Dinh-Thi, Nguyen (2019): Blow-up profile of neutron stars in the Hartree-Fock-Bogoliubov theory. In: Calculus of Variations and Partial Differential Equations, Vol. 58, No. 6, 202 |

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### Abstract

We consider the gravitational collapse for neutron stars in the Hartree-Fock-Bogoliubov theory. We prove that when the number particle becomes large and the gravitational constant is small such that the attractive interaction strength approaches the Chandrasekhar limit mass slowly, the minimizers develop a universal blow-up profile. It is given by the Lane-Emden solution.

Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |

Subjects: | 500 Science > 510 Mathematics |

ISSN: | 0944-2669 |

Language: | English |

ID Code: | 82347 |

Deposited On: | 15. Dec 2021 15:01 |

Last Modified: | 15. Dec 2021 15:01 |

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