Archive for Rational Mechanics and Analysis

, Volume 169, Issue 4, pp 305–353

Classical Solutions to the Boltzmann Equation for Molecules with an Angular Cutoff


DOI: 10.1007/s00205-003-0262-9

Cite this article as:
Guo, Y. Arch. Rational Mech. Anal. (2003) 169: 305. doi:10.1007/s00205-003-0262-9


An important class of collision kernels in the Boltzmann theory are governed by the inverse power law, in which the intermolecular potential between two particles is an inverse power of their distance. Under the Grad angular cutoff assumption, global-in-time classical solutions near Maxwellians are constructed in a periodic box for all soft potentials with −3<γ<0.

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Division of Applied MathematicsBrown UniversityProvidenceU.S.A