Publications [#243345] of J. Thomas Beale
Papers Published
- Beale, JT, Large-time behavior of the Broadwell model of a discrete velocity gas,
Communications in Mathematical Physics, vol. 102 no. 2
(June, 1985),
pp. 217-235, Springer Nature, ISSN 0010-3616 [doi]
(last updated on 2024/04/23)Abstract:
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. © 1985 Springer-Verlag.