In this note, we propose a formal argument identifyng the hdrodynamic limit of the Fokker-Planck model for granular media appearing in [1]. More precisely, in the limit of large background temperature and vanishing friction, this hudrodynamic limit is described by the classical system of isentropig gas dynamics with a nonstandard preassure law (specifically, the pressure is proportional to the cube root of the density). Finally, some qualitative properties of the hydrodynamic model are studied.
A hydrodynamic model arising in the context of granular media / Benedetto, Dario; Caglioti, Emanuele; F., Golse; Pulvirenti, Mario. - In: COMPUTERS & MATHEMATICS WITH APPLICATIONS. - ISSN 0898-1221. - 38, 7-8:(1999), pp. 121-131. [10.1016/S0898-1221(99)00243-6]
A hydrodynamic model arising in the context of granular media
BENEDETTO, Dario;CAGLIOTI, Emanuele;PULVIRENTI, Mario
1999
Abstract
In this note, we propose a formal argument identifyng the hdrodynamic limit of the Fokker-Planck model for granular media appearing in [1]. More precisely, in the limit of large background temperature and vanishing friction, this hudrodynamic limit is described by the classical system of isentropig gas dynamics with a nonstandard preassure law (specifically, the pressure is proportional to the cube root of the density). Finally, some qualitative properties of the hydrodynamic model are studied.| File | Dimensione | Formato | |
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