Dynamics and Analysis of Alignment Models of Collective Behavior

Roman Shvydkoy is Professor of Mathematics at the University of Illinois at Chicago and a recipient of a 2018 Simons Fellowship in Mathematics.

• Emergent phenomena and overview of existing models.- Agent-based alignment systems.- Forced systems.- Kinetic models.- Macroscopic description. Hydrodynamic limit.- Euler Alignment System.- Local well-posedness and continuation criteria.- One-dimensional theory.- Global solutions to multi-dimensional systems.