Oberwolfach Reports

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Volume 14, Issue 4, 2017, pp. 3345–3425
DOI: 10.4171/OWR/2017/56

Published online: 2018-12-18

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, USA
(3) Université Paris Diderot, Paris, France

This workshop was dedicated to the presentation of recent results in the field of the mathematical study of kinetic theory and its naturalextensions (statistical physics and fluid mechanics). The main models are the Vlasov(-Poisson) equation and the Boltzmann equation, which are obtainedas limits of many-body equations (Newton’s equations in the classical case and Schrödinger’s equation in the quantum case) thanks to the mean-field and Boltzmann-Grad scalings. Numerical aspects and applications to mechanics, physics, engineering and biology were also discussed.

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Arnold Anton, Carlen Eric, Desvillettes Laurent: Classical and Quantum Mechanical Models of Many-Particle Systems. Oberwolfach Rep. 14 (2017), 3345-3425. doi: 10.4171/OWR/2017/56