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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