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Summary: Mathematisches Forschungsinstitut Oberwolfach
Report No. 54/2010
DOI: 10.4171/OWR/2010/54
Classical and Quantum Mechanical Models of
Many-Particle Systems
Organised by
Anton Arnold, Wien
Eric Carlen, Piscataway
Laurent Desvillettes, Cachan
December 5th December 11th, 2010
Abstract. 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 biol-
ogy. Typical questions of interest were the derivation of macro-models from
micro-models, the mathematical analysis (well-posedness, stability, asymp-
totic 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.
Mathematics Subject Classification (2000): 35Qxx, 82Cxx, 82B40, 81S30.
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