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math.AP2026
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…
math.AP2026
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…
math.AP2025
Nonlocal conservation laws with p-norm, the singular limit problem and applications to traffic flow
Felisia Angela Chiarello, Alexander Keimer, Lukas Pflug
In this contribution, we study scalar nonlocal conservation laws with the -norm. Here, 'nonlocal' means that the velocity of the conservation law depends on an integral term in…