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arXiv · 1710.00538

Blow-up Profile of Neutron Stars in the Chandrasekhar theory

Dinh-Thi Nguyen
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Abstract

We study the Chandrasekhar variational model for neutron stars, with or without an external potential. We prove the existence of minimizers when the attractive interaction strength $τ$ is strictly smaller than the Chandrasekhar limit $τ_c$ and investigate the blow-up phenomenon in the limit $τ\uparrow τ_{c}$. We show that the blow-up profile of the minimizer(s) is given by the Lane-Emden solution.

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Dinh-Thi Nguyen. 2019-07-20. Blow-up Profile of Neutron Stars in the Chandrasekhar theory. https://doi.org/10.1063/1.5085277

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