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A hydrodynamic model arising in the context of granular media. (English) Zbl 0946.76096
Summary: We propose a formal argument identifying the hydrodynamic limit of a Fokker-Planck model for granular media. 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.

MSC:
76T25 Granular flows
74E20 Granularity
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