Speaker: Prof.Bixiang Wang（New Mexico Institute of Mining and Technology）

Title: Dynamics of Stochastic Reaction-Diffusion Equations Driven by Nonlinear Noise

Time: Fri, Sept.27 2019,PM:16:30-17:30

Location: Room 4318, Building No.4, Wushan Campus

Abstract：

     In this talk, we will discuss the asymptotic behavior of the solutions of the fractional reaction-diffusion equations with polynomial drift terms of arbitrary order driven by nonlinear diffusion terms defined on unbounded domains. We first prove the well-posedness of the equations by the Banach fixed point theorem based on pathwise uniform estimates as well as uniform estimates on average. We then define a mean random dynamical system via the solution operators and prove the existence and uniqueness of weak pullback mean random attractors. We finally establish the existence of invariant measures of the equations when the diffusion terms are Lipschitz continuous functions.