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.