Existence of local energy minimizers for the Euler-Poisson system is proven for small mass ratios, yielding stable rotating star-planet solutions for polytropic indices in two ranges.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Existence, uniqueness, and mass-scaling relations with convergence rates are established for non-rotating stellar models in the Euler-Poisson system.
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Existence for Stable Rotating Star-Planet Systems
Existence of local energy minimizers for the Euler-Poisson system is proven for small mass ratios, yielding stable rotating star-planet solutions for polytropic indices in two ranges.
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Revisiting Non-Rotating Star Models: Classical Existence and Uniqueness Theory and Scaling Relations
Existence, uniqueness, and mass-scaling relations with convergence rates are established for non-rotating stellar models in the Euler-Poisson system.