Similarity solutions of 2-velocity models of the extended Boltzmann equation

Tadeusz Platkowski and Giampiero Spiga

Physica A: Statistical Mechanics and its Applications, 1994, vol. 210, issue 1, 155-164

Abstract: We analyse, in the frame of the extended kinetic theory, travelling wave solutions for the 2-velocity discrete models of the Boltzmann equation. The extended formalism allows for absorption, creation, due to scattering with a background as well as for the existence of external sources of test particles. As a preliminary step, existence, uniqueness and stability of equilibrium states are investigated. We find new, soliton-like solutions, and analyse their dependence of the physical parameters of the model.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:210:y:1994:i:1:p:155-164

DOI: 10.1016/0378-4371(94)00086-7

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