報(bào)告題目：Approximation of Invariant Measures of Dissipative Dynamical Systems on Thin Domains

報(bào)告人： 黎定仕  西南交通大學(xué) 教授博士生導(dǎo)師

報(bào)告時(shí)間：11月21日 16:00-18:00

報(bào)告地點(diǎn)：明理樓C302B

報(bào)告人簡(jiǎn)介：

黎定仕，教授，博士生導(dǎo)師， 2012年于四川大學(xué)動(dòng)力系統(tǒng)方向博士畢業(yè)，2012起在西南交大工作至今, 其中2014.9-2015.9訪(fǎng)問(wèn)美國(guó)楊伯翰大學(xué)。主持國(guó)家自然科學(xué)基金面上項(xiàng)目2項(xiàng)，國(guó)家自然科學(xué)基金青年項(xiàng)目1項(xiàng)，參與國(guó)家自然科學(xué)基金重點(diǎn)項(xiàng)目1項(xiàng)，在JDE、JDDE、DCDS-A等刊物發(fā)表論文多篇。

報(bào)告內(nèi)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.

主辦單位：理學(xué)院 人工智能研究院 

科學(xué)技術(shù)發(fā)展研究院