报告题目：Existence of Vortices and Antivortices Generated by Gauged Harmonic Map Model
时 间：2021年10月29日（星期五）下午14：00
地 点：腾讯ID: 597 592 834
主 办：数学与统计学院、福建省分析数学及应用重点实验室、福建省应用数学中心（福建师范大学）、 福建师范大学数学研究中心
参加对象：感兴趣的老师和学生
报告摘要：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，男，河南大学数学与统计学院教授，院长，研究领域为非线性偏微分方程与数学物理，主要成果发表在CMP，JFA,，CPDE，JDE等学术刊物上。