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

In: Hyperbolic Problems: Theory, Numerics, Applications

Author

Listed:
  • Rinaldo M. Colombo

    (Dipartimento di Matematica)

  • Andrea Marson

    (Dipartimento di Matematica Pura e Applicata)

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.

Suggested Citation

  • Rinaldo M. Colombo & Andrea Marson, 2003. "Conservation Laws and O.D.E.s. A Traffic Problem," Springer Books, in: Thomas Y. Hou & Eitan Tadmor (ed.), Hyperbolic Problems: Theory, Numerics, Applications, pages 455-461, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-55711-8_41
    DOI: 10.1007/978-3-642-55711-8_41
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