Asymptotic autonomous attractors for a stochastic lattice model with random viscosity |
| |
Authors: | Shuang Yang |
| |
Affiliation: | School of Mathematics and Statistics, Southwest University, Chongqing, People's Republic of China |
| |
Abstract: | We study forward asymptotic autonomy of a pullback random attractor for a non-autonomous random lattice system and establish the criteria in terms of convergence, recurrence, forward-pullback absorption and asymptotic smallness of the discrete random dynamical system. By applying the abstract result to both non-autonomous and autonomous stochastic lattice equations with random viscosity, we show the existence of both pullback and global random attractors such that the time-component of the pullback attractor semi-converges to the global attractor as the time-parameter tends to infinity. |
| |
Keywords: | Stochastic lattice equation random viscosity random attractors asymptotic autonomy forward-pullback asymptotic smallness |
|
|