Facets of complexity in chemotactic aggregation

报告题目:Facets of complexity in chemotactic aggregation

报告人: Prof. Michael Winkler

时间：2月19日（星期三），13：30-14：10

地点：明德楼B区201-1

摘要：Keller-Segel type cross-diffusion systems have been playing an outstanding role in the understanding of various patterning phenomena in biology. Concentrating on issues of predominant application relevance, the description of taxis-driven explosions has been among the most challenging topics in their analysis, and a natural focus of the literature in this regard is on the characterization of solution behavior near collapse. The presentation aims at reporting both on classical and on some recent developments, with a particular focus on the identification of circumstances under which solutions either must blow up at single points only, or alternatively may form singularities throughout larger regions in space.