报告题目:Boundedness and finite-time blow-up in a chemotaxis system with nonlinear signal production
报 告 人:李玉祥教授 东南大学
报告时间:2020年6月22日 10:00-11:00
报告地点:腾讯会议 ID:153 657 676
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校内联系人:刘长春 liucc@jlu.edu.cn
报告摘要:
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.
报告人简介:
李玉祥,东南大学澳门太阳集团888教授,博士生导师;主要研究方向为偏微分方程及其应用。在生物趋化方程组、趋化流体方程组等方面做出了多项重要研究成果。现已累计在Comm. Math. Phys., J. Differential Equations, 德国Math. Ann.,European J. Appl. Math.等国际重要期刊发表论文几十篇。主持和完成多项国家自然科学基金面上项目。