5 citations · 15 across the 17 of their papers we have counts for
5 papers · 1 filter
A note on nonlocal approximations of sign-unrestricted solutions of conservation laws
Alexander Keimer, Lukas Pflug
We study the singular limit problem for nonlocal conservation laws in which the sign of the initial datum is unrestricted and the velocity of the conservation law depends on a nonl…
On the singular limit problem for nonlocal conservation laws: A general approximation result for kernels with fixed support
Alexander Keimer, Lukas Pflug
We prove the convergence of solutions of nonlocal conservation laws to their local entropic counterpart for a fundamentally extended class of nonlocal kernels when these kernels ap…
On the singular limit problem in nonlocal balance laws: Applications to nonlocal lane-changing traffic flow models
Felisia Angela Chiarello, Alexander Keimer
We present a convergence result from nonlocal to local behavior for a system of nonlocal balance laws. The velocity field of the underlying conservation laws is diagonal. In contra…
Ole\uınik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit
Giuseppe Maria Coclite, Maria Colombo, Gianluca Crippa +5
We consider a class of nonlocal conservation laws with exponential kernel and prove that quantities involving the nonlocal term $W:=\mathbb{1}_{(-\infty,0]}(\cdot)\exp(\cdot) \ast…
Conservation laws with nonlocality in density and velocity and their applicability in traffic flow modelling
Jan Friedrich, Simone Göttlich, Alexander Keimer +1
In this work we present a nonlocal conservation law with a velocity depending on an integral term over a part of the space. The model class covers already existing models in litera…