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.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
math.AP 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Existence, uniqueness, and mass-scaling relations with convergence rates are established for non-rotating stellar models in the Euler-Poisson system.
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.
citing papers explorer
-
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.
-
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.
-
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.