PG电子试玩:Critical mass for infinite-time blow-up a chemotaxis model with indirect signal production


主讲人:陶有山 上海交通大学教授




主讲人介绍:陶有山,上海交通大学数学科学学院特聘教授。曾先后于南京大学(1986)、复旦大学(1992)、苏州大学(1995)获理学学士、硕士和博士学位。主要研究方向为偏微分方程,特别是趋化交叉扩散方程,已在数学期刊 (其中包括:JEMS, PLMS, AIHPC, JFA, SIAP, SIMA, IP, JMB, JNS)上发表论文100余篇, MR引用4500余次;2018-2022年连续5年入选科睿唯安“全球高被引科学家”。现担任国际数学期刊Nonlinear Analysis: RWA和EMS Surveys in Mathematical Sciences (EMSS) 的编委。

内容介绍: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).