广州数学大讲坛第十六期

第一百五十二讲——中国科学技术大学刘勇教授学术报告

题目：Entire solutions of the magnetic Ginzburg-Landau equation

时间：2022年12月1日（周四）上午9：00-12：00

地点：腾讯会议（会议号：541 731 173）

报告人：刘勇

摘要:  We construct entire solutions of the magnetic Ginzburg-Landau

equations in dimension 4 using Lyapunov-Schmidt reduction. The zero

set of these solutions are close to the minimal submanifolds studied by

Arezzo-Pacard. We also show the existence of a saddle type solution

to the equation, whose zero set consists of two vertical planes in R^4.

These two types of solutions are believed to be energy minimizers of the

corresponding energy functional and lie in the same connect component

of the moduli space of entire solutions.

报告人简介：

刘勇，中国科学技术大学数学科学杏吧传媒 教授，主要从事非线性分析和椭圆型方程（包括Allen-Cahn, Ginzburg-Landau, KP方程等）的研究工作。