English

New tests for a singularity of ideal MHD

Plasma Physics 2007-05-23 v1

Abstract

Analysis using new calculations with 3 times the resolution of the earlier linked magnetic flux tubes confirms the transition from singular to saturated growth rate reported by Grauer and Marliani \cite{GrauerMar99} for the incompressible cases is confirmed. However, all of the secondary tests point to a transition back to stronger growth rate at a different location at late times. Similar problems in ideal hydrodynamics are discussed, pointing out that initial negative results eventually led to better initial conditions that did show evidence for a singularity of Euler. Whether singular or near-singular growth in ideal MHD is eventually shown, this study could have bearing on fast magnetic reconnection, high energy particle production and coronal heating.

Cite

@article{arxiv.physics/0001016,
  title  = {New tests for a singularity of ideal MHD},
  author = {Robert M. Kerr and Axel Brandenburg},
  journal= {arXiv preprint arXiv:physics/0001016},
  year   = {2007}
}

Comments

5 pages, 5 figures

R2 v1 2026-07-22T18:48:07.345Z