Non-Linear Stability of Gaseous Stars |
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Authors: | Gerhard Rein |
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Institution: | 1.Institut für Mathematik Universit?t Wien Strudlhofgasse 4 A-1090 Vienna, Austria e-mail: gerhard.rein@univie.ac.at,AT |
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Abstract: | We construct steady states of the Euler-Poisson system with a barotropic equation of state as minimizers of a suitably defined
energy functional. Their minimizing property implies the non-linear stability of such states against general, i.e., not necessarily
spherically symmetric, perturbations. The mathematical approach is based on previous stability results for the Vlasov-Poisson
system by Y. Guo and G. Rein, exploiting the energy-Casimir technique. The analysis is conditional in the sense that it assumes the existence of solutions to the initial value problem for the Euler-Poisson system which preserve mass and energy. The
relation between the Euler-Poisson and the Vlasov-Poisson system in this context is also explored.
(Accepted January 30, 2003)
Published online May 14, 2003
Communicated by P.J. Holmes |
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Keywords: | |
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