Volume 52, Number 1, January–February 2018
|Page(s)||163 - 180|
|Published online||04 May 2018|
Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel
Inria Sophia Antipolis – Méditerranée, Université Côte d’Azur, Inria, CNRS, LJAD, 2004 route des Lucioles – BP 93,
Sophia Antipolis Cedex, France
* Corresponding author: firstname.lastname@example.org
Accepted: 26 December 2017
We prove the well-posedness of entropy weak solutions for a class of scalar conservation laws with non-local flux arising in traffic modeling. We approximate the problem by a Lax-Friedrichs scheme and we provide L∞ and BV estimates for the sequence of approximate solutions. Stability with respect to the initial data is obtained from the entropy condition through the doubling of variable technique. The limit model as the kernel support tends to infinity is also studied.
Mathematics Subject Classification: 35L65 / 65M12
Key words: Non-local conservation laws / Lax-Friedrichs scheme
© EDP Sciences, SMAI 2018
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