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dc.contributor.author
Rubio, Marcelo Enrique
dc.contributor.author
Stasyszyn, Federico Andres
dc.date.available
2023-07-10T13:14:15Z
dc.date.issued
2022-02
dc.identifier.citation
Rubio, Marcelo Enrique; Stasyszyn, Federico Andres; Ill-posedness of the mean-field dynamo equations with a linear electromotive force; Elsevier Science; Physica D - Nonlinear Phenomena; 430; 133097; 2-2022; 1-9
dc.identifier.issn
0167-2789
dc.identifier.uri
http://hdl.handle.net/11336/202880
dc.description.abstract
We show that the initial-value problem for the non-relativistic magnetic dynamo equation turns out to be ill-posed in L2 norm when the electromotive force depends linearly on the magnetic field. This result implies that the increasing of magnetic energy does not necessarily come from physical amplification mechanisms, since certain magnetic modes could arbitrarily grow as wave-frequency increases, despite any dynamo process. Thus, up to this order, the theory is not suitable for astrophysical simulations. We then study the case when electromotive forces are linear in magnetic field derivatives, showing that the resulting system has a well-posed problem. Finally, we apply the well-posed theory to the force-free regime, for which we find bounds for the corresponding magnetic energy analyzing the evolution of the magnetic helicity.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
COSMOLOGY
dc.subject
DYNAMO
dc.subject
MAGNETOHYDRODYNAMICS
dc.subject.classification
Astronomía
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Ill-posedness of the mean-field dynamo equations with a linear electromotive force
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-07-06T11:33:49Z
dc.journal.volume
430
dc.journal.number
133097
dc.journal.pagination
1-9
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Rubio, Marcelo Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Astronomía Teórica y Experimental. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba. Instituto de Astronomía Teórica y Experimental; Argentina
dc.description.fil
Fil: Stasyszyn, Federico Andres. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Astronomía Teórica y Experimental. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba. Instituto de Astronomía Teórica y Experimental; Argentina. Universidad Nacional de Córdoba. Observatorio Astronómico de Córdoba; Argentina
dc.journal.title
Physica D - Nonlinear Phenomena
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.physd.2021.133097
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0167278921002517
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