Random Inertial Manifolds for Stochastic Equations

2017-05-24 数学系点击：[]

报告人：Bixiang Wang， Professor， New Mexico Institute of Mining and Technology

报告题目：Random Inertial Manifolds for Stochastic Equations

报告摘要：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.

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