|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|
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  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|
|Publication:||Mathematical models and methods in applied sciences (M 3 AS)|
Vol. 25, No. 05, pp. 875-904, (2015)