Special Session 130: kinetic theory, analysis and application

The sticky particle dynamics with alignment interactions

Changhui Tan
University of South Carolina
USA
Co-Author(s):    Trevor Leslie
Abstract:
In this talk, I will introduce the Euler-alignment system in collective dynamics, which models flocking behavior. The discussion will center on weak solutions, with the goal of isolating a unique solution through the use of an entropic selection principle. Notably, this selection principle aligns with the sticky particle rules applied in the agent-based Cucker-Smale dynamics. I will present an analytical convergence result and discuss the formation of both finite- and infinite-time clusters.