One of the great mathematical achievements of the late 19th century is the description of the evolution of thermodynamical systems such as gases or fluids by L. Boltzmann. Since then kinetic theory has become a branch of applied and pure mathematics in its own right. While all kinetic equations have in common that they describe the evolution of a phase-space density, nowadays, their applications range from fluid dynamics, plasma physics, biology, to even socio-economical modelling. Many fruitful interactions between these different fields and mathematics as well as mathematical advances not only led to a better understanding of the known models but also gave rise to new questions and challenges.
The purpose of this CIRM Research School is manifold: we want to provide participants, in particular the early career researchers, with the chance to learn how the field of kinetic theory has emerged and how it hase volved over time. In addition we envisage that all participants get up to speed with the current theory and are presented with cutting edge techniques and the current challenges in the field.