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The poor man’s magnetohydrodynamic (PMMHD) equations

Journal
Date Issued
2020
Author(s)
•
•
Carbone, V
DOI
Abstract
We present a mathematical derivation of a discrete dynamical system by following a Fourier-Galerkin approximation of the 3-D incompressible magnetohydrodynamic (MHD) equations. In this way, a 6-D map, depending on 12 bifurcation parameters, is derived as a truncated set of nonlinear ordinary differential equations (ODEs) to characterize incompressible plasma dynamical behaviors, also conserving total energy and cross-helicity in the ideal MHD approximation. Moreover, three different subspaces, associated with long-living non-trivial solutions (e.g., fixed point solutions), have been found like the fluid, magnetic, and the Alfvenic fixed points. Our set can be seen as a Lorenz-like model to investigate MHD phenomena.
Coverage
10th Young Researcher Meeting 18-21 June 2019, Rome, Italy
Volume
1548
Start page
012037
Conferenece
10th Young Researcher Meeting 18-21 June 2019, Rome, Italy
Conferenece place
Roma
Conferenece date
18-21 giugno, 2019
Uri
Url
Issn Identifier
1742-6588
Ads BibCode
2020JPhCS1548a2037A
Rights
open.access
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