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arXiv · 1302.4196

Asymptotic periodicity of flows in time-depending networks

Fatih Bayazit·Britta Dorn·Marjeta Kramar Fijavž
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Abstract

We consider a linear transport equation on the edges of a network with time-varying coefficients. Using methods for non-autonomous abstract Cauchy problems, we obtain well-posedness of the problem and describe the asymptotic profile of the solutions under certain natural conditions on the network. We further apply our theory to a model used for air traffic flow management.

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Fatih Bayazit, Britta Dorn, Marjeta Kramar Fijavž. 2013-02-18. Asymptotic periodicity of flows in time-depending networks. https://doi.org/10.3934/nhm.2013.8.843

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