Authors
Citation
C. Cercignani et al., On diffusive equilibria in generalized kinetic theory, J STAT PHYS, 105(1-2), 2001, pp. 337-352
Citations number
8
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715
→ ACNP
Volume
105
Issue
1-2
Year of publication
2001
Pages
337 - 352
Database
ISI
SICI code
0022-4715(200110)105:1-2<337:ODEIGK>2.0.ZU;2-Z
Abstract
We investigate the solvability of equations
Q(f, f) + epsilon (2)Deltaf = 0
in term of nonnegative integrable densities f is an element of L-+(1)(R-3).
Here, Q(f, f) is a generalized collision operator. If Q is the Boltzmann o
perator, the only solution is 0. In contrast. we show that if Q is the pseu
do-Maxwellian collision operator for granular flow, then there are non-triv
ial weak solutions of (star).