| Issue |
ESAIM: M2AN
Volume 56, Number 3, May-June 2022
|
|
|---|---|---|
| Page(s) | 1081 - 1114 | |
| DOI | https://doi.org/10.1051/m2an/2022030 | |
| Published online | 13 May 2022 | |
A LWR model with constraints at moving interfaces
Institut Denis Poisson, CNRS UMR 7013, Université de Tours, Université d’Orléans Parc de Grandmont, 37200 Tours cedex, France
* Corresponding author: Abraham.Sylla@lmpt.univ-tours.fr
Received:
22
June
2021
Accepted:
18
March
2022
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.
Mathematics Subject Classification: 35L65 / 76A30 / 65M08
Key words: Hyperbolic scalar conservation laws / moving interfaces / flux constraints / finite volume scheme
© The authors. Published by EDP Sciences, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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