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Erschienen in:
2017 | OriginalPaper | Buchkapitel
Transport Problems in Networks
verfasst von : András Bátkai, Marjeta Kramar Fijavž, Abdelaziz Rhandi
Erschienen in: Positive Operator Semigroups
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Consider a closed network of pipes or wires in which some material (water, electrons, information packets, goods, etc.) is flowing at constant speed on each edge, with no friction or loss. In the nodes of the network the material is redistributed into the pipes according to Kirchhoff’s laws. Simplifying the physical laws and concentrating on the structure of the network, this situation can be described by a system of linear transport equations on the edges of a graph.