English

Global solutions to the Landau-Fermi-Dirac equation

Analysis of PDEs 2024-10-17 v1

Abstract

We establish a compactness result for solutions of a certain class of hypoelliptic equations. This result allows us to show the existence of global weak solutions to the non-homogeneous Landau-Fermi-Dirac equation with Coulomb potential.

Keywords

Cite

@article{arxiv.2410.12681,
  title  = {Global solutions to the Landau-Fermi-Dirac equation},
  author = {Paulo Sampaio},
  journal= {arXiv preprint arXiv:2410.12681},
  year   = {2024}
}