Title:The Collective Behavior of the infinite-particle Cucker-Smale Model
Speaker:Xinyu Wang (Harbin Institute of Technology)
Time:Monday, November20, 2023, 09:00-10:00
Location: B201-1, Mingde Building
Abstract:Collective behavior is ubiquitous in natural phenomena, such as the flocking of birds and the swarming of fish. In 2007, Cucker and Smale introduced the well-known Cucker-Smale (CS) model to describe the collective behavior of bird flocks. This study focuses on the clustering behavior of the CS model with an infinite number of particles. Research in this area is divided into two domains: one involves deriving kinetic models corresponding to finite-particle models through mean-field limits, and the other investigates dynamical systems on infinite graphs.
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