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

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

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 …