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Different types of solutions to a multivalued model of granular flow
Author(s) -
Skonieczna Joanna
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2779
Subject(s) - mathematics , entropy (arrow of time) , flow (mathematics) , statistical physics , thermodynamics , geometry , physics
We deal with a modification of the Savage–Hutter model describing granular material with multivalued friction force. The multivalued structure of this model requires a modification of known definitions of a solution. The connections between definitions of three different types of solutions: entropy, measure‐valued and kinetic are shown. Copyright © 2013 John Wiley & Sons, Ltd.