报告题目：Breather solutions for the nonlinear wave equation in inhomogeneous media

报 告 人：冀书关，东北师范大学教授

主 持 人：陈锋

时 间：2025年10月30日14：00

地 点：图书馆会议室

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：冀书关，理学博士，教授，博士生导师，数学与统计学院院长，国务院政府特殊津贴专家，国家杰出青年科学基金获得者，国家优秀青年科学基金获得者，教育部新世纪优秀人才支持计划入选者，兼任中国数学会常务理事、吉林省工业与应用数学学会副理事长和吉林省运筹学会副理事长。主要从事微分方程与动力系统研究，于《Arch. Ration. Mech. Anal.》、《SIAM J. Appl.Math.》、《Calc. Var. Partial Differential Equations》和《J. Differential Equations》等学术刊物发表论文70余篇，主持国家自然科学基金、国家重点研发计划课题和教育部博士点基金等项目10余项，获得全国百篇优秀博士学位论文提名奖、吉林省自然科学奖一等奖（第1完成人）和吉林省青年科技奖等多项奖励和荣誉。