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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…
math.OC2025
Optimal Control Problems with Nonlocal Conservation Laws: Existence of Optimizers and Singular Limits in Approximations of Local Conservation Laws
Alexander Keimer, Lukas Pflug, Jakob Rodestock
This contribution considers optimal control problems subject to nonlocal conservation laws -- those in which the velocity depends nonlocally (i.e., via a convolution) on the soluti…