Special Session 51: 

Kinetic and hydrodynamic descriptions for the collective dynamics of many-body systems

Seung-Yeal Ha
Seoul National University
Korea
Co-Author(s):    
Abstract:
Self-organization of complex many-body systems has received lots of attention in scientific disciplines such as applied mathematics, biology, control theory of multi-agent system, statistical physics due to many recent applications in cooperative robot system, unmanned aerial vehicles such as drones and sensor networks etc. In this talk, we will discuss several kinetic and hydrodynamic equations arising from the study of classical and quantum many-body systems and present their well-posedness and emergent dynamics.