报告题目：The aggregation-diffusion equation with energy critical exponent

报告人： 边慎

报告时间：12月22日周五上午10:00--11:00

报告地点：阜成路校区综合楼1215A

报告简介：

    In this talk, we consider a Keller-Segel model with non-linear porous medium type diffusion and nonlocal attractive power law interaction, focusing on potentials that are less singular than Newtonian interaction. Here, the nonlinear diffusion is chosen to be  in such a way that the associated free energy is conformal invariant and there is a family of stationary solutions  for some constant  and  We analyse under which conditions on the initial data the regime that attractive forces are stronger than diffusion occurs and classify the global existence and finite time blow-up of dynamical solutions by virtue of stationary solutions. Precisely, solutions exist globally in time if the  norm of the initial data is less than the  norm of stationary solutions. Whereas there are blowing-up solutions if the  norm of the initial data is greater than the  norm of stationary solutions.

报告人简介：

  边慎，北京化工大学副教授，德国洪堡学者，主要研究方向为生物数学中的非线性偏微分方程。在CMP，Nonlinearity,

JDE等期刊发表SCI论文十余篇，主持国家自然科学基金两项。