Fröhlich, Jürg and Lenzmann, Enno.
(2007)
* Dynamical collapse of white dwarfs in Hartree- and Hartree-Fock theory.*
Communications in Mathematical Physics, 274 (3).
pp. 737-750.

Full text not available from this repository.

Official URL: http://edoc.unibas.ch/49586/

Downloads: Statistics Overview

## Abstract

We study finite-time blow-up for pseudo-relativistic Hartree- and Hartree-Fock equations, which are model equations for the dynamical evolution of white dwarfs. In particular, we prove that radially symmetric initial configurations with negative energy lead to finite-time blow-up of solutions. Furthermore, we derive a mass concentration estimate for radial blow-up solutions. Both results are mathematically rigorous and are in accordance with Chandrasekhar’s physical theory of white dwarfs, stating that stellar configurations beyond a certain limiting mass lead to “gravitational collapse” of these objects. Apart from studying blow-up, we also prove local well-posedness of the initial-value problem for the Hartree- and Hartree-Fock equations underlying our analysis, as well as global-in-time existence of solutions with sufficiently small initial data, corresponding to white dwarfs whose stellar mass is below the Chandrasekhar limit.

Faculties and Departments: | 05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Analysis (Lenzmann) |
---|---|

UniBasel Contributors: | Lenzmann, Enno |

Item Type: | Article, refereed |

Article Subtype: | Research Article |

Publisher: | Springer |

ISSN: | 0010-3616 |

e-ISSN: | 1432-0916 |

Note: | Publication type according to Uni Basel Research Database: Journal article |

Identification Number: | |

Last Modified: | 28 Nov 2017 08:37 |

Deposited On: | 28 Nov 2017 08:37 |

Repository Staff Only: item control page