演講公告
新聞標題: ( 2024-04-16 )
演講主題:Multiple-collapsing blowup solutions for the 2D Keller-Segel system
主講人:Van Tien Nguyen 教授(台大數學系)
演講日期:2024年4月23日(二) 14:00 –15:00
演講地點:(光復校區) 科學一館223室
摘要內容:
Abstract. It is well known that the 2D Keller-Segel system has finite time blowup solutions if the initial density has total mass greater than and finite second moment. We have several constructive examples showing that the solution blows up with the only -mass concentration. We will exhibit a new blowup mechanism formed by a collision of two sub-collapses, resulting in a -mass concentrating solution. A similar phenomenon appears in the 2D mass critical NLS by the work of Martel-Raphael in 2018, where the construction relies on two specific features: a conformal invariance and a minimal mass blowup constraint. These properties are not available for parabolic equations such as the Keller-Segel system. We bring here for the first time a directly rigorous construction of such a multiple-collapsing blowup solution.相關檔案:Talk_1130423.pdf