9 citations · 16 across the 8 of their papers we have counts for
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math.AP2024★ 5 cited
A LWR model with constraints at moving interfaces
Abraham Sylla
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 th…
math.AP2024★ 9 cited
Influence of a slow moving vehicle on traffic: Well-posedness and approximation for a mildly non-local model
Abraham Sylla
In this paper, we propose a macroscopic model that describes the influence of a slow moving large vehicle on road traffic. The model consists of a scalar conservation law with a no…
math.NA2024
Convergence of a Finite Volume Scheme for Compactly Heterogeneous Scalar Conservation Laws
Abraham Sylla
We build a finite volume scheme for the scalar conservation law with bounded initial condition for a wide class of flux function , conv…