学　术

　　人力资源部教师发展中心“学者论坛”第91期安排如下，欢迎广大师生参加：

　　一、主　题：Some recent developments in the analysis of chemotaxis-fluid interaction

　　二、主讲人：德国Paderborn大学 Michael Winkler 教授

　　三、时　间：2018年3月15日（周四）16：00

　　四、地　点：清水河校区主楼A1-407

　　五、主持人：数学科学学院　向昭银 教授

　　六、交流内容：

　　We consider models for the spatio-temporal evolution of populations of microorganisms, moving in an incompressible fluid, which are able to partially orient their motion along gradients of a chemical signal. According to modeling approaches accounting for the mutual interaction of the swimming cells and the surrounding fluid, we study parabolic chemotaxis systems coupled to the (Navier-)Stokes equations through transport and buoyancy-induced forces. The presentation discusses mathematical challenges encountered even in the context of basic issues such as questions concerning global existence and boundedness, and attempts to illustrate this by reviewing some recent developments. A particular focus will be on strategies toward achieving a priori estimates which provide information sufficient not only for the construction of solutions, but also for some qualitative analysis.

　　七、主讲人简介：

　　Michael Winkler，Universitat Paderborn教授，主要研究兴趣为非线性偏微分方程，已在 Arch Rational Mech Anal.、J European Math Soc.、Trans Amer Math Society、SIAM J Math Anal、J Differential Eq.、Math Models Methods Appl Sci.、Math. Ann等一流数学期刊上发表学术论文近100篇，其中近30篇论文入选ESI高被引、热点论文；目前担任Mathematical Models and Methods in Applied Sciences（中科院一区）、Nonlinear Analysis：Real World Applications（中科院一区）、Journal of Mathematical Analysis and Applications（中科院二区）、Discrete and Continuous Dynamical Systems - Ser B（中科院三区）、Acta Applicandae Mathematicae（中科院三区）等一流SCI数学期刊的编委。

　　八、主办单位：人力资源部教师发展中心

　　　　承办单位：数学科学学院

　　　　　　　　　　　　　　　　　　　　人力资源部教师发展中心

　　　　　　　　　　　　　　　　　　　　　　2018年3月13日