Answers are grounded in this paper and cite their sources.
This analysis finds minimizers of nonlocal control problems as local solutions, suggesting important control dynamics in conservation laws.
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.
No takes yet. Share an insight, caveat, or question.
Friedrich et al. (2025) studied this question.
Synapse has enriched 8 closely related papers on similar clinical questions. Consider them for comparative context: