数学科学学院学术报告

--- 分析与偏微分方程讨论班(2023秋季第21讲)

Multiple-end solutions of the Allen-Cahn equation on the plane

刘勇 (中国科学技术大学)

时间：11月27日（周一）上午10:00-11:00

地点：#腾讯会议：281-592-917

点击链接直接加入会议：https://meeting.tencent.com/dm/WkBkXnjJI0TM

摘要: Allen-Cahn equation is a classical model arising from phase transition and closely related to the minimal surface theory. In dimension two, an important class of solutions to this equation is the so called multiple-end solutions. They have finite Morse index. While there already exist some results on the construction of these solutions near the boundary of the whole moduli space of multiple-end solutions, a general variational construction is still missing. In this talk we prove that there exists a family of 6-end solutions with prescribed slopes using minimax arguments. This is joint work with Jun Wang and Wen Yang.

报告人简介: 刘勇，中国科学技术大学教授，研究非线性分析和椭圆方程领域相关问题。近年来，主要研究Allen-Cahn、Ginzburg-Landau、Kadomtsev-

Petviashvili、Gross-Pitaevskii等方程解的存在性和分类等。在ARMA等杂志上发表文章多篇。

邀请人：戴蔚

欢迎大家参加！