报告题目：重新审视Keller-Segel方程组

报告人：李玉祥（东南大学，教授）

报告时间：2022年11月9日 13：30-14：30

报告地点：腾讯会议ID：824-725-894

校内联系人：王金环

报告摘要：In this talk, I will revisit the qualitative properties of 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.在本次演讲中，作者将重新审视凯勒-西格尔方程解的定性性质。该方程模拟趋化性，生物细胞或生物体再受化学势作用下的运动。如今，趋化模型已发展成为一门庞大而多样化的学科，它包括其机理基础，特定系统的建模以及基础方程的数学行为。Keller-Segel方程为这项工作提供了基石，它的成功是其直观的简单性，分析可追溯性和复制趋化性群体关键行为的能力的结果。