English

A LWR model with constraints at moving interfaces

Analysis of PDEs 2024-05-07 v1

Abstract

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

Cite

@article{arxiv.2405.02526,
  title  = {A LWR model with constraints at moving interfaces},
  author = {Abraham Sylla},
  journal= {arXiv preprint arXiv:2405.02526},
  year   = {2024}
}
R2 v1 2026-06-28T16:16:20.991Z