Authors
Citation
C. Cercignani, MEASURE SOLUTIONS FOR THE STEADY NONLINEAR BOLTZMANN-EQUATION IN A SLAB, Communications in Mathematical Physics, 197(1), 1998, pp. 199-210
Citations number
14
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
ISSN journal
00103616
Volume
197
Issue
1
Year of publication
1998
Pages
199 - 210
Database
ISI
SICI code
0010-3616(1998)197:1<199:MSFTSN>2.0.ZU;2-6
Abstract
We prove that the Boltzmann equation in a slab, with boundary conditio
ns of diffuse reflection and mass conservation at the wall and assigne
d total mass (per unit area) in a slab has at least one non-negative m
easure-valued solution. The physical model is provided by Maxwellian m
olecules with angular cutoff. The equation is rewritten after a change
of variables which is shown to be invertible.