报告题目：Uniform Measure Attractors for Non-autonomous Stochastic Delayed Lattice

Systems with High-order Nonlinear Noise

报 告 人：黎定仕，西南交通大学教授

主 持 人：陈锋

时 间：2025年10月20日20：00

地 点：腾讯会议ID: 8046201330

主办单位：长春大学数学与统计学院

摘要：This talk studies uniform measure attractors for nonautonomous stochastic lattice systems with delay driven by high-order nonlinear noise. While previous studies have investigated attractors for stochastic lattice systems with delay, the existence of uniform measure attractors for systems with high-order nonlinear drift and diffusion terms remains unresolved due to the inherent difficulty in obtaining uniform closed absorbing sets under high-order nonlinearities. To address this challenge, we establish an equivalent theoretical framework for uniform measure attractors via $\omega$-limit compactness and uniform asymptotic tightness, which removes the reliance on uniform closed absorbing sets. Within this novel framework, we prove the existence and uniqueness of uniform measure attractors for non-autonomous stochastic delay lattice systems with almost-periodic forcing and high-order nonlinear terms.

报告人简介：黎定仕，西南交通大学教授，博士生导师， 2012年于四川大学动力系统方向博士毕业，2012起在西南交大工作至今, 其中2014.9-2015.9访问美国杨伯翰大学。主持国家自然科学基金面上项目2项，国家自然科学基金青年项目1项，参与国家自然科学基金重点项目1项，在JDE、JDDE、DCDS-A等国际知名刊物发表论文多篇。