405	RWTH Publication No: 442958        2014        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)