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Magnetic reconnection in magnetohydrodynamics

  • Pedro Caro

    Basque Center for Applied Mathematics (BCAM), Bilbao, Spain; Ikerbasque, Basque Foundation for Science, Bilbao, Spain

  • Gennaro Ciampa

    Università degli Studi dell’Aquila, L’Aquila, Italy

  • Renato Lucà

    Institut Denis Poisson CNRS UMR 7013, Orléans, France; Université d’Orléans, Orléans, France
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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.

Cite this article

Pedro Caro, Gennaro Ciampa, Renato Lucà, Magnetic reconnection in magnetohydrodynamics. Rev. Mat. Iberoam. (2024), published online first

DOI 10.4171/RMI/1512