Introduction to mean-field models of particle systems（2）

Organizers

Jie Du , Computational & Applied Mathematics Group , Hui Yu

Speaker

Baige Zhou

Time

Wednesday, March 16, 2022 8:00 AM - 9:00 AM

Venue

清华大学六教6B109

Online

Tencent 408 2490 3761 ()

Abstract

Particle systems exhibit various dynamics such as collision, interaction, and collective motions that can lead to lots of applications in biology, physics, and engineering. One major modeling strategy is to start with individual-based models that consist of ordinary differential equations describing the dynamics of each particle due to physical laws, and then derive the mean-field and fluid models in the mesoscopic and macroscopic levels. The models in different scales are suitable for certain applications of great interest. We will present the classic theory on the connection between particle models and McKean-Vlasov equations, and discuss the open questions.