One of the central topics in mathematical physics is to understand the transition from microscopic, N-body dynamics to their macroscopic mean- field limits. This includes mean-field limits at both quantum and classical levels. Such studies are connected with Hilbert’s sixth problem to axiomatize physics, thus are of significant theoretical interest. They are also central to the design of multi-scale computational methods.
This school involves 4-6 mini-courses aimed at teaching PhD students and young researchers these topics, such as the mean field limits of N-body quantum dynamics and N-body classical particles, and fluid dynamic limits of kinetic equations, and the corresponding multi-scale numerical methods (Asymptotic-preserving schemes, multi-scale Monte-Carlo methods, and so on).
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