Control strategies for magnetized plasma: a polar coordinates framework
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917381446565888 |
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| author | Ferrarese, Federica |
| author_facet | Ferrarese, Federica |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10214 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Control strategies for magnetized plasma: a polar coordinates framework Ferrarese, Federica Numerical Analysis 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. |
| title | Control strategies for magnetized plasma: a polar coordinates framework |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2511.10214 |