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

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Date
2004
Dewey
Analyse
Sujet
Streater’s models; Poisson–Boltzmann–Emden equation; existence and uniqueness of stationary solutions; energy; drift-diffusion systems
DOI
http://dx.doi.org/10.1007/978-1-4613-0017-5_2
Book title
Transport in transition regimes
Author
Ringhofer, Christian
Publisher
Springer
Publisher city
Berlin Heidelberg
Year
2004
ISBN
978-1-4612-6507-8
Book URL
10.1007/978-1-4613-0017-5
URI
https://basepub.dauphine.fr/handle/123456789/6709
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Author
Nadzieja, Tadeusz
Markowich, Peter
Dolbeault, Jean
Biler, Piotr
Esteban, Maria J.
Type
Chapitre d'ouvrage
Item number of pages
37-56
Abstract (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.