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arXiv · 1210.7103

Existence and uniqueness of solutions for a boundary value problem arising from granular matter theory

Graziano Crasta·Annalisa Malusa
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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.

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Graziano Crasta, Annalisa Malusa. 2012-10-26. Existence and uniqueness of solutions for a boundary value problem arising from granular matter theory. https://doi.org/10.1016/j.jde.2015.04.032

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