Communications in Mathematical Physics

, Volume 102, Issue 2, pp 217–235 | Cite as

Large-time behavior of the Broadwell model of a discrete velocity gas

  • J. Thomas Beale


We study the behavior of solutions of the one-dimensional Broadwell model of a discrete velocity gas. The particles have velocity ±1 or 0; the total mass is assumed finite. We show that at large time the interaction is negligible and the solution tends to a free state in which all the mass travels outward at speed 1. The limiting behavior is stable with respect to the initial state. No smallness assumptions are made.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Total Mass 
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Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • J. Thomas Beale
    • 1
  1. 1.Department of MathematicsDuke UniversityDurhamUSA

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