405 IGPM405.pdf        July 2014
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)