |
| Keywords:Fractional reaction-diffusion equation, Wong-Zakai approximation, random attractor, upper semi-continuity, white noise. |
| Abstract: |
| In this paper, we investigate the Wong-Zakai approximations induced by a stationary process and the long term behavior of the fractional stochastic reaction-diffusion equation driven by a white noise. Precisely, one of the main ingredients in this paper is to establish the existence and uniqueness of tempered pullback attractors for the Wong-Zakai approximations of fractional stochastic reaction-diffusion equations. Thereafter the upper semi-continuity of attractors for the Wong-Zakai approximation of the equation as $\delta\rightarrow0$ is proved. |
PDF Download reader
|
|
|
|