报告题目:Approximation of Invariant Measures of Dissipative Dynamical Systems on Thin Domains
报告人: 黎定仕 西南交通大学 教授博士生导师
报告时间:11月21日 16:00-18:00
报告地点:明理楼C302B
报告人简介:
黎定仕,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等刊物发表论文多篇。
报告内容摘要:
In this talk, an abstract method is presented to show that upper semicontinuity of invariant measures of dissipative dynamical systems on thin domains. The abstract method presented can be used to many physical systems. As an example, we consider reaction-diffusion equations on thin domains. To this end, we first show the existence of invariant measures of the equations in a bounded domain in $\R^{n+1}$ which can be viewed as a perturbation of a bounded domain in $\R^n$. We then prove that any limit of invariant measures of the perturbed systems must be an invariant measure of the limiting system when the thin domains collapses.
主办单位:理学院 人工智能研究院
科学技术发展研究院