9 citations · 16 across the 8 of their papers we have counts for
6 papers · 1 filter
Failure of uniqueness for scalar conservation laws
Shyam Sundar Ghoshal, Abraham Sylla, Parasuram Venkatesh
In this article, we develop the first negative results for scalar conservation laws with finite speed of propagation. While the work of Gargyants, Goritsky, and Panov establishes n…
Scalar Approach to ARZ-Type Systems of Conservation Laws
Abraham Sylla
We are interested in 2x2 systems of conservation laws of special structure, including generalized Aw-Rascle and Zhang (GARZ) models for road traffic. The simplest representative is…
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…
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…
Peculiarities of Space Dependent Conservation Laws: Inverse Design and Asymptotics
Rinaldo M. Colombo, Vincent Perrollaz, Abraham Sylla
Recently, results regarding the Inverse Design problem for Conservation Laws and Hamilton-Jacobi equations with space-dependent convex fluxes were obtaine. More precisely, characte…
Initial Data Identication in Space Dependent Conservation Laws and Hamilton-Jacobi Equations
Rinaldo M. Colombo, Vincent Perrollaz, Abraham Sylla
Consider a Conservation Law and a Hamilton-Jacobi equation with a ux/Hamiltonian depending also on the space variable. We characterize rst the attainable set of the two equations a…