TY  - JOUR
PY  - 2015//
TI  - A mixed system modeling two-directional pedestrian flows
JO  - Mathematical biosciences and engineering
A1  - Goatin, Paola
A1  - Mimault, Matthias
SP  - 375
EP  - 392
VL  - 12
IS  - 2
N2  - 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>
LA  - en
SN  - 1547-1063
UR  - http://dx.doi.org/
ID  - ref1
ER  -