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Networks and Heterogeneous Media

2013, Volume 8, Issue 3: 649-661. doi: 10.3934/nhm.2013.8.649
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Coupling of microscopic and phase transition models at boundary

  • 1.
    Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, via R. Cozzi 53 - Edificio U5, 20125 - Milano
  • 2.
    Joseph and Loretta Lopez Chair Professor of Mathematics, Department of Mathematical Sciences and Program Director, Center for Computational and Integrative Biology, Rutgers University - Camden, 311 N 5th Street, Camden, NJ 08102
  • Received: 01 March 2013 Revised: 01 July 2013

  • Primary: 90B20; Secondary: 35L65.

  • This paper deals with coupling conditions between the classical microscopic Follow The Leader model and a phase transition (PT) model. We propose a solution at the interface between the two models. We describe the solution to the Riemann problem.

    Citation: Mauro Garavello, Benedetto Piccoli. Coupling of microscopic and phase transition models at boundary[J]. Networks and Heterogeneous Media, 2013, 8(3): 649-661. doi: 10.3934/nhm.2013.8.649

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  • This paper deals with coupling conditions between the classical microscopic Follow The Leader model and a phase transition (PT) model. We propose a solution at the interface between the two models. We describe the solution to the Riemann problem.


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