题目：Measure Attractors of McKean-Vlasov Delay Lattice Systems Driven by Levy Noise
报告人：王碧祥
邀请人：黎定仕
时间： 5月25日（星期一）16:00-17:00
地点：X30423
摘要：In this talk, we discuss the existence and the limiting behavior of measure attractors of distribution laws of the solution segment process for the McKean-Vlasov stochastic p-Laplace lattice system with time delay driven by Levy noise. The nonlinear drift and diffusion terms areallowed 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 uniqueness of cadlag solutions for the lattice system, and define a non-autonomous cocycle acting on theBorel probability measures in the Skorohod space. This cocycle is continuous in bounded subsets of the space of probability measures only when time is sufficiently large. We then prove the existence of pullback absorbing sets and the asymptotic compactness of the cocycle as wellas 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 noise intensity approaches zero. This is joint work with Zhang Chen and Xiaoxiao Sun.
个人简介：王碧祥，美国新墨西哥矿业理工大学数学系终身教授，主要从事无穷维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，研究主要成果发表于《Mathematische Annalen》,《Transactions of the American Mathematical Society》,《Journal of Functional Analysis》,《SIAM Journal on Applied Dynamical Systems》，《Proceedings of the American Mathematical Society》,《Journal of Differential Equations》,《Science China Mathematics》,《Stochastic Processes and their Applications 》,《Nonlinearity》,《Physica D: Nonlinear Phenomena》,《Journal of Dynamics and Differential Equations》等多个国际知名数学学术期刊上。
