Special Session 18

Optimal Control, Optimal Transport and Related Fields

Organizers: Michele Palladino (University of L’Aquila, Italy), Maria Soledad Aronna (Foundation Getulio Vargas, Brazil)

MSC codes: 49-XX, 93-XX

Description: Optimal control provides a fundamental framework for decision-making in dynamical systems, while optimal transport offers powerful tools for comparing, interpolating, and evolving probability measures. In recent years, deep connections between these fields have emerged, driven by shared variational principles, PDE formulations, and motivated by various applications. The goal of this session is to highlight emerging challenges at the interface of these constantly evolving fields.