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Hydrodynamics from the Dissipative Boltzmann Equation

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Mathematical Models of Granular Matter

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1937))

In this chapter we discuss various questions related with the modeling of hydrodynamic equations for granular gases, starting from the kinetic description based on the dissipative Boltzmann equation. A comparison with the elastic case is briefly presented, together with the main open problems.

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Authors and Affiliations

  1. Department of Mathematics, University of Pavia, via Ferrata 1, 27100, Pavia, Italy

    Giuseppe Toscani

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  1. Giuseppe Toscani
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Editors and Affiliations

  1. Department of Mathematics, University of Pisa, largo Bruno Pontecorvo 5, 56127, Pisa, Italy

    Gianfranco Capriz

  2. Accademia Nazionale dei Lincei, via della Lungara 10, 00165, Roma, Italy

    Gianfranco Capriz

  3. DICeA, University of Florence, via Santa Marta 3, 50139, Firenze, Italy

    Paolo Maria Mariano

  4. Dipartimento di Meccanica e Materiali, Università “Mediterranea” di Reggio Calabria, via Graziella, località Feo di Vito, 89060, Reggio Calabria, Italy

    Pasquale Giovine

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Toscani, G. (2008). Hydrodynamics from the Dissipative Boltzmann Equation. In: Capriz, G., Mariano, P.M., Giovine, P. (eds) Mathematical Models of Granular Matter. Lecture Notes in Mathematics, vol 1937. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78277-3_3

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