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Steady states for Streater’s energy-transport models of self-gravitating particles

Nadzieja, Tadeusz; Markowich, Peter; Dolbeault, Jean; Biler, Piotr; Esteban, Maria J. (2004), Steady states for Streater’s energy-transport models of self-gravitating particles, dans Ringhofer, Christian, Transport in transition regimes, Springer : Berlin Heidelberg, p. 37-56. 10.1007/978-1-4613-0017-5_2

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Type
Chapitre d'ouvrage
Date
2004
Titre de l'ouvrage
Transport in transition regimes
Auteurs de l’ouvrage
Ringhofer, Christian
Éditeur
Springer
Ville d’édition
Berlin Heidelberg
Isbn
978-1-4612-6507-8
Pages
37-56
Identifiant publication
Métadonnées
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Auteur(s)
Nadzieja, Tadeusz

Markowich, Peter

Dolbeault, Jean cc

Biler, Piotr

Esteban, Maria J. cc
Résumé (EN)
We review Streater’s energy-transport models which describe thetemporal evolution of the density and temperature of a cloud of gravitating particles, coupled to a mean field Poisson equation. In particular we consider the existence of stationary solutions in a boundeddomain with given energy and mass. We discuss the influence of thedimension and geometry of the domain on existence results.
Mots-clés
Streater’s models; Poisson–Boltzmann–Emden equation; existence and uniqueness of stationary solutions; energy; drift-diffusion systems