Abstract
A global existence theorem for discrete velocity models when the initial data are small is presented and commented. The crucial properties used in the proof are compared with properties of the full collision operator in the Boltzmann equation for hard spheres.
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References
Hamdache, K.: Existence globale et comportement asymptotique pour l'équation de Boltzmann à répartition discrète des vitesses, to appear in C.R.A.S.
Illner, R.: Global existence results for discrete velocity models of the Boltzmann equation in several dimensions, Jour. de Meca. Th. et Appl. 1 (4), 1982, 611–622
Illner, R.: Zur Theorie diskreter Geschwindigkeitsmodelle der Boltzmanngleichung, Habilitationsschrift, Kaiserslautern 1981
Tartar, L.: Some existence theorems for semilinear hyperbolic systems in one space variable, MRC Technical Summary Report 1980
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© 1984 Springer-Verlag
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Illner, R. (1984). Discrete velocity models and the Boltzmann equation. In: Ciarlet, P.G., Roseau, M. (eds) Trends and Applications of Pure Mathematics to Mechanics. Lecture Notes in Physics, vol 195. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-12916-2_57
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DOI: https://doi.org/10.1007/3-540-12916-2_57
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Online ISBN: 978-3-540-38800-5
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