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On the cauchy problem for the discrete Boltzmann equation with initial values inL +1 (ℝ)

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Abstract

We prove a global existence theorem for a discrete velocity model of the Boltzmann equation when the initial valuesϕ i (x) have finite entropy and, for some constantα>0, (1+|x|α)ϕ i (x)εL +1 (ℝ).

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Ferrara, Via Machiavelli 35, I-44100, Ferrara, Italy

    G. Toscani

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  1. G. Toscani
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Communicated by J. L. Lebowitz

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Toscani, G. On the cauchy problem for the discrete Boltzmann equation with initial values inL +1 (ℝ). Commun.Math. Phys. 121, 121–142 (1989). https://doi.org/10.1007/BF01218627

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  • DOI: https://doi.org/10.1007/BF01218627

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