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Abstract: We study a three dimensional continuous model of gravitating matter rotatingat constant angular velocity. In the rotating reference frame, by a finitedimensional reduction, we prove the existence of non radial stationarysolutions whose supports are made of an arbitrarily large number of disjointcompact sets, in the low angular velocity and large scale limit. At firstorder, the solutions behave like point particles, thus making the link with therelative equilibria} in N-body dynamics.



Autor: Juan Campos Serrano CEREMADE, Manuel Del Pino DIM, Jean Dolbeault CEREMADE

Fuente: https://arxiv.org/







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