Magnetic reconnection in magnetohydrodynamics

Pedro Caro; Gennaro Ciampa; Renato Lucà

doi:10.4171/rmi/1512

JournalsrmiVol. 41, No. 2pp. 461–508

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

Download PDF

This article is published open access under our Subscribe to Open model.

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. 41 (2025), no. 2, pp. 461–508

DOI 10.4171/RMI/1512