| Volume 1, Number 4, 2011, Pages 449-465 DOI：10.11948/2011031 |
| The long time behavior for partly dissipative stochastic systems |
| Xianyun Du,Boling Guo |
| Keywords:partly dissipative |
| Abstract: |
| In this paper, we consider the long time behaviors for the partly dissipative stochastic reaction diffusion equations in \(D\in\mathbb{R}^n\). The main purpose of thie paper is to establish the existence of a compact global random attractor. The existence of a random absorbing set is first discussed for the systems and then an estimate on the solutions is derived when the time is large enough, which ensures the asymptotic compactness of solutions. Finally, establish the existence of the global attractor in \(L^2(D)\times L^2(D)\). |
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