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Pré-Publication, Document De Travail Année : 2023

Instabilities in generic second order traffic models with relaxation

Résumé

We prove the existence of weak solutions for a class of second order traffic models with relaxation, without requiring the sub-characteristic stability condition to hold. Therefore, large oscillations may arise from small perturbations of equilibria, capturing the formation of stop-and-go waves observed in reality. An analysis of the corresponding travelling waves completes the study.
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Dates et versions

hal-04321589 , version 1 (04-12-2023)

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  • HAL Id : hal-04321589 , version 1

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Paola Goatin, Alessandra Rizzo. Instabilities in generic second order traffic models with relaxation. 2023. ⟨hal-04321589⟩
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