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  1. Article

    Open Access

    A nonlocal Lagrangian traffic flow model and the zero-filter limit

    In this study, we start from a Follow-the-Leaders model for traffic flow that is based on a weighted harmonic mean (in Lagrangian coordinates) of the downstream car density. This results in a nonlocal Lagrangi...

    G. M. Coclite, K. H. Karlsen, N. H. Risebro in Zeitschrift für angewandte Mathematik und … (2024)

  2. Article

    Open Access

    On a singular limit as \(\theta \rightarrow 0\) for a model for the evolution of morphogens in a growing tissue

    This paper is devoted to the singular limit of a model for the regulation of growth and patterning in develo** tissues by diffusing morphogens. The model is governed by a system of nonlinear PDEs. The argume...

    G. M. Coclite, M. Coclite in Zeitschrift für angewandte Mathematik und Physik (2023)

  3. Article

    Open Access

    Qualitative Aspects in Nonlocal Dynamics

    In this paper, we investigate, through numerical studies, the dynamical evolutions encoded in a linear one-dimensional nonlocal equation arising in peridynamics. The different propagation regimes ranging from ...

    G. M. Coclite, S. Dipierro, G. Fanizza in Journal of Peridynamics and Nonlocal Model… (2023)

  4. No Access

    Article

    On a model for the evolution of morphogens in a growing tissue II: \(\varvec{\theta = \log (2)}\) case

    We analyze a model for the regulation of growth and patterning in develo** tissues by diffusing morphogens. We prove the well-posedness of the underlying systems of nonlinear PDEs. The key tool in the analys...

    G. M. Coclite, M. M. Coclite in Zeitschrift für angewandte Mathematik und Physik (2017)