Geodesic
Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 52 (2018) no. 1, pp. 163-180

Voir la notice de l'article provenant de la source Numdam

We prove the well-posedness of entropy weak solutions for a class of scalar conservation laws with non-local flux arising in traffic modeling. We approximate the problem by a Lax-Friedrichs scheme and we provide L ∞ and BV estimates for the sequence of approximate solutions. Stability with respect to the initial data is obtained from the entropy condition through the doubling of variable technique. The limit model as the kernel support tends to infinity is also studied.

DOI : 10.1051/m2an/2017066
Classification : 35L65, 65M12
Keywords: Non-local conservation laws, Lax-Friedrichs scheme

Chiarello, Felisia Angela 1 ; Goatin, Paola 1

1 
@article{M2AN_2018__52_1_163_0,
     author = {Chiarello, Felisia Angela and Goatin, Paola},
     title = {Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {163--180},
     publisher = {EDP-Sciences},
     volume = {52},
     number = {1},
     year = {2018},
     doi = {10.1051/m2an/2017066},
     zbl = {1395.35142},
     mrnumber = {3808157},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2017066/}
}
TY  - JOUR
AU  - Chiarello, Felisia Angela
AU  - Goatin, Paola
TI  - Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2018
SP  - 163
EP  - 180
VL  - 52
IS  - 1
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2017066/
DO  - 10.1051/m2an/2017066
LA  - en
ID  - M2AN_2018__52_1_163_0
ER  - 
%0 Journal Article
%A Chiarello, Felisia Angela
%A Goatin, Paola
%T Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2018
%P 163-180
%V 52
%N 1
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2017066/
%R 10.1051/m2an/2017066
%G en
%F M2AN_2018__52_1_163_0
Chiarello, Felisia Angela; Goatin, Paola. Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 52 (2018) no. 1, pp. 163-180. doi: 10.1051/m2an/2017066

Cité par Sources :