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- W4225663003 abstract "We present an energy functional for a Thomas-Fermi type two-fluid model of a self-gravitating non-rotating charged body, with a non-relativistic kinetic energy. We prove that, under certain conditions on the total number of positively charged and negatively charged particles, a minimizer exists and both fluids have compact support. We prove the same result for special relativistic kinetic energy, assuming further conditions on the total number of particles. In the non-relativistic kinetic energy case, we further prove the uniqueness of the minimizer, as well as present results relating the general shape of the minimizer to the total number of particles." @default.
- W4225663003 created "2022-05-05" @default.
- W4225663003 creator A5027151576 @default.
- W4225663003 date "2022-04-07" @default.
- W4225663003 modified "2023-09-29" @default.
- W4225663003 title "A Two Species Thomas-Fermi Model for Stellar Ground States" @default.
- W4225663003 doi "https://doi.org/10.48550/arxiv.2204.03395" @default.
- W4225663003 hasPublicationYear "2022" @default.
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