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Relative equilibria in continuous stellar dynamics

Campos Serrano, Juan; Del Pino, Manuel; Dolbeault, Jean (2010), Relative equilibria in continuous stellar dynamics, Communications in Mathematical Physics, 300, 3, p. 765-788. http://dx.doi.org/10.1007/s00220-010-1128-2

Type
Article accepté pour publication ou publié
Date
2010
Nom de la revue
Communications in Mathematical Physics
Volume
300
Numéro
3
Éditeur
Springer
Pages
765-788
Identifiant publication
Métadonnées
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Auteur(s)
Campos Serrano, Juan
Del Pino, Manuel
Dolbeault, Jean cc
Résumé (EN)
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.
Mots-clés
variational methods; symmetry breaking; angular velocity; gravitation; elliptic equations; critical points; solutions with compact support; finite dimensional reduction; radial solutions; N-body problems; relative equilibria; rotation; Stellar dynamics; mass; orbital stability