Dynamical Collapse of White Dwarfs in Hartree- and Hartree-Fock Theory

@article{Frhlich2007DynamicalCO,
  title={Dynamical Collapse of White Dwarfs in Hartree- and Hartree-Fock Theory},
  author={J{\"u}rg Fr{\"o}hlich and Enno Lenzmann},
  journal={Communications in Mathematical Physics},
  year={2007},
  volume={274},
  pages={737-750}
}
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… CONTINUE READING