广州数学大讲坛第十四期

第一百三十一讲——河南大学韩小森教授学术报告

题目：Existence of Vortices and Antivortices Generated by Gauged Harmonic Map Model

时间：11月10号（周四）上午16：00-17:00

地点：腾讯会议（会议ID：786-577-275）

报告人：韩小森 教授

摘要:In this talk we review some existence theorems concerning the vortex solutions for some nonlinear PDE systems arising in a dually gauged harmonic map model. For the equations over a compact surface, we obtain necessary and sufficient conditions for the existence of solutions. For the equations over the full plane, we obtain all finite-energy solutions. In addition, we also present precise expressions giving the values of various physical quantities of the solutions, including magnetic charges and energies, in terms of the total numbers of vortices and antivortices, of two species and the coupling parameters involved.

报告人简介：

韩小森，河南大学数学与统计杏吧传媒 教授、院长。2009年6月在东南大学获得博士学位。2011年4月起任河南大学副教授。先后在纽约大学、台湾大学、罗马第二大学做访问学者。研究方向为场论中出现的非线性偏微分方程与非线性分析。研究成果主要发表在Communications in Mathematical Physics，Proceedings of the Royal Society of London A，Transactions of the American Mathematical Society，Calculus of Variations and Partial Differential Equations，Journal of Functional Analysis，Journal of Differential Equations，Nuclear Physics B，Journal of High Energy Physics等国际学术刊物上。主持国家自然科学基金（天元）、国家自然科学基金（青年基金）以及国家自然科学基金面上项目多项。