报告题目：Debye Layer in Poisson-Boltzmann Model with Isolated Singularities

主 讲 人：谢佳佑

单 位：香港中文大学

时 间：5月29日10:30

ZOOM ID：975 2011 3597

密 码：123456

摘 要：

In this talk, we will show the existence of solutions to the charge-conserving Poisson-Boltzmann equation with Dirichlet boundary condition. In two dimensional space, the solutions can have isolated singularities at prescribed points in the domain. As for higher dimensional case, all isolated singularities are removable. As a small parameter tends to zero, solutions to the charge-conserving Poisson-Boltzmann equation develop boundary layers. In the interior of the domain, solutions converge to a unique constant. The limiting constant is explicitly calculated in terms of a novel formula which depends only on the Dirichlet boundary data. In addition, we give aquan-titativedescription on the asymptotic behavior of the solutions. This is a joint work with Yong Yu (CUHK).

简 介：

谢佳佑，香港中文大学数学系研究员。2014年博士毕业于台湾大学数学系。先后为台湾大学、香港城市大学、台湾理论科学研究中心、香港中文大学博士后。其主要研究领域为偏微分方程：包含非线性椭圆方程和抛物方程的理论分析，及其在物理、生物方面的应用。主要研究成果发表在Arch. Ration. Mech. Anal.，J. Differential Equations，SIAM J. Math. Anal.，Commun. Math. Sci.等期刊。