报告题目：Stationary States and Asymptotic Behaviours of Aggregation Models with Nonlinear Diffusion

主 讲 人：黄 阳 红

单 位：曼彻斯特大学

时 间：6月17日16:00

ZOOM ID ：2100898623

密 码：123456

摘 要：

We consider the continuum model motivated mainly from mathematical biology, with nonlinear diffusion and aggregation. The steady states and their properties in one dimension are studied both analytically and numerically, suggesting that the quadratic diffusion is a critical case. The focus is on finite-size, monotone and compactly supported equilibria. We also investigate numerically the long time asymptotics of the model by simulations of the evolution equation. Issues such as metastability and local/global stability are studied in connection to the gradient flow formulation of the model.

简 介：

黄阳红，曼彻斯特大学数学系，本科毕业于香港浸会大学，博士毕业于美国加州大学洛杉矶分校，后在加拿大西蒙弗雷泽大学从事博士后研究，2012年至2015年在英国帝国理工学院工作。研究兴趣包括非局部交互模型的精确及渐进稳态解，梯度流系统的粒子逼近，非局部方程的有限差分方法等，在SIAM J. Numer. Anal，SIAM J. Appl. Math，Bull. London Math. Soc.,Physica D，Nonlinearity，J. Differential. Equations.等期刊发表学术论文20余篇。