@article{ref1,
title="A mixed system modeling two-directional pedestrian flows",
journal="Mathematical biosciences and engineering",
year="2015",
author="Goatin, Paola and Mimault, Matthias",
volume="12",
number="2",
pages="375-392",
abstract="In this article, we present a simplified model to describe the dynamics of two groups of pedestrians moving in opposite directions in a corridor. The model consists of a 2x2 system of conservation laws of mixed hyperbolic-elliptic type. We study the basic properties of the system to understand why and how bounded oscillations in numerical simulations arise. We show that Lax-Friedrichs scheme ensures the invariance of the domain and we investigate the existence of measure-valued solutions as limit of a subsequence of approximate solutions.<p /> <p>Language: en</p>",
language="en",
issn="1547-1063",
doi="",
url="http://dx.doi.org/"
}