Solutions globales du système intégro-différentiel non linéaire de Liouville-Boltzmann-Poisson et l'équation spectrale

• Autorzy: M'hamed Kesri
• Języki publikacji: FR EN

Abstrakty

EN

We prove some properties of solutions for the canonical equation of star clusters obtained using the same ideas as in Talpaert's works. Using these properties, we deduce the main result of the paper: in the case of spherical symmetry, if a stationary solution exists, then the total mass of the cluster is infinite.

Kategorie tematyczne

• 70H33: Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction
• 85A05: Galactic and stellar dynamics
• 42B10: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
• 76P05: Rarefied gas flows, Boltzmann equation
• 45K05: Integro-partial differential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2006
• Tom: 106
• Numer: 2
• Strony: 265-281

Daty

wydano

2006

Twórcy

autor

M'hamed Kesri

• Faculté des mathématiques, Université U.S.T.H.B., B.P. 32 El-Alia, Bab-Ezzouar, 16111 Alger, Algérie

Identyfikatory

DOI

10.4064/cm106-2-7