Suppression of blow up by mixing in generalized Keller-Segel system with fractional dissipation
报告题目(Title)：Suppression of blow up by mixing in generalized Keller-Segel system with fractional dissipation
报告人(Speaker)：王维克 教授 （上海交通大学）
地点(Place)：腾讯会议：163 869 684
时间(Time)：2021-04-30， 下午3:00-4:00
邀请人(Inviter)：徐桂香
报告摘要
In this talk, we consider the Cauchy problem for a generalized parabolic-elliptic Keller-Segel equation with a fractional dissipation and an additional mixing effect of advection by an incompressible flow. Under a suitable mixing condition on the advection, we study well-posedness of solution with large initial data. We establish the global estimate of the solution through nonlinear maximum principle, and obtain the global existence of classical solution.
主讲人简介
王维克教授，上海交通大学特聘教授，上海交通大学自然科学学院常务院长，上海工业与应用数学会监事长，国际数学杂志《CPAA》合作主编。曾主持获得上海市自然科学一等奖，上海高校教学名师奖，主讲的课程《数学之旅》遴选为国家精品在线课程。
