Dispersive behavior in galactic dynamics

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July 2010, 14(1): 1-16. doi: 10.3934/dcdsb.2010.14.1

Dispersive behavior in galactic dynamics

Simone Calogero ^1, , Juan Calvo ^1, , Óscar Sánchez ^1, and Juan Soler ^1,

1.	Departamento de Matemática Aplicada, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain, Spain, Spain, Spain

Received September 2009 Revised November 2009 Published April 2010

Abstract
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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: Vlasov-Poisson, Galactic dinamics, dispersive behavior..

Mathematics Subject Classification: Primary: 35B05, 35B40, 82B40, 82C4.

Citation: Simone Calogero, Juan Calvo, Óscar Sánchez, Juan Soler. Dispersive behavior in galactic dynamics. Discrete & Continuous Dynamical Systems - B, 2010, 14 (1) : 1-16. doi: 10.3934/dcdsb.2010.14.1

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