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Some alternative methods for hydrodynamic closures to dissipative kinetic models

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Abstract

Two different strategies for deriving hydrodynamic equations for dissipative kinetic models are presented and discussed. The homogeneity scaling approach, not very well-known in the physical literature, is expanded and applied to different show-cases in several applications. Then, we show that this strategy may fail, as it occurs for a thermalized granular gas in a host medium, in which case the problem can be dealt with by resorting to classical moment closure methods.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Parma, Viale G.P. Usberti 53/A, 43124, Parma, Italia

    M. Bisi & G. Spiga

  2. ICREA (Institució Catalana de Recerca i Estudis Avançats) and Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra, Spain

    J.A. Carrillo

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  1. M. Bisi
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  2. J.A. Carrillo
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  3. G. Spiga
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Bisi, M., Carrillo, J. & Spiga, G. Some alternative methods for hydrodynamic closures to dissipative kinetic models. Eur. Phys. J. Spec. Top. 179, 165–178 (2009). https://doi.org/10.1140/epjst/e2010-01201-8

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