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 [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. &Copy; 2015 World Scientific Publishing Company.
Original language | English (US) |
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Pages (from-to) | 875-904 |
Number of pages | 30 |
Journal | Mathematical Models and Methods in Applied Sciences |
Volume | 25 |
Issue number | 5 |
DOIs | |
State | Published - May 25 2015 |
Keywords
- Network dynamics
- asymptotic analysis
- kinetic theory
ASJC Scopus subject areas
- Modeling and Simulation
- Applied Mathematics