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arXiv · 2405.02526

A LWR model with constraints at moving interfaces

Abraham Sylla
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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.

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Abraham Sylla. 2024-05-04. A LWR model with constraints at moving interfaces. https://doi.org/10.1051/m2an/2022030

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