English

Partial Regularity in Time for the Space Homogeneous Landau Equation with Coulomb Potential

Analysis of PDEs 2019-06-10 v1

Abstract

We prove that the set of singular times for weak solutions of the space homogeneous Landau equation with Coulomb potential constructed as in [C. Villani, Arch. Rational Mech. Anal. 143 (1998), 273-307] has Hausdorff dimension at most 1/2.

Keywords

Cite

@article{arxiv.1906.02841,
  title  = {Partial Regularity in Time for the Space Homogeneous Landau Equation with Coulomb Potential},
  author = {François Golse and Maria Pia Gualdani and Cyril Imbert and Alexis Vasseur},
  journal= {arXiv preprint arXiv:1906.02841},
  year   = {2019}
}