4.2 Article

AVERAGED KINETIC MODELS FOR FLOWS ON UNSTRUCTURED NETWORKS

期刊

KINETIC AND RELATED MODELS
卷 4, 期 4, 页码 1081-1096

出版社

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/krm.2011.4.1081

关键词

Network dynamics; kinetic theory; asymptotic analysis

资金

  1. DFG [HE 5386/6-1]
  2. NSF [DMS-0604986, DMS-0757309]
  3. Division Of Mathematical Sciences
  4. Direct For Mathematical & Physical Scien [0757309] Funding Source: National Science Foundation

向作者/读者索取更多资源

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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