Communications in Mathematical Physics

, Volume 231, Issue 3, pp 391–434

The Landau Equation in a Periodic Box

DOI: 10.1007/s00220-002-0729-9

Cite this article as:
Guo, Y. Commun. Math. Phys. (2002) 231: 391. doi:10.1007/s00220-002-0729-9

Abstract:

 The Landau equation, which was proposed by Landau in 1936, is a fundamental equation to describe collisions among charged particles interacting with their Coulombic force. In this article, global in time classical solutions near Maxwellians are constructed for the Landau equation in a periodic box. Our result also covers a class of generalized Landau equations, which describes grazing collisions in a dilute gas.

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Yan Guo
    • 1
  1. 1.Lefshitz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, RI 02912, USA. E-mail: guoy@cfm.brown.eduUS