Sur le programme de Kac concernant les limites de champ moyen

Mischler, Stéphane

Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (2009-2010), Exposé no. 33, 19 p.

Résumé

Dans ces notes nous exposons quelques résultats mathématiques classiques et nouveaux concernant les “limites de champ moyen" en théorie cinétique des gaz établis dans [17, 16, 15, 10]. Rappelons qu’établir une “limite de champ moyen" consiste à obtenir un modèle sur la densité statistique de particules en partant d’une famille de modèles décrivant un système composé de $N$ particules et en passant à la limite lorsque $N$ tend vers l’infini.

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