江蘇省應用數學(中國礦業大學)中心系列學術報告
報告題目:Robustness of Periodic Measures of Stochastic Delay Lattice Systems
報告人:黎定仕,西南交通大學教授,博士生導師
報告時間:2023年5月29日9:00-11:00
報告地點:伟德bvB301
報告摘要: 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.
專家簡介: 黎定仕,博士,教授,博士生導師。2006和2009分别畢業于中國礦業大學計算數學和應用數學專業,2012年于四川大學動力系統方向博士畢業,2012起在西南交大工作至今,其中2014.9-2015.9訪問美國楊伯翰大學。主持國家自然科學基金面上項目1項,國家自然科學基金青年項目1項,在JDE、JDDE、DCDS-A等國際知名刊物發表論文多篇。