Control of Conservation Laws in the Nonlocal-to-Local Limit
Optimization and Control
2025-10-02 v1 Analysis of PDEs
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
Cite
@article{arxiv.2510.00677,
title = {Control of Conservation Laws in the Nonlocal-to-Local Limit},
author = {Jan Friedrich and Michael Herty and Claudia Nocita},
journal= {arXiv preprint arXiv:2510.00677},
year = {2025}
}