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

Publication ,  Journal Article
Beale, JT
Published in: Communications in Mathematical Physics
June 1, 1985

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.

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Published In

Communications in Mathematical Physics

DOI

EISSN

1432-0916

ISSN

0010-3616

Publication Date

June 1, 1985

Volume

102

Issue

2

Start / End Page

217 / 235

Related Subject Headings

  • Mathematical Physics
  • 5107 Particle and high energy physics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0105 Mathematical Physics
  • 0101 Pure Mathematics
 

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Beale, J. T. (1985). Large-time behavior of the Broadwell model of a discrete velocity gas. Communications in Mathematical Physics, 102(2), 217–235. https://doi.org/10.1007/BF01229378
Beale, J. T. “Large-time behavior of the Broadwell model of a discrete velocity gas.” Communications in Mathematical Physics 102, no. 2 (June 1, 1985): 217–35. https://doi.org/10.1007/BF01229378.
Beale JT. Large-time behavior of the Broadwell model of a discrete velocity gas. Communications in Mathematical Physics. 1985 Jun 1;102(2):217–35.
Beale, J. T. “Large-time behavior of the Broadwell model of a discrete velocity gas.” Communications in Mathematical Physics, vol. 102, no. 2, June 1985, pp. 217–35. Scopus, doi:10.1007/BF01229378.
Beale JT. Large-time behavior of the Broadwell model of a discrete velocity gas. Communications in Mathematical Physics. 1985 Jun 1;102(2):217–235.
Journal cover image

Published In

Communications in Mathematical Physics

DOI

EISSN

1432-0916

ISSN

0010-3616

Publication Date

June 1, 1985

Volume

102

Issue

2

Start / End Page

217 / 235

Related Subject Headings

  • Mathematical Physics
  • 5107 Particle and high energy physics
  • 4904 Pure mathematics
  • 4902 Mathematical physics
  • 0206 Quantum Physics
  • 0105 Mathematical Physics
  • 0101 Pure Mathematics