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

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  • Platkowski, Tadeusz
  • Spiga, Giampiero

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.

Suggested Citation

  • Platkowski, Tadeusz & Spiga, Giampiero, 1994. "Similarity solutions of 2-velocity models of the extended Boltzmann equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(1), pages 155-164.
    • Handle: RePEc:eee:phsmap:v:210:y:1994:i:1:p:155-164
    DOI: 10.1016/0378-4371(94)00086-7
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    References listed on IDEAS

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    1. Calderan, R. & Spiga, M. & Vestrucci, P., 1992. "Energy modelling of a cogeneration system for a food industry," Energy, Elsevier, vol. 17(6), pages 609-616.
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