太阳集团tyc5997学术报告

--- 分析、偏微分方程与动力系统讨论班(2025秋季第9讲)

Mission p<n-1: Possible - Nonlinear Elasticity Beyond Conventional Limits

Stanislav Hencl 教授

（捷克查理大学）

时间：2025-10-16    16：00-17：00  (周四下午)  

地点: 沙河主楼E806

摘要: In this talk we show the lower semicontinuity of a Neohookean-type energy for a model of Nonlinear Elasticity that allows, for the first time, for p<n-1. Our class of admissible deformations consists of weak limits of Sobolev W^{1,p} homeomorphisms. We also introduce a model that allows for cavitations by studying weak limits of homeomorphisms that can open cavities at some points. This is a joint result with A. Dolezalova and D. Campbell. As a main tool in the proof we show that weak limits of Sobolev homeomorphisms are one-to-one a.e. which is a joint result with O. Bouchala and Z. Zhu.

报告人简介: Stanislav Hencl， 捷克查理大学教授、基础数学学院院长，变分学与几何函数论方向国际知名专家，在JEMS、ARMA、Adv. Math、JMPA、JFA、CVPDE等核心期刊发表高水平论文69篇，收到1000多次引用（Mathscinet统计）。

邀请人：朱政

欢迎大家参加！