江苏省应用数学(中国矿业大学)中心系列学术报告
报告题目:Robustness of Periodic Measures of Stochastic Delay Lattice Systems
报告人:黎定仕,西南交通大学教授,博士生导师
报告时间:2023年5月29日9:00-11:00
报告地点:数学学院B301
报告摘要: In this talk, the periodic measures of the stochastic delay reaction-diffusion lattice systems are investigated. Under a general condition, we prove the existence of periodic measures when the time-dependent terms of the system are periodic in time. Under further assumptions on the nonlinear terms, we show the set of all periodic measures of the perturbed system is weakly compact. Finally, we prove every limit point of a sequence of periodic measures of the stochastic delay system must be a periodic measure of the limiting system as the noise intensity or the time delay goes to zero.
专家简介: 黎定仕,博士,教授,博士生导师。2006和2009分别毕业于中国矿业大学计算数学和应用数学专业,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1项,国家自然科学基金青年项目1项,在JDE、JDDE、DCDS-A等国际知名刊物发表论文多篇。