Collective Behavior: Macroscopic versus Kinetic Descriptions

On the analysis of a coupled kinetic-fluid model

Young-Pil Choi

Imperial College London

In this talk, we study global existence, hydrodynamic limit, and large-time behavior of weak solutions to a kinetic flocking model coupled to the incompressible Navier-Stokes equations. The model describes the motion of particles immersed in a Navier-Stokes fluid interacting through a local alignment. This is a joint work with Prof. José A. Carrillo and Prof. Trygve K. Karper.