Magnetic reconnection in magnetohydrodynamics

We provide examples of periodic solutions (in both 2 and 3 dimension) of the magnetohydrodynamics equations such that the topology of the magnetic lines changes during the evolution. This phenomenon, known as magnetic reconnection, is relevant for physicists, in particular in the study of highly conducting plasmas. Although numerical and experimental evidences exist, analytical examples of magnetic reconnection were not known.

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Publication Details

Journal
Revista Matemática Iberoamericana
Published
2024-11-15
DOI
https://doi.org/10.4171/rmi/1512
Citations
5
Primary Topic
Solar and Space Plasma Dynamics
Type
article
Field-Weighted Citation Impact
1.33
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article

Magnetic reconnection in magnetohydrodynamics

Renato Lucà, Gennaro Ciampa, Pedro Caro
5 citations
Revista Matemática Iberoamericana
Solar and Space Plasma Dynamics
1.33
article

Magnetic reconnection in magnetohydrodynamics

Renato Lucà, Gennaro Ciampa, Pedro Caro
article en
5 citations

Abstract

We provide examples of periodic solutions (in both 2 and 3 dimension) of the magnetohydrodynamics equations such that the topology of the magnetic lines changes during the evolution. This phenomenon, known as magnetic reconnection, is relevant for physicists, in particular in the study of highly conducting plasmas. Although numerical and experimental evidences exist, analytical examples of magnetic reconnection were not known.

Revista Matemática IberoamericanaVol. 41(2)
Ikerbasque (ES), Université d'Orléans (FR), Centre National de la Recherche Scientifique (FR), University of L'Aquila (IT), Basque Center for Applied Mathematics (ES), Institut Denis Poisson (FR)
Openalex Percentile: Top 19%
Solar and Space Plasma Dynamics
1.33
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