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A hydrodynamic model arising in the context of granular media

1999; Elsevier BV; Volume: 38; Issue: 7-8 Linguagem: Inglês

10.1016/s0898-1221(99)00243-6

1873-7668

Dario Benedetto, Emanuele Caglioti, François Golse, Mario Pulvirenti,

Granular flow and fluidized beds

In this note, we propose a formal argument identifying the hydrodynamic limit of a Fokker-Planck model for granular media appearing in [1]. More precisely, in the limit of large background temperature and vanishing friction, this hydrodynamic limit is described by the classical system of isentropic gas dynamics with a nonstandard pressure law (specifically, the pressure is proportional to the cube root of the density). Finally, some qualitative properties of the hydrodynamic model are studied.