Archive for Rational Mechanics and Analysis

, Volume 193, Issue 1, pp 21–55

Smoothing Effects for Classical Solutions of the Full Landau Equation

Authors

    • Department of MathematicsBeijing Institute of Technology
    • CMLA, ENS Cachan, CNRS, PRES UniverSud
  • Laurent Desvillettes
    • CMLA, ENS Cachan, CNRS, PRES UniverSud
  • Lingbing He
    • CMLA, ENS Cachan, CNRS, PRES UniverSud
    • Department of Mathematical SciencesTsinghua University
Article

DOI: 10.1007/s00205-009-0223-z

Cite this article as:
Chen, Y., Desvillettes, L. & He, L. Arch Rational Mech Anal (2009) 193: 21. doi:10.1007/s00205-009-0223-z

Abstract

In this work, we consider the smoothness of the solutions to the full Landau equation. In particular, we prove that any classical solutions (such as the ones obtained by Guo in a “close to equilibrium” setting) become immediately smooth with respect to all variables. This shows that the Landau equation is a nonlinear and nonlocal analog of an hypoelliptic equation.

Copyright information

© Springer-Verlag 2009