讲座题目: Steady states and qualitative studies of several class of Keller-Segel models

讲座摘要: Chemotaxis is the mechanism by which unicellular or multicellular organisms direct their movements in response to a stimulating chemical in the environment.   Bacterial chemotaxis was discovered by T. W. Engelmann and W. Pfeffer in the 1880s, and more than a century of research has demonstrated its importance in many physiological processes.  In the 1970s, E. Keller and L. Segel proposed a system of two coupled partial differential equations to describe the migrating bands of \textit{E. coli} in a capillary tube filled with oxygen.  The intuitively simple Keller-Segel model possesses very rich spatio-temporal dynamics (e.g., finite-time blow-up, traveling wave, spike steady states) and has enjoyed great academic success over the past few decades.  In this talk, we will present the classical results and recent developments of the Keller-Segel chemotaxis model, as well as the inspiring mathematics developed in the meantime, such as the variation method, singular perturbation, bifurcation theory. We will also introduce some open problems concerning time-dependent and stationary systems.

讲座时间：2023年4月27日（周四）上午9:00

讲座方式：线上开展（腾讯会议，会议号：319 318 069）

嘉宾简介：王琪，毕业于美国杜兰大学并获数学博士学位，现为西南财经大学教授，光华英才工程青年杰出教授，数学、数理金融学博士生导师，主要从事数学中的非线性偏微分方程理论分析与数值计算，应用经济学中的金融时间序列分析、衍生品定价等问题研究，在 J. Comput. Phys., J. Differential Equations, SIAM J. Appl. Dyn. Syst., SIAM J. Appl. Math., SIAM J. Math. Anal. , SIAM J. Num. Anal.等数学期刊与J. Banking Finance, J. Futures Markets等金融期刊发表学术论文30余篇；相关研究获国家自然科学基金、教育部留学回国人员基金、四川省教育厅重点项目基金、四川省科技厅应用项目基金等资助；获得川渝科技大会、四川省数学会等奖励；入(当)选四川省学术与技术带头人后备人选、四川省青年科技联合会理事、四川省海外高级留学回国人员、西南财经大学首批光华百人计划等。