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 x2 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 nite total variation

Marcellini, F. (2016). Existence of Solutions to a Boundary Value Problem for a Phase Transition Traffic Model [Working paper].

Existence of Solutions to a Boundary Value Problem for a Phase Transition Traffic Model

MARCELLINI, FRANCESCA
Primo
2016

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 x2 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 nite total variation
Working paper
Scientifica
Hyperbolic Systems of Conservation Laws, Continuum TracModels,Wave-Front Tracking, Boundary Value Problem
English
Marcellini, F. (2016). Existence of Solutions to a Boundary Value Problem for a Phase Transition Traffic Model [Working paper].
Marcellini, F
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/140660
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