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A dynamical two-dimensional traffic model in an anisotropic network

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  • The aim of this paper is to build a dynamical traffic model in a dense urban area. The main contribution of this article is to take into account the four possible directions of traffic flows with flow vectors of dimension $4$ and not $2$ as in fluid mechanic on a plan. Traffic flows are viewed as confrontation results between users demands and a travel supply of the network. The model gathers elements of intersection theory and two-dimensional continuum networks.
    Mathematics Subject Classification: Primary: 35Q99, 35Q35; Secondary: 91F99.


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