Boundary-layer problem for the Keller-Segel model with physical boundary conditions

讲座名称：Boundary-layer problem for the Keller-Segel model with physical boundary conditions

讲座人：王治安 教授

讲座时间：10月24日10:00-12:00

地点：腾讯会议464-235-970 会议密码：1024

讲座人介绍：

王治安， 香港理工大学应用数学系教授，华中师大本科硕士， 加拿大艾伯塔大学应用数学博士，美国明尼苏达大学应用数学所博士后。主要从事与生物数学相关的偏微分方程建模及分析研究。目前已在Proc. London Math. Soc 、 J. London Math. Soc. 、 J. Math. Biol.、JMPA、CPDE、SIAM J. Math. Anal.、SIAM J. Appl. Math. 、Indiana U. Math. J. 等杂志上发表学术论文100多篇。现担任杂志 J. Mathematical Biology, DCDS-B， MBE等杂志编委。曾获香港数学会青年学者奖。

讲座内容：

In this talk, we shall discuss the boundary layer problem of the singular Keller-Segel model with physical boundary conditions in any dimensions. First, we obtain the existence and uniqueness of boundary-layer solution to the steady-state problem and identify the boundary-layer profile and thickness near the boundary. Then we find the asymptotic expansion of boundary-layer profile in terms of the radius for the radially symmetric domain, which can assert how the boundary curvature affects the boundary-layer thickness. Finally, we establish the nonlinear stability of the unique boundary-layer steady state solution with exponential convergence rate for the radially symmetric domain.

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