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Preprint 2016-013

Existence of solutions to a boundary value problem for a phase transition traffic Model

Francesca Marcellini

Abstract: We consider the initial boundary value problem for the phase transition traffic model introduced in [9], which is a macroscopic model based on a 2×2 system of conservation laws. We prove existence of solutions by means of the wave-front tracking technique, provided the initial data and the boundary conditions have finite total variation.

Reference
[9] R. M. Colombo, F. Marcellini, and M. Rascle. A 2-phase traffic model based on a speed bound. SIAM J. Appl. Math., 70(7):2652–2666, 2010 [MR2678055].
Paper:
Available as PDF (411 Kbytes).
Author(s):
Francesca Marcellini
Submitted by:
; 2016-11-28.
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Last modified: 2016-11-29 11:11 UTC