講座主題：Self-similar singular solution of Keller-Segel model with signal consumption
專家姓名：金春花
工作單位：華南師范大學
講座時間：2025年05月31日 11:00-12:00
講座地點：煙臺大學承先圖書館報告廳
主辦單位：煙臺大學數學與信息科學學院
內容摘要：
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.
主講人介紹：
金春花，華南師范大學，教授. 長期從事非線性擴散模型相關理論的研究，研究工作發表Bull. London Math. Soc., JNS, Physica D, Nonlinearity，JDE，JDDE等期刊. 入選教育部新世紀優秀人才支持計劃，廣東省特支計劃——青年拔尖人才，主持完成多項國家自然科學基金，廣東省杰出青年基金等課題.
