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 X 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.
Marcellini, F. (2017). Existence of solutions to a boundary value problem for a phase transition traffic model. NETWORKS AND HETEROGENEOUS MEDIA, 12(2), 259-275 [10.3934/nhm.2017011].
Existence of solutions to a boundary value problem for a phase transition traffic model
Marcellini, F
2017
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 X 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.
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