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Boltzmann-type equation in anelastic case: a convergence result


  • Luca Grilli



In this paper a convergence result for the BBGKY hierarchy to a Boltzmann-like equation, in the case of anelastic collision, is shown. Boltzmann-like equations are often used to model dissipative dynamical systems such as granular media. This convergence result aims to make a contribution towards a mathematical foundation to these applications.

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  • Luca Grilli, 2003. "Boltzmann-type equation in anelastic case: a convergence result," Quaderni DSEMS lg_lmp_2003, Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia.
  • Handle: RePEc:ufg:qdsems:lg_lmp_2003

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    1. Bernaschi, Massimo & Grilli, Luca & Vergni, Davide, 2002. "Statistical analysis of fixed income market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 308(1), pages 381-390.
    2. R. Mantegna, 1999. "Hierarchical structure in financial markets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 11(1), pages 193-197, September.
    3. R. Baviera & M. Pasquini & M. Serva & D. Vergni & A. Vulpiani, 1999. "Efficiency in foreign exchange markets," Papers cond-mat/9901225,
    4. J.-P. Bouchaud & M. Potters & M. Meyer, 2000. "Apparent multifractality in financial time series," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 13(3), pages 595-599, February.
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    Boltzmann equation; BBGKY; Microscopical models; Granular Media;

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