Journal
KINETIC AND RELATED MODELS
Volume 4, Issue 4, Pages 1081-1096Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/krm.2011.4.1081
Keywords
Network dynamics; kinetic theory; asymptotic analysis
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Funding
- DFG [HE 5386/6-1]
- NSF [DMS-0604986, DMS-0757309]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0757309] Funding Source: National Science Foundation
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We derive a kinetic equation for flows on general, unstructured networks with applications to production, social and transportation networks. This model allows for a homogenization procedure, yielding a macroscopic transport model for large networks on large time scales.
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