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arXiv · 1103.0111

A nonhomogeneous boundary value problem in mass transfer theory

Graziano Crasta·Annalisa Malusa
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Abstract

We prove a uniqueness result of solutions for a system of PDEs of Monge-Kantorovich type arising in problems of mass transfer theory. The results are obtained under very mild regularity assumptions both on the reference set $\Omega\subset\mathbf{R}^n$, and on the (possibly asymmetric) norm defined in $\Omega$. In the special case when $\Omega$ is endowed with the Euclidean metric, our results provide a complete description of the stationary solutions to the tray table problem in granular matter theory.

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Graziano Crasta, Annalisa Malusa. 2011-03-01. A nonhomogeneous boundary value problem in mass transfer theory. https://doi.org/10.1007/s00526-011-0426-7

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