Some results on a simple model of kinetic theory

School of Mathematics Colloquium
Thursday, April 15, 2021 - 11:00am for 1 hour (actually 50 minutes)
Federico Bonetto – Georgia Institute of Technology – bonetto@math.gatech.edu
Anton Bernshteyn

In 1955, Mark Kac introduced a simple model to study the evolution of a gas of particles undergoing pairwise collisions. Although extremely simplified to be rigorously treatable, the model maintains interesting aspects of gas dynamics. In recent years, together with M. Loss and others, we worked to extend the analysis to more "realistic" versions of the original Kac model. I will give a brief overview of kinetic theory, introduce the Kac model and explain the standard results on it. Finally I will present to new papers with M. Loss and R. Han and with J. Beck.