Averaged kinetic models for flows on unstructured networks

Michael Herty; Christian Ringhofer

doi:10.3934/krm.2011.4.1081

Averaged kinetic models for flows on unstructured networks

Michael Herty, Christian Ringhofer

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We derive a kinetic equation for ows 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.

Original language	English (US)
Pages (from-to)	1081-1096
Number of pages	16
Journal	Kinetic and Related Models
Volume	4
Issue number	4
DOIs	https://doi.org/10.3934/krm.2011.4.1081
State	Published - Dec 2011

Keywords

Asymptotic analysis
Kinetic theory
Network dynamics

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation

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10.3934/krm.2011.4.1081

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title = "Averaged kinetic models for flows on unstructured networks",

abstract = "We derive a kinetic equation for ows 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.",

keywords = "Asymptotic analysis, Kinetic theory, Network dynamics",

author = "Michael Herty and Christian Ringhofer",

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AU - Ringhofer, Christian

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KW - Asymptotic analysis

KW - Kinetic theory

KW - Network dynamics

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Averaged kinetic models for flows on unstructured networks

Abstract

Keywords

ASJC Scopus subject areas

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