题目：Mathematical challenges in the study of Keller-Segel type cross-diffusion systems

报告人:  向田 副教授（Renmin University of China）

Abstract: Chemotaxis is now well-known to play important role in many biological applications. A striking feature of such type model is the potential to lead to chemotactic aggregation in the mathematically extreme sense of singularity formation. Accordingly, a large volume of work has been devoted to identifying the situations where either blowup occurs or global bounded solutions exist.  In this talk series, we shall use some prototypical chemotaxis /-growth models to illustrate the aggregation role as well as how to derive prior estimates, especially in the borderline case, so that blowup is entirely ruled out and thus global solvability is ensured.  In particular, we shall qualitatively examine chemotaxis aggregation vs logistic-type damping on boundedness，pattern formation and large time behavior for the minimal Keller-Segel model with growth source in 2- and 3-D smooth and bounded domains.  Along the report, some interesting open questions will be posed.

时间：10月17日(周三) 14:30-16:30

地点：首都师大新教2楼  914 教室

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