 
Summary: Mathematisches Forschungsinstitut Oberwolfach
Report No. 51/2003
Classical and Quantum Mechanical Models of
ManyParticle Systems
November 23rd November 29th, 2003
Introduction
This Oberwolfach meeting was mainly devoted to the mathematical study of kinetic
theory and its relationship with quantum mechanics. The workshop had 47 participants,
and among them 12 "young participants", i.e. Ph.D. students or recent postdocs. One of
them could even benefit from the new NSF project US Junior Oberwolfach Fellows.
Almost all of the participants have attended the complete workshop talks. On top of
that, many informal scientific discussions as well as intense work on concrete mathematical
problems have taken place among the participants.
The meeting was structured around three long "surveystyle" talks of two hours each.
In addition, there were talks of 30 minutes and a few short talks illustrating the posters.
The following three specific problems have been addressed:
· First, the use of entropy / entropy dissipation methods and their applications to
the large time behaviour of kinetic equations (and parabolic equations). Some of
the talks (and in particular the survey by C. Villani) were devoted to the most
recent progress here: the socalled "hypocoercivity" concept.
