Oberwolfach Reports

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Volume 7, Issue 4, 2010, pp. 3159–3236
DOI: 10.4171/OWR/2010/54

Published online: 2011-05-21

Classical and Quantum Mechanical Models of Many-Particle Systems

Anton Arnold[1], Eric A. Carlen[2] and Laurent Desvillettes[3]

(1) Technische Universität Wien, Austria
(2) Rutgers University, Piscataway, United States
(3) CMLA-ENS, Cachan, France

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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Arnold Anton, Carlen Eric, Desvillettes Laurent: Classical and Quantum Mechanical Models of Many-Particle Systems. Oberwolfach Rep. 7 (2010), 3159-3236. doi: 10.4171/OWR/2010/54