讲座主题：Self-similar singular solution of Keller-Segel model with signal consumption

专家姓名：金春花

工作单位：华南师范大学

讲座时间：2025年05月31日 11:00-12:00

讲座地点：烟台大学承先图书馆报告厅

主办单位：烟台大学数学与信息科学学院

内容摘要：

In this talk, we investigate the finite-time blow-up phenomenon in a Keller-Segel model with signal consumption and singular sensitivity. We establish the existence of backward self-similar solutions, demonstrating chemotactic collapse where bacteria concentrate into a Dirac δ-measure while oxygen vanishes completely at the blow-up time. Notably, this occurs for any initial mass size. The results provide insights into bacterial aggregation mechanisms under limited oxygen conditions.

主讲人介绍：

金春花，华南师范大学，教授. 长期从事非线性扩散模型相关理论的研究，研究工作发表Bull. London Math. Soc., JNS, Physica D, Nonlinearity，JDE，JDDE等期刊. 入选教育部新世纪优秀人才支持计划，广东省特支计划——青年拔尖人才，主持完成多项国家自然科学基金，广东省杰出青年基金等课题.