5 citations · 15 across the 17 of their papers we have counts for
4 papers · 2 filters
Systems of nonlocal conservation laws: well-posedness and the singular limit for a nonlocal generalized Aw-Rascle-Zhang model
Debora Amadori, Felisia Angela Chiarello, Gianmarco Cipollone +2
In this paper, we study a system of nonlocal conservation laws motivated by traffic flow: a nonlocal version of the generalized Aw-Rascle-Zhang (GARZ) model. The nonlocality arises…
The obstacle problem for scalar conservation laws with nonlocal dynamics
Paulo Amorim, Alexander Keimer, Lukas Pflug +1
In this article, we present a method to find a solution to a one-dimensional nonlocal conservation law that respects a space-dependent mapping, referred to as the obstacle. This is…
Nonlocal Approximation Principle for Entropy Solutions of Scalar Conservation Laws
Alexander Keimer, Lukas Pflug
We establish a general nonlocal approximation principle for the entropy solutions of scalar conservation laws on . More precisely, we show that the entropy solution to…
Existence and uniqueness of nonlocal nonlinear conservation laws via fixed-point methods
Xiaoqian Gong, Alexander Keimer, Lorenzo Liverani +1
We investigate the well-posedness of scalar conservation laws whose flux depends on the solution both pointwise and nonlocally through integral averages. Our analysis is based on a…