A hydrodynamic model arising in the context of granular media

Citation
D. Benedetto et al., A hydrodynamic model arising in the context of granular media, COMPUT MATH, 38(7-8), 1999, pp. 121-131
Citations number
13
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
ISSN journal
08981221 → ACNP
Volume
38
Issue
7-8
Year of publication
1999
Pages
121 - 131
Database
ISI
SICI code
0898-1221(199910)38:7-8<121:AHMAIT>2.0.ZU;2-9
Abstract
In this note, we propose a formal argument identifying the hydrodynamic lim it of a Fokker-Planck model for granular media appearing in [1]. More preci sely, 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 p roperties of the hydrodynamic model are studied. (C) 1999 Elsevier Science Ltd. All rights reserved.