Symmetrizations of RMHD equations and stability of relativistic current–vortex sheets

dc.contributor.authorFreistühler, Heinrich
dc.contributor.authorTrakhinin, Yurideu
dc.date.accessioned2014-02-19T14:19:44Zdeu
dc.date.available2014-02-19T14:19:44Zdeu
dc.date.issued2013
dc.description.abstractWe consider the equations of relativistic magnetohydrodynamics (RMHD) in the case of special relativity. Starting by computations in the fluid's rest frame and then applying Lorentz transformations, we derive a covariant symmetric formulation of RMHD in terms of the primitive (physical) variables. This symmetric system is important for the study of various initial boundary value problems. We also find a so-called secondary symmetrization whose direct consequence is the extension of the sufficient stability condition obtained earlier for non-relativistic planar current–vortex sheets to the relativistic case. As in non-relativistic settings, this implies the local-in-time existence of corresponding smooth nonplanar current–vortex sheets.eng
dc.description.versionpublished
dc.identifier.citationClassical and Quantum Gravity ; 30 (2013), 8. - 085012deu
dc.identifier.doi10.1088/0264-9381/30/8/085012deu
dc.identifier.urihttp://kops.uni-konstanz.de/handle/123456789/26466
dc.language.isoengdeu
dc.legacy.dateIssued2014-02-19deu
dc.rightsterms-of-usedeu
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/deu
dc.subject.ddc510deu
dc.titleSymmetrizations of RMHD equations and stability of relativistic current–vortex sheetseng
dc.typeJOURNAL_ARTICLEdeu
dspace.entity.typePublication
kops.citation.bibtex
@article{Freistuhler2013Symme-26466,
  year={2013},
  doi={10.1088/0264-9381/30/8/085012},
  title={Symmetrizations of RMHD equations and stability of relativistic current–vortex sheets},
  number={8},
  volume={30},
  issn={0264-9381},
  journal={Classical and Quantum Gravity},
  author={Freistühler, Heinrich and Trakhinin, Yuri},
  note={Article Number: 085012}
}
kops.citation.iso690FREISTÜHLER, Heinrich, Yuri TRAKHININ, 2013. Symmetrizations of RMHD equations and stability of relativistic current–vortex sheets. In: Classical and Quantum Gravity. 2013, 30(8), 085012. ISSN 0264-9381. eISSN 1361-6382. Available under: doi: 10.1088/0264-9381/30/8/085012deu
kops.citation.iso690FREISTÜHLER, Heinrich, Yuri TRAKHININ, 2013. Symmetrizations of RMHD equations and stability of relativistic current–vortex sheets. In: Classical and Quantum Gravity. 2013, 30(8), 085012. ISSN 0264-9381. eISSN 1361-6382. Available under: doi: 10.1088/0264-9381/30/8/085012eng
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kops.sourcefieldClassical and Quantum Gravity. 2013, <b>30</b>(8), 085012. ISSN 0264-9381. eISSN 1361-6382. Available under: doi: 10.1088/0264-9381/30/8/085012deu
kops.sourcefield.plainClassical and Quantum Gravity. 2013, 30(8), 085012. ISSN 0264-9381. eISSN 1361-6382. Available under: doi: 10.1088/0264-9381/30/8/085012deu
kops.sourcefield.plainClassical and Quantum Gravity. 2013, 30(8), 085012. ISSN 0264-9381. eISSN 1361-6382. Available under: doi: 10.1088/0264-9381/30/8/085012eng
kops.submitter.emailchristoph.petzmann@uni-konstanz.dedeu
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source.periodicalTitleClassical and Quantum Gravity

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