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math.OC2026
A general framework for nonlocal traffic flow models on networks
Alexander Keimer, Lukas Pflug, Florian Prohaska
We present a general computational framework for macroscopic nonlocal traffic flow models on networks with multiple commodities. The model combines scalar conservation laws on edge…
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…