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The topic of this meeting were non-linear partial differential and integro-differential equations (in particular kinetic equations and their macroscopic/fluid-dynamical limits) modeling the dynamics of many-particle systems with applications in physics, engineering, and mathematical biology. Typical questions of interest were the derivation of macro-models from micro-models, the mathematical analysis (well-posedness, stability, asymptotic behavior of solutions), and “to a lesser extent” numerical aspects of such equations. A highlight of this meeting was a mini-course on the recent mathematical theory of Landau damping.
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Anton Arnold, Eric A. Carlen, Laurent Desvillettes, Classical and Quantum Mechanical Models of Many-Particle Systems. Oberwolfach Rep. 7 (2010), no. 4, pp. 3159–3236