706	RWTH Publication No: 1021432        2025
TITLE	Control of Conservation Laws in the Nonlocal-to-Local Limit
AUTHORS	Jan Friedrich, Michael Herty, Claudia Nocita
ABSTRACT	We analyze a class of control problems where the initial datum acts as a control and the state is given by the entropy solution of (local) conservation laws by a nonlocal-to-local limiting strategy. In particular we characterize the limit up to subsequence of minimizers to nonlocal control problems as minimizer of the corresponding local ones. Moreover, we also prove an analogous result at a discrete level by means of a Eulerian-Lagrangian scheme.
KEYWORDS	Nonlocal Conservation Laws; Nonlocal-to-local Limit; Traffic Models; Optimal Control of Conservation Laws; Eulerian-Lagrangian scheme