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Stochastic Aspects in Nonlinear Discrete Kinetic Theory

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Book cover Nonlinear Stochastic Mechanics

Part of the book series: IUTAM Symposia ((IUTAM))

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Summary

A rarefied gas is often studied by means of the discrete velocity models of the Boltzmann equation. Here we emphasize the analogies between the evolution of the density of a lattice discretization of the Broadwell discrete model, in connection with the large time behaviour, and the evolution of a probability vector towards the equiprobable state.

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References

  1. E. Gabetta: From stochastic mechanics to the discrete Boltzmann equation: the Broadwell model, Math. Comput Modelling, 15, 1 (1991) 1–10.

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Authors and Affiliations

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

    E. Gabetta & L. Pareschi

Authors
  1. E. Gabetta
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  2. L. Pareschi
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Editor information

Editors and Affiliations

  1. Dept. of Mathematics, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129, Torino, Italy

    Nicola Bellomo

  2. Dept. of Structural Mechanics, University of Pavia, Via Abbiategrasso 211, I-27100, Pavia, Italy

    Fabio Casciati

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© 1992 Springer-Verlag Berlin Heidelberg

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Gabetta, E., Pareschi, L. (1992). Stochastic Aspects in Nonlinear Discrete Kinetic Theory. In: Bellomo, N., Casciati, F. (eds) Nonlinear Stochastic Mechanics. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84789-9_20

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  • DOI: https://doi.org/10.1007/978-3-642-84789-9_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84791-2

  • Online ISBN: 978-3-642-84789-9

  • eBook Packages: Springer Book Archive

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