We propose a mathematical framework to the study of scalar conservation laws with moving interfaces. This framework is developed on a LWR model with constraint on the flux along these moving interfaces. Existence is proved by means of a finite volume scheme. The originality lies in the local modification of the mesh and in the treatment of the crossing points of the trajectories.
Keywords: Hyperbolic scalar conservation laws, moving interfaces, flux constraints, finite volume scheme
@article{M2AN_2022__56_3_1081_0,
author = {Sylla, Abraham},
title = {A {LWR} model with constraints at moving interfaces},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {1081--1114},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {3},
doi = {10.1051/m2an/2022030},
mrnumber = {4420891},
zbl = {1492.35164},
language = {en},
url = {https://www.numdam.org/articles/10.1051/m2an/2022030/}
}
TY - JOUR AU - Sylla, Abraham TI - A LWR model with constraints at moving interfaces JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2022 SP - 1081 EP - 1114 VL - 56 IS - 3 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/m2an/2022030/ DO - 10.1051/m2an/2022030 LA - en ID - M2AN_2022__56_3_1081_0 ER -
%0 Journal Article %A Sylla, Abraham %T A LWR model with constraints at moving interfaces %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2022 %P 1081-1114 %V 56 %N 3 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/m2an/2022030/ %R 10.1051/m2an/2022030 %G en %F M2AN_2022__56_3_1081_0
Sylla, Abraham. A LWR model with constraints at moving interfaces. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 56 (2022) no. 3, pp. 1081-1114. doi: 10.1051/m2an/2022030
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