Work

Accelerated and fast magnetic reconnection through enhanced resistive dissipation for MHD equations

Year: 2025

Type: preprint

Abstract: We consider the phenomenon of magnetic reconnection, namely a change in the topology of magnetic lines, for sufficiently regular solutions of the three-dimensional periodic magnetohydrodynamic (MHD) equations. We provide examples where magnetic reconnection occurs on time scales shorter than the resistive one, due to enhanced dissipation emerging from advective effects. This is the first analytical result where the advection term plays an active role in the reconnection process. A key aspect of our approach is a new estimate for enhanced diffusion of high Sobolev norms, which is of independent interest beyond its application to the MHD equations.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2510.06801

Authors: Ciampa, Gennaro, Lucà, Renato

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Eusko Jaurlaritza, Basque Center for Applied Mathematics, Agencia Estatal de Investigación

Awards: G1175115578, G1338257350, G1633674249, G2262748287, G300979063, G34346518, G3480869486, G425668148, G4509494158, G5080475149, G542055026, G6294024929, G7084143925, G7436716198, G8939903727

OpenAlex ID: W4415317268

Cites: 3

Cited by: 1

Related to: 10