A LWR model with constraints at moving interfaces

Abraham Sylla (1)

1 CEDIN - Centre de droit international de Nanterre

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.

Mots clés: Hyperbolic scalar conservation laws; moving interfaces; flux constraints; finite volume scheme

Domaines: Mathématiques [math]

Abraham Sylla. A LWR model with constraints at moving interfaces. ESAIM: Mathematical Modelling and Numerical Analysis, 2022, 56 (3), pp.1081-1114. ⟨10.1051/m2an/2022030⟩. ⟨hal-03668001⟩