Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.12386/31395
Title: | The poor man’s magnetohydrodynamic (PMMHD) equations | Authors: | ALBERTI, TOMMASO CONSOLINI, Giuseppe Carbone, V |
Issue Date: | 2020 | Journal: | JOURNAL OF PHYSICS. CONFERENCE SERIES | Volume: | 10th Young Researcher Meeting 18-21 June 2019, Rome, Italy | Number: | 1548 | First Page: | 012037 | 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. | Conference Name: | 10th Young Researcher Meeting 18-21 June 2019, Rome, Italy | Conference Place: | Roma | Conference Date: | 18-21 giugno, 2019 | URI: | http://hdl.handle.net/20.500.12386/31395 | URL: | https://iopscience.iop.org/article/10.1088/1742-6596/1548/1/012037 | ISSN: | 1742-6588 | DOI: | 10.1088/1742-6596/1548/1/012037 | Bibcode ADS: | 2020JPhCS1548a2037A | Fulltext: | open |
Appears in Collections: | 3.01 Contributi in Atti di convegno |
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File | Description | Size | Format | |
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Alberti - JPhysConfSer (2020).pdf | Pdf editoriale | 702.05 kB | Adobe PDF | View/Open |
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