ON GROUP INVARIANT SOLUTIONS OF THE BOLTZMANN-EQUATION

Authors
BOBYLEV AV CARAFFINI GL SPIGA G
Citation
Av. Bobylev et al., ON GROUP INVARIANT SOLUTIONS OF THE BOLTZMANN-EQUATION, Journal of mathematical physics, 37(6), 1996, pp. 2787-2795
Citations number
22
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
37
Issue
6
Year of publication
1996
Pages
2787 - 2795
Database
ISI
SICI code
0022-2488(1996)37:6<2787:OGISOT>2.0.ZU;2-0
Abstract
After reviewing the complete Lie group for the full Boltzmann equation , it is shown that projective transformations play a special role in t he general case, and the class of invariant solutions giving rise to h omoenergetic affine flows is presented. Homoenergetic affine flows in the two-dimensional case [potential U(r)proportional to r(-2)] are con sidered in detail: It is shown that the general solution of this probl em can be essentially simplified by projective transformations. (C) 19 96 American Institute of Physics.