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Journal Articles Numerische Mathematik Year : 2016

Well-posedness of a conservation law with non-local flux arising in traffic flow modeling

Abstract

We prove the existence and stability of entropy weak solutions of a scalar conservation law with non-local flux arising in traffic flow modeling. The result is obtained providing accurate L\infty , BV and L1 estimates for the sequence of approximate solutions constructed by an adapted Lax-Friedrichs scheme.
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Dates and versions

hal-00954527 , version 1 (03-03-2014)

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Sebastien Blandin, Paola Goatin. Well-posedness of a conservation law with non-local flux arising in traffic flow modeling. Numerische Mathematik, 2016, ⟨10.1007/s00211-015-0717-6⟩. ⟨hal-00954527⟩
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