珠海数学杰出学者讲座第13讲-Introduction to Keller-Segel equations

讲座时间 Datetime: 2023年5月20日，星期六，10:00—12：00

地点 Venue: 海琴2号455

报告人 Speaker: 李玉祥 教授

单位 Affiliation: 东南大学

主持人 Host：陈秀卿 教授

报告摘要 Abstract:

In this talk, I will revisit the Keller-Segel equation, which models chemotaxis, the movement of biological cells or organisms in response to chemical gradients. Nowadays, mathematical modelling of chemotaxis has developed into a large and diverse discipline, whose aspects include its mechanistic basis, the modelling of specific systems and the mathematical behavior of the underlying equations. The Keller-Segel equation has provided a cornerstone for much of this work, its success being a consequence of its intuitive simplicity, analytical tractability and capacity to replicate key behavior of chemotactic populations.

报告人简介：

李玉祥，东南大学数学学院教授，博士生导师，江苏省优秀博士学位论文指导教师，教育部自然科学二等奖获得者。研究方向包括非线性抛物型方程、KPZ方程、趋化方程，在解的有限时刻爆破、整体存在性和渐近性等方面，获得了一些有意义的结果。在Comm. Math. Phys.、Math. Ann.、J. Differential Equations、Ann. Henri Poincaré、European J. Appl. Math.等刊物发表论文50余篇，主持完成多项国家自然科学基金等。