Large time behavior of averaged kinetic models on networks

Michael Herty, Christian Ringhofer

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)875-904
Number of pages30
JournalMathematical Models and Methods in Applied Sciences
Volume25
Issue number5
DOIs
StatePublished - May 25 2015

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Large Time Behavior
Kinetic Model
Kinetics
Second-order Approximation
Transportation Networks
Equilibrium Solution
Kinetic Equation
Transport Equation
Social Networks
Continue
Numerical Simulation
Computer simulation
Industry
Model

Keywords

  • asymptotic analysis
  • kinetic theory
  • Network dynamics

ASJC Scopus subject areas

  • Applied Mathematics
  • Modeling and Simulation

Cite this

Large time behavior of averaged kinetic models on networks. / Herty, Michael; Ringhofer, Christian.

In: Mathematical Models and Methods in Applied Sciences, Vol. 25, No. 5, 25.05.2015, p. 875-904.

Research output: Contribution to journalArticle

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