Existence and uniqueness of solutions for a boundary value problem arising from granular matter theory
arXiv:1210.7103 · doi:10.1016/j.jde.2015.04.032
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.
25 pages, 3 figures