报告题目：Chemotaxis models in complex frameworks

报告人：  陶有山教授 （东华大学）

报告时间：2016年6月24日上午11:00

报告地点：复杂系统研究所报告厅

报告摘要：Motivated by various biological processes, this talk first briefly introduces five typical chemotaxis models: chemotaxis-growth model, chemotaxis-haptotaxis model, chemotaxis-fluid model with signal consumption, chemotaxis-fluid model withchemical production, and chemotaxis model with indirect signal production. Then this talk focuses on addressing a newly proposed Keller-Segel-Navier-Stokes system modeling the phenomenon of broadcast spawning, such as the coral spawning, in which eggs release a chemical that attracts sperm. We study basic mathematical features of such a model for chemotaxis-fluid interaction. More precisely, under some explicit parameter conditions, the boundedness and decay of a classical solution to the corresponding initial-boundary problem is explored in two- and three-dimensional settings.

报告人简介：

陶有山，东华大学教授。1986年获得南京大学学士学位，1992年获得复旦大学理学硕士学位，1995年毕业于苏州大学并获博士学位。曾多次在美国俄亥俄州立大学、日本东京大学进行学术访问。陶有山教授研究方向为偏微分方程与生物数学，近五年主要研究趋向性数学模型，在JEMS, Poincare, SIMA, JDE, M3AS, JMB等期刊已发表论文60余篇、主持国家基金及省部级项目10余项。现担任国际学术期刊《Nonlinear Anal. RWA》的编委及 Springer 丛书系列《Modelling and simulation in science,engineering and technology》的编委.

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