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Letters in Mathematical Physics

, Volume 34, Issue 1, pp 9–16 | Cite as

Positive similarity solutions for a discrete velocity boltzman coagulation-fragmentation model

  • H. Cornille
  • M. Iklé
Article

Abstract

We consider the coagulation-fragmentation model of Slemrod and coworkers which is essentially the two-dimensional Broadwell model including inelastic collisions. We construct two classes of similarity solutions (variableη =x -ζt), positive forη ∈ (- ∞, ∞): the Rankine-Hugoniot solutions and the scalar Riccati similarity solutions. Previous solutions were built up with positivity along half of thex-axis. For the two classes, we determine in the parameter space, building up the solutions, domains corresponding to positive solutions.

Mathematics Subject Classification (1991)

70F35 

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References

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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • H. Cornille
    • 1
  • M. Iklé
    • 2
  1. 1.Service de Physique théoriqueCE SaclayGif-sur-YvetteFrance
  2. 2.Department of MathematicsUniversity of NevadaLas VegasUSA

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