Asymptotic periodicity of flows in time-depending networks
Analysis of PDEs
2014-03-12 v2 Dynamical Systems
Functional Analysis
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.
Keywords
Cite
@article{arxiv.1302.4196,
title = {Asymptotic periodicity of flows in time-depending networks},
author = {Fatih Bayazit and Britta Dorn and Marjeta Kramar Fijavž},
journal= {arXiv preprint arXiv:1302.4196},
year = {2014}
}