The Hartree equation for infinitely many particles, II: Dispersion and scattering in 2D

@article{Lewin2014TheHE,
  title={The Hartree equation for infinitely many particles, II: Dispersion and scattering in 2D},
  author={M. Lewin and J. Sabin},
  journal={Analysis & PDE},
  year={2014},
  volume={7},
  pages={1339-1363}
}
  • M. Lewin, J. Sabin
  • Published 2014
  • Physics, Mathematics
  • Analysis & PDE
  • We consider the nonlinear Hartree equation for an interacting gas containing infinitely many particles and we investigate the large-time stability of the stationary states of the form $f(-\Delta)$, describing an homogeneous Fermi gas. Under suitable assumptions on the interaction potential and on the momentum distribution $f$, we prove that the stationary state is asymptotically stable in dimension 2. More precisely, for any initial datum which is a small perturbation of $f(-\Delta)$ in a… CONTINUE READING

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