Periodic and Almost Periodic Random Inertial Manifolds for Non-Autonomous Stochastic Equations
Dynamical Systems
2014-09-16 v1 Analysis of PDEs
Probability
Abstract
By the Lyapunov-Perron method,we prove the existence of random inertial manifolds for a class of equations driven simultaneously by non-autonomous deterministic and stochastic forcing. These invariant manifolds contain tempered pullback random attractors if such attractors exist. We also prove pathwise periodicity and almost periodicity of inertial manifolds when non-autonomous deterministic forcing is periodic and almost periodic in time, respectively.
Keywords
Cite
@article{arxiv.1409.3883,
title = {Periodic and Almost Periodic Random Inertial Manifolds for Non-Autonomous Stochastic Equations},
author = {Bixiang Wang},
journal= {arXiv preprint arXiv:1409.3883},
year = {2014}
}
Comments
18 pages