We study an optimal mass transport problem between two equal masses on a metric graph where the cost is given by the distance in the graph. To solve this problem we find a Kantorovich potential as the limit of p−Laplacian type problems in the graph where at the vertices we impose zero total flux boundary conditions. In addition, the approximation procedure allows us to find a transport density ...

We prove the existence of optimal transport maps for the Monge problem when the cost is a Finsler distance on a compact manifold. Our point of view consists in considering the distance as a Mañé potential, and to rely on recent developments in the theory of viscosity solutions of the Hamilton-Jacobi equation. Résumé: On montre l’existence d’une application de transport optimale pour le problème...

We deal with an optimal matching problem, that is, we want to transport two measures to a given place, where they will match, minimizing the total transport cost that in our case is given by the sum of the Euclidean distance that each measure is transported. We show that such a problem has a solution. Furthermore we perform a method to approximate the solution of the problem taking limit as p→∞...

A spreadsheet‐based manure transport and land application decision tool, MANURE$HAUL, was developed to provide farmers, custom applicators, and others involved with manure management a manure cost and labor calculator for liquid manure systems using top‐loading tank spreaders and nurse tanks. The manure hauling capacity was a function of the machinery set selected, manure tank capacity, and hau...

We address the Monge problem in metric spaces with a geodesic distance: (X, d) is a Polish space and dN is a geodesic Borel distance which makes (X, dN ) a possibly branching geodesic space. We show that under some assumptions on the transference plan we can reduce the transport problem to transport problems along family of geodesics. We introduce two assumptions on the transference plan π whic...

Long-distance telephone companies in the United States (U.S.) pay access fees to local telephone companies to transport calls that originate and terminate on their networks. These charges form the largest portion of the cost of providing long-distance service. Recent changes in the structure of access rates, which were mandated by the Federal Communications Commission (FCC), have created opport...

the aim of this study is investigating the transport mechanism of ibuprofen chiral isomers inside singlewall carbon nano tube (swcnt) using mathematical modeling. to achieve this goal, molecular dynamicssimulation has been performed to evaluate the interactions of ibuprofen isomers with swcnt in an aqueoussolution. results show that both chiral forms of ibuprofen molecules enter and remain insi...