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Tams Mtrai, Eszter Sikolya

Asymptotic behavior of flows in networks

Using functional analytical and graph theoretical methods, we extend the results of [Kramar M. und Sikolya E.: Spectral properties and asymptotic periodicity of flows in networks. Math. Z. 249 (2005), 139–162] to more general transport processes in networks allowing space dependent velocities and absorption. We characterize asymptotic periodicity and convergence to an equilibrium by conditions on the underlying directed graph and the (average) velocities.

Forum Mathematicum, Walter de Gruyter

Print ISSN: 0933-7741
Volume: 19, 05/2007
Pages: 429 - 461

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