Magnetic reconnection in magnetohydrodynamics

Pedro Caro ^[3] ; Gennaro Ciampa ^[1] ; Renato Lucà ^[2]
1. [1] University of L'Aquila
  
  University of L'Aquila
  
  L'Aquila, Italia
2. [2] University of Orléans
  
  University of Orléans
  
  Arrondissement d’Orléans, Francia
3. [3] Basque Center for Applied Mathematics (BCAM), Bilbao, Spain; Ikerbasque, Basque Foundation for Science, Bilbao, Spain
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Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 41, Nº 2, 2025, págs. 461-508
Idioma: inglés
DOI: 10.4171/RMI/1512
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Resumen
- 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.