摘要

In this tal,we discuss the existence and the limitingbehavior of measure attractors of distribution laws of the solution segment process for the McKean-Vlasov stochastic p-Laplace lattice system with time delay drivenby Levy noise.The nonlinear drift and diffusion terms are allowed to have superlinear growth.Due to time delay,the Skorohod metric space is employed to describe the trajectories of the solutions with jumps.We first prove the existence and uniquenessof cadlag solutions for such system,and define a non-autonomous cocycle acting on the Borel probability measures in the Skorohod space.We then prove the existence of pullback absorbing sets and the asymptotic compactness of the cocycle as well as the existence and uniqueness of pullback measure attractors.We finally investigate the limiting behavior of measure attractors of the lattice system without delay as the noiseintensity approaches zero.This is joint work with Zhang Chen and Xiaoxiao Sun.

报告人简介

王碧祥教授现任美国新墨西哥理工大学数学系教授与博士生导师，王碧祥教授主要从事确定与随机动力系统和非线性偏微分方程理论与应用等领域的研究，目前已发表SCI论文150余篇，主要研究成果发表于Math.Ann.,Trans.Amer.Math.Soc.,J.Funct.Anal.,SIAM J.Appl.Dyn.Syst.,J.Differ.Eau.,Nonlinearity,Phys.D,J.Nonlinear Sci.等多个国际数学刊物上。研究成果已被国际同行引用8100余次(谷歌学术).