Speaker: 

Qing Du

Institution: 

Columbia University

Time: 

Monday, December 5, 2022 - 4:00pm to 5:00pm

Host: 

Location: 

RH306

Nonlocal interaction has become increasingly noticeable in nature. The modeling and simulation of it presence and its impact lead to new development of mathematical theory. In this lecture, we briefly review some nonlocal models with a finite horizon of interactions, including both nonlocal variational problems and nonlocal conservation laws, motivated by applications ranging from mechanics to traffic flows. We also present examples to illustrate some new elements of the mathematical framework for the analysis and computation of nonlocal models.