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Physics > Plasma Physics

arXiv:1409.8189 (physics)
[Submitted on 29 Sep 2014 (v1), last revised 16 May 2015 (this version, v2)]

Title:On heteroclinic separators of magnetic fields in electrically conducting fluids

Authors:V. Grines, T. Medvedev, O. Pochinka, E. Zhuzhoma
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Abstract:In this paper we partly solve the problem of existence of separators of a magnetic field in plasma. We single out in plasma a 3-body with a boundary in which the movement of plasma is of special kind which we call an (a-d)-motion. We prove that if the body is the 3-annulus or the "fat" orientable surface with two holes the magnetic field necessarily have a heteroclinic separator. The statement of the problem and the suggested method for its solution lead to some theoretical problems from Dynamical Systems Theory which are of interest of their own.
Subjects: Plasma Physics (physics.plasm-ph); Dynamical Systems (math.DS)
Cite as: arXiv:1409.8189 [physics.plasm-ph]
  (or arXiv:1409.8189v2 [physics.plasm-ph] for this version)
  https://doi.org/10.48550/arXiv.1409.8189
Journal reference: Physica D 294 (2015)
Related DOI: https://doi.org/10.1016/j.physd.2014.11.004

Submission history

From: Timur Medvedev [view email]
[v1] Mon, 29 Sep 2014 17:03:29 UTC (117 KB)
[v2] Sat, 16 May 2015 18:01:41 UTC (118 KB)
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