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Relative equilibria in continuous stellar dynamics

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Date
2010
Dewey
Analyse
Sujet
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
Journal issue
Communications in Mathematical Physics
Volume
300
Number
3
Publication date
2010
Article pages
765-788
Publisher
Springer
DOI
http://dx.doi.org/10.1007/s00220-010-1128-2
URI
https://basepub.dauphine.fr/handle/123456789/3818
Collections
  • CEREMADE : Publications
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Author
Campos Serrano, Juan
Del Pino, Manuel
Dolbeault, Jean
Type
Article accepté pour publication ou publié
Abstract (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.

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