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

Well-posedness of a conservation law with non-local flux arising in traffic flow modeling (Q2634607)

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Well-posedness of a conservation law with non-local flux arising in traffic flow modeling
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    Well-posedness of a conservation law with non-local flux arising in traffic flow modeling (English)
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    17 February 2016
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    A well-posedness result of entropy weak solutions of a scalar conservation law with non-local flux arising in traffic flow modeling is proved. The obtained result provides accurate \(L^\infty\), BV and \(L^1\) estimates for the sequence of approximate solutions constructed by an adapted Lax-Friedrichs scheme.
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    well-posedness
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    entropy weak solution
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    conservation law
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    non-local flux
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    Lax-Friedrichs scheme
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    traffic flow modeling
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