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, FRANCESCAPrimo
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
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