We consider a system of PDEs of Monge-Kantorovich type that, in the isotropic case, describes the stationary configurations of two-layers models in granular matter theory with a general source and a general boundary data. We propose a new weak formulation which is consistent with the physical model and permits us to prove existence and uniqueness results.
Existence and uniqueness of solutions for a boundary value problem arising from granular matter theory / Crasta, Graziano; Malusa, Annalisa. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 259:(2015), pp. 3656-3682. [10.1016/j.jde.2015.04.032]
Existence and uniqueness of solutions for a boundary value problem arising from granular matter theory
CRASTA, Graziano;MALUSA, ANNALISA
2015
Abstract
We consider a system of PDEs of Monge-Kantorovich type that, in the isotropic case, describes the stationary configurations of two-layers models in granular matter theory with a general source and a general boundary data. We propose a new weak formulation which is consistent with the physical model and permits us to prove existence and uniqueness results.| File | Dimensione | Formato | |
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