報(bào) 告 人：郭宏駿 研究員

報(bào)告題目：On the mean speed of bistable transition fronts in unbounded domains

報(bào)告時(shí)間：2023年11月23日（周四）上午8:30-11:30

報(bào)告地點(diǎn)：騰訊會(huì)議：149-223-166

主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院

報(bào)告人簡(jiǎn)介：

       郭宏駿，現(xiàn)為同濟(jì)大學(xué)特聘研究員。2018年畢業(yè)于法國(guó)艾克斯馬賽大學(xué)，導(dǎo)師為Francois Hamel教授，2018-2019年在邁阿密大學(xué)從事博士后研究，2019-2020年在懷俄明大學(xué)從事博士后研究。目前已在ARMA，Math.Ann.，J.Math. Pures Appl.，Calc. Var. PDE等國(guó)際知名雜志發(fā)表SCI論文多篇。

報(bào)告摘要：

       This talk is concerned with the existence and further properties of propagation speeds of transition fronts for bistable reaction-diffusion equations in exterior domains and in some domains with multiple cylindrical branches. In exterior domains we show that all transition fronts propagate with the same global mean speed, which turns out to be equal to the uniquely defined planar speed. In domains with multiple cylindrical branches, we show that the solutions emanating from some branches and propagating completely are transition fronts propagating with the unique planar speed. We also give some geometrical and scaling conditions on the domain, either exterior or with multiple cylindrical branches, which guarantee that any transition front has a global mean speed.