Kinetic Theory: Analysis, Computation and Applications

This volume covers subjects related to the mini-courses delivered during the winter school held at CIRM, Marseille-Luminy, France, from January 18-22, 2021. It formed part of the extensive program ""Kinetic Theory: Analysis, Computation and Applications"" organized at CIRM from January to June 2021, with Shi Jin as the Jean-Morlet Chair and Mihai Bostan as the Local Project Leader. Kinetic equations play an indispensable role in bridging the microscopic scales at the molecular level with the macroscopic scales at the continuum level. Macroscopic fluid flow equations can be derived from mesoscopic kinetic equations or even from microscopic interacting particle systems. This is one of the core areas of partial differential equations and mathematical physics, with a wide range of applications in astronautics, astrophysics, plasma physics, biology, and even the social sciences. This book provides a comprehensive overview of current activity in some of the most important topics of investigation in the field, including collective dynamics, fluid-dynamic limits, mean-field limits, and multiscale numerical methods.