Relative equilibria in continuous stellar dynamics
Campos Serrano, Juan ; Del Pino, Manuel ; Dolbeault, Jean
HAL, hal-00450754 / Harvested from HAL
Text on HAL
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.
Publié le : 2010-07-05
Classification:  Stellar dynamics,  gravitation,  mass,  rotation,  angular velocity,  solutions with compact support,  radial solutions,  symmetry breaking,  orbital stability,  elliptic equations,  variational methods,  critical points,  finite dimensional reduction,  N-body problems,  relative equilibria,  35J20; 35B20; 35B38; 35J60; 35J70; 35Q35; 76P05; 76S05; 82B40,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00450754,
     author = {Campos Serrano, Juan and Del Pino, Manuel and Dolbeault, Jean},
     title = {Relative equilibria in continuous stellar dynamics},
     journal = {HAL},
     volume = {2010},
     number = {0},
     year = {2010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00450754}
}

Campos Serrano, Juan; Del Pino, Manuel; Dolbeault, Jean. Relative equilibria in continuous stellar dynamics. HAL, Tome 2010 (2010) no. 0, . http://gdmltest.u-ga.fr/item/hal-00450754/