Large time behavior of averaged kinetic models on networks

作者:Herty Michael*; Ringhofer Christian
来源:Mathematical Models and Methods in Applied Sciences, 2015, 25(5): 875-904.
DOI:10.1142/S0218202515500219

摘要

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 [Averaged kinetic models for flows on unstructured networks, Kinetic Related Models 4 (2011) 1081-1096] and provides additionally explicit equilibrium solutions, second-order macroscopic approximations as well as numerical simulations on a large scale homogenized network.

  • 出版日期2015-5