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
TypeArticle accepté pour publication ou publié
Journal nameCommunications in Mathematical Physics
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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.
Subjects / Keywordsvariational 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
Showing items related by title and author.
A functional framework for the Keller-Segel system: logarithmic Hardy-Littlewood-Sobolev and related spectral gap inequalities Campos Serrano, Juan; Dolbeault, Jean (2012) Article accepté pour publication ou publié