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• W2059593833 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." @default.
• W2059593833 created "2016-06-24" @default.
• W2059593833 creator A5056733786 @default.
• W2059593833 date "2003-06-01" @default.
• W2059593833 modified "2023-10-16" @default.
• W2059593833 title "Non-Linear Stability of Gaseous Stars" @default.
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• W2059593833 doi "https://doi.org/10.1007/s00205-003-0260-y" @default.
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