Large-Time Behavior of Averaged Kinetic Models on Networks

نویسندگان

  • Michael Herty
  • Christian Ringhofer
  • MICHAEL HERTY
  • CHRISTIAN RINGHOFER
چکیده

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. AMS 58F15, 58F17, 53C35

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تاریخ انتشار 2014