活动时间：2026-04-22 09:30

活动地点：2号学院楼2432

主讲人：王碧祥

主讲人中文简介：

王碧祥教授于兰州大学获理学学士、硕士与博士学位，现任美国新墨西哥理工大学数学系教授与博士生导师，曾在北京应用物理与计算数学研究所与美国杨百翰大学从事博士后研究工作, 在美国堪萨斯大学担任访问助理教授. 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 篇，主要研究成果发表于《Mathematische Annalen》,《Transactions of the American Mathematical Society》,《Journal of Functional Analysis》,《SIAM Journal on Applied Dynamical Systems》,《Journal of Differential Equations》,《Nonlinearity》,《Physica D: Nonlinear Phenomena》,《Journal of Nonlinear Science》等多个国际数学刊物上。研究成果已被国际同行引用8153（谷歌学术）.

活动内容摘要：

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 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 uniqueness of cadlag solutions for the lattice system, and define a non-autonomous cocycle acting on the Borel 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 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 noise intensity approaches zero. This is joint work with Zhang Chen and Xiaoxiao Sun.

主持人：孙春友