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

We prove the well-posedness 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 ∞ , BV and L 1 estimates for the sequence of approximate solutions constructed by an adapted Lax-Friedrichs scheme.

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Veröffentlicht in:	Numerische Mathematik 2016-02, Vol.132 (2), p.217-241
Hauptverfasser:	Blandin, Sebastien, Goatin, Paola
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Mathematical and Computational Engineering Mathematical and Computational Physics Mathematical Methods in Physics Mathematics Mathematics and Statistics Numerical Analysis Numerical and Computational Physics Simulation Theoretical
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Beschreibung
Zusammenfassung:	We prove the well-posedness 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 ∞ , BV and L 1 estimates for the sequence of approximate solutions constructed by an adapted Lax-Friedrichs scheme.
ISSN:	0029-599X 0945-3245
DOI:	10.1007/s00211-015-0717-6