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Different types of solutions to a multivalued model of granular flow
Authors:Joanna Skonieczna
Affiliation:Institute of Applied Mathematics and Mechanics, University of Warsaw, , Banacha 2, 02‐097 Warszawa, Poland
Abstract: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.
Keywords:nonlinear partial differential equations  hyperbolic conservation laws  weak entropy solutions  kinetic formulation  measure‐valued solution  avalanches  granular flow  Savage–  Hutter model
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