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Preprint-No.: <   405   >   Published in: July 2014   PDF-File: IGPM405.pdf
Title:Large-Time Behavior of Averaged Kinetic Models on Networks
Authors:Michael Herty, Christian Ringhofer
Abstract:
We are interested in flows on general networks and derive a kinetic equation describing general production, social or transportation networks. Corresponding macroscopic transport equations for large time and homogenized behavior are obtained and studied numerically. This work continues a recent discussion [20] and provides additionally explicit equilibrium solutions, second–order macroscopic approximations as well as numerical simulations on a large-scale homogenized network.
Keywords:network dynamics, kinetic theory, asymptotic analysis
DOI: 10.1142/S0218202515500219
Publication:Mathematical models and methods in applied sciences (M 3 AS)
Vol. 25, No. 05, pp. 875-904, (2015)