Magnetic Reconnection in Magnetohydrodynamics
Analysis of PDEs
2025-03-27 v2 Mathematical Physics
math.MP
Plasma Physics
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
@article{arxiv.2209.09600,
title = {Magnetic Reconnection in Magnetohydrodynamics},
author = {Pedro Caro and Gennaro Ciampa and Renato Lucà},
journal= {arXiv preprint arXiv:2209.09600},
year = {2025}
}