SIMILARITY SOLUTIONS OF 2-VELOCITY MODELS OF THE EXTENDED BOLTZMANN-EQUATION

Citation
T. Platkowski et G. Spiga, SIMILARITY SOLUTIONS OF 2-VELOCITY MODELS OF THE EXTENDED BOLTZMANN-EQUATION, Physica. A, 210(1-2), 1994, pp. 155-164
Citations number
11
Categorie Soggetti
Physics
Journal title
ISSN journal
03784371
Volume
210
Issue
1-2
Year of publication
1994
Pages
155 - 164
Database
ISI
SICI code
0378-4371(1994)210:1-2<155:SSO2MO>2.0.ZU;2-3
Abstract
We analyse, in the frame of the extended kinetic theory, travelling wa ve solutions for the 2-velocity discrete models of the Boltzmann equat ion. The extended formalism allows for absorption, creation, due to sc attering with a background as well as for the existence of external so urces of test particles. As a preliminary step, existence, uniqueness and stability of equilibrium states are investigated. We find new, sol ition-like solutions, and analyse their dependence on the physical par ameters of the model.