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报告题目：Dynamics of Stochastic Reaction-Diffusion Equations Driven by Nonlinear Noise

报  告  人：王碧祥  教授（新墨西哥矿业技术大学）

报告时间：2019年9月27日（星期五）下午16:30-17:30

报告地点：4号楼318会议室

邀  请  人：李用声  教授

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数学学院

2019年9月26日

报告摘要：

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.