報告題目:Boundedness and finite-time blow-up in a chemotaxis system with nonlinear signal production
報 告 人:李玉祥教授 東南大學
報告時間:2020年6月22日 10:00-11:00
報告地點:騰訊會議 ID:153 657 676
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校内聯系人:劉長春 liucc@jlu.edu.cn
報告摘要:
In this talk, we study radially symmetric solutions of a parabolic-elliptic chemotaxis system with nonlinear signal production. We find the critical value for a finite-time blow-up solution to exist for system involving the interaction between nonlinear chemo-sensitivity and signal production. For supercritical case, there exist finite-time blow-up solutions for initial data with mass accumulating around the origin, and for subcritical case, there always exist global bounded solutions.
報告人簡介:
李玉祥,東南大學伟德线上平台教授,博士生導師;主要研究方向為偏微分方程及其應用。在生物趨化方程組、趨化流體方程組等方面做出了多項重要研究成果。現已累計在Comm. Math. Phys., J. Differential Equations, 德國Math. Ann.,European J. Appl. Math.等國際重要期刊發表論文幾十篇。主持和完成多項國家自然科學基金面上項目。