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Discrete and Continuous Dynamical Systems - Series B (DCDS-B)
 

Dispersive behavior in galactic dynamics

Pages: 1 - 16, Volume 14, Issue 1, July 2010      doi:10.3934/dcdsb.2010.14.1

 
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Simone Calogero - Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain (email)
Juan Calvo - Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain (email)
Óscar Sánchez - Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain (email)
Juan Soler - Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain (email)

Abstract: The purpose of this paper is to study the relations between different concepts of dispersive solution for the Vlasov-Poisson system in the gravitational case. Moreover we give necessary conditions for the existence of partially and totally dispersive solutions and a sufficient condition for the occurence of statistical dispersion. These conditions take the form of inequalities involving the energy, the mass and the momentum of the solution. Examples of dispersive and non-dispersive solutions-steady states, periodic solutions and virialized solutions-are also considered.

Keywords:  Galactic dinamics, Vlasov-Poisson, dispersive behavior.
Mathematics Subject Classification:  Primary: 35B05, 35B40, 82B40, 82C40.

Received: September 2009;      Revised: November 2009;      Available Online: April 2010.