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
Local energy minimizers for binary-star systems in the Wasserstein L^∞ topology possess gradients, L^∞ neighborhoods, and finite energy, unlike in standard topological vector space topologies.
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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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Gradient Existence and Energy Finiteness of Local Minimizers in the Wasserstein $L^\infty$ Topology for Binary-Star Systems
Local energy minimizers for binary-star systems in the Wasserstein L^∞ topology possess gradients, L^∞ neighborhoods, and finite energy, unlike in standard topological vector space topologies.