Abstract
A model recently introduced by Ianiro and Lebowitz is shown to have a global solution for initial data having a finiteH-functional and belonging toL 1 υ (L ∞ x ). Methods previously introduced by Tartar to deal with discrete velocity models are used.
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References
N. Ianiro and J. L. Lebowitz,Found. Phys. 15:531 (1985).
L. C. Tartar, Séminaire Goulaouic-Schwarz (1975/76), No. 1.
L. C. Tartar, University of Wisconsin-Madison, Mathematics Research Center (1980).
L. Arkeryd,Arch. Rat. Mech. Anal. 45:1 (1972).
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Cercignani, C. Global existence of solutions for a model Boltzmann equation. J Stat Phys 49, 1083–1091 (1987). https://doi.org/10.1007/BF01017561
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DOI: https://doi.org/10.1007/BF01017561