Abstract
In this note we shall examine special collisionless solutions to the four velocity Broadwell equations. These solutions are new and seem to have gone unnoticed by other investigators who have worked in this area1. These solutions are apparently stable; that is in numerical simulations they appear as the asymptotic state of the evolving system.
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References
T. Platkowski and R. Illner, Discrete Velocity Models of the Boltzmann Equation: A Survey of the Mathematical Aspects of the Theory, SIAM Review, 30, (1988), pp. 213–255.
J. M. Greenberg and L. L. Aist, Decay Theorems for the Four Velocity Broadwell Equations, submitted to Arch. Rat. Mech. and Anal.
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© 1991 Springer-Verlag New York, Inc.
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Greenberg, J.M., Moler, C. (1991). Collisionless Solutions to the Four Velocity Broadwell Equations. In: Glimm, J., Majda, A.J. (eds) Multidimensional Hyperbolic Problems and Computations. The IMA Volumes in Mathematics and Its Applications, vol 29. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9121-0_11
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DOI: https://doi.org/10.1007/978-1-4613-9121-0_11
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