学术报告

【online】Weak KAM and Aubry–Mather theory On graphs

发布人:发布时间: 2020-07-09

字体大小: 【小】 【中】 【大】

题目: Weak KAM and Aubry–Mather theory On graphs

 

报告人: Antonio Siconolfi (Università degli Studi di Roma “La Sapienza” )

 

时间: 2020072115:00 - 16:00

 

报告方式:  Zoom APP  ID654 5189 5068  密码:757748

 

摘要:Even if the structure of graphs is very simple, we show that it is possible to build an adaptation of Weak KAM and Aubry Mather theory in this setting, for a suitable class of Hamiltonians. We recover the main properties of the continuous case. One of the applications we have in mind, , still under investigation, is to extend the homogenization result for Hamilton–Jacobi equations on graphs/networks. A further possible application is to define and study a first order time–dependent Mean Field Games system in this setting. Work in collaboration with Alfonso Sorrentino.

 

邀请人:程伟 老师