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Pré-Publication, Document De Travail Année : 2024

Non-local traffic flow models with time delay: well-posedness and numerical approximation

Résumé

We prove the well-posedness of weak entropy solutions of a scalar non-local traffic flow model with time delay. Existence is obtained by convergence of finite volume approximate solutions constructed by Lax-Friedrich and Hilliges-Weidlich schemes, while the L1 stability with respect to the initial data and the delay parameter relies on a Kruzkov-type doubling of variable technique. Numerical tests are provided to illustrate the efficiency of the proposed schemes, as well as the solution dependence on the delay and look-ahead parameters.
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Dates et versions

hal-04547467 , version 1 (15-04-2024)

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  • HAL Id : hal-04547467 , version 1

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Ilaria Ciaramaglia, Paola Goatin, Gabriella Puppo. Non-local traffic flow models with time delay: well-posedness and numerical approximation. 2024. ⟨hal-04547467⟩
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