Critical mass for infinite-time blow-up a chemotaxis model with indirect signal production

主講人：陶有山 上海交通大學(xué)教授

時(shí)間：2023年9月21日16：30

地點(diǎn)：三號(hào)樓332室

舉辦單位：數(shù)理學(xué)院

主講人介紹：陶有山，上海交通大學(xué)數(shù)學(xué)科學(xué)學(xué)院特聘教授。曾先后于南京大學(xué)(1986)、復(fù)旦大學(xué)(1992)、蘇州大學(xué)(1995)獲理學(xué)學(xué)士、碩士和博士學(xué)位。主要研究方向?yàn)槠⒎址匠?，特別是趨化交叉擴(kuò)散方程，已在數(shù)學(xué)期刊 （其中包括：JEMS, PLMS, AIHPC, JFA, SIAP, SIMA, IP, JMB, JNS）上發(fā)表論文100余篇， MR引用4500余次；2018-2022年連續(xù)5年入選科睿唯安“全球高被引科學(xué)家”?，F(xiàn)擔(dān)任國(guó)際數(shù)學(xué)期刊Nonlinear Analysis: RWA和EMS Surveys in Mathematical Sciences (EMSS) 的編委。

內(nèi)容介紹：This talk addresses the Neumann initial-boundary problem for a chemotaxis system with indirect signal production, which was proposed by Strohm, Tyson and Powell in 2013 to describe the spread and aggregative behavior of the Mountain Pine Bettle (MPB) in a forest habitat. It is shown that this problem exhibits a novel critical mass phenomenon with regard to the formation of singularities, which drastically differs from the well-known threshold property of the classical Keller-Segel system, in that it refers to blow-up in infinite time rather than finite time. The talk is based a joint work with Michael Winkler (Paderborn).