Conservation Laws and O.D.E.s. A Traffic Problem

Rinaldo M. Colombo () and Andrea Marson ()
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Rinaldo M. Colombo: Dipartimento di Matematica
Andrea Marson: Dipartimento di Matematica Pura e Applicata

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 455-461 from Springer

Abstract: Abstract Motivated by a problem of traffic flow, we consider an ordinary differential equation whose vector field depends upon the solution of a conservation law. The Cauchy problem related to the O.D.E. does not fit in the results currently available in the literature. Here we address its well posedness.

Keywords: Initial Data; Cauchy Problem; Traffic Flow; Speed Function; Traffic Flow Model (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_41

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DOI: 10.1007/978-3-642-55711-8_41

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