Relative equilibria in continuous stellar dynamics - Archive ouverte HAL
Article Dans Une Revue Communications in Mathematical Physics Année : 2010

Relative equilibria in continuous stellar dynamics

Résumé

We study a three dimensional continuous model of gravitating matter rotating at constant angular velocity. In the rotating reference frame, by a finite dimensional reduction, we prove the existence of non radial stationary solutions whose supports are made of an arbitrarily large number of disjoint compact sets, in the low angular velocity and large scale limit. At first order, the solutions behave like point particles, thus making the link with the relative equilibria} in N-body dynamics.
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Dates et versions

hal-00450754 , version 1 (27-01-2010)

Identifiants

Citer

Juan Campos Serrano, Manuel del Pino, Jean Dolbeault. Relative equilibria in continuous stellar dynamics. Communications in Mathematical Physics, 2010, 300, pp.765-788. ⟨10.1007/s00220-010-1128-2⟩. ⟨hal-00450754⟩
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