A LWR model with constraints at moving interfaces

Abraham Sylla (1)

1 IDP - Institut Denis Poisson

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.

Domaines: Equations aux dérivées partielles [math.AP]

Abraham Sylla. A LWR model with constraints at moving interfaces. 2021. ⟨hal-03229291v1⟩