Control strategies for magnetized plasma: a polar coordinates framework
Abstract
In this work, we provide an overview of various control strategies aimed at steering plasma toward desired configurations using an external magnetic field. From a modeling perspective, we focus on the Vlasov equation in a two-dimensional bounded domain, accounting for both a self-induced electric field and a strong external magnetic field. The results are presented in a polar coordinate framework, which is particularly well-suited for simulating toroidal devices such as Tokamaks and Stellarators. A key feature of the proposed control strategies is their feedback mechanism, which is based on an instantaneous prediction of the discretized system. Finally, different numerical experiments in the two-dimensional polar coordinate setting demonstrate the effectiveness of the approaches.
Cite
@article{arxiv.2511.10214,
title = {Control strategies for magnetized plasma: a polar coordinates framework},
author = {Federica Ferrarese},
journal= {arXiv preprint arXiv:2511.10214},
year = {2026}
}