JournalsowrVol. 7 / No. 4DOI 10.4171/owr/2010/54

Classical and Quantum Mechanical Models of Many-Particle Systems

  • Anton Arnold

    Technische Universität Wien, Austria
  • Eric A. Carlen

    Rutgers University, Piscataway, United States
  • Laurent Desvillettes

    CMLA-ENS, Cachan, France
Classical and Quantum Mechanical Models of Many-Particle Systems cover

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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 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.