Emergence of unstable modes for classical shock waves in isothermal ideal MHD

Lade...
Vorschaubild
Dateien
Freistuehler_2-17492k131yo9e8.pdf
Freistuehler_2-17492k131yo9e8.pdfGröße: 1.68 MBDownloads: 105
Datum
2017
Herausgeber:innen
Kontakt
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
ArXiv-ID
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Open Access Green
Core Facility der Universität Konstanz
Gesperrt bis
Titel in einer weiteren Sprache
Forschungsvorhaben
Organisationseinheiten
Zeitschriftenheft
Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published
Erschienen in
Physica D : Nonlinear Phenomena. 2017, 358, pp. 25-32. ISSN 0167-2789. eISSN 1872-8022. Available under: doi: 10.1016/j.physd.2017.07.005
Zusammenfassung

This note studies classical magnetohydrodynamic shock waves in an inviscid fluidic plasma that is assumed to be a perfect conductor of heat as well as of electricity. For this mathematically prototypical material, it identifies, mainly numerically, two critical manifolds in parameter space, across which slow resp. fast MHD shock waves undergo emergence of a complex conjugate pair of unstable transverse modes. For slow shocks, this emergence occurs in a particularly interesting way already in the parallel case, in which it happens at the spectral value ˆλ ≡ λ/|ω| = 0 and the critical manifold possesses a simple explicit algebraic representation. Results of refined numerical treatment show that within the set of non-parallel slow shocks the unstable mode pair emerges from two generically different spectral values ˆλ = ±iγ . For fast shocks, the critical manifold does not intersect the parallel regime and the emergence within the set of non-parallel fast shocks again starts from two generically different spectral values.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Magnetohydrodynamics, Shock waves, Stability, Continuation of invariant subspaces, Lopatinski condition
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690FREISTÜHLER, Heinrich, Felix KLEBER, Johannes SCHROPP, 2017. Emergence of unstable modes for classical shock waves in isothermal ideal MHD. In: Physica D : Nonlinear Phenomena. 2017, 358, pp. 25-32. ISSN 0167-2789. eISSN 1872-8022. Available under: doi: 10.1016/j.physd.2017.07.005
BibTex
@article{Freistuhler2017-11Emerg-40775,
  year={2017},
  doi={10.1016/j.physd.2017.07.005},
  title={Emergence of unstable modes for classical shock waves in isothermal ideal MHD},
  volume={358},
  issn={0167-2789},
  journal={Physica D : Nonlinear Phenomena},
  pages={25--32},
  author={Freistühler, Heinrich and Kleber, Felix and Schropp, Johannes}
}
RDF
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/40775">
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-11-29T14:50:18Z</dc:date>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dcterms:title>Emergence of unstable modes for classical shock waves in isothermal ideal MHD</dcterms:title>
    <dc:creator>Schropp, Johannes</dc:creator>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/40775/1/Freistuehler_2-17492k131yo9e8.pdf"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:language>eng</dc:language>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/40775/1/Freistuehler_2-17492k131yo9e8.pdf"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:rights>terms-of-use</dc:rights>
    <dc:creator>Kleber, Felix</dc:creator>
    <dc:contributor>Schropp, Johannes</dc:contributor>
    <dcterms:issued>2017-11</dcterms:issued>
    <dcterms:abstract xml:lang="eng">This note studies classical magnetohydrodynamic shock waves in an inviscid fluidic plasma that is assumed to be a perfect conductor of heat as well as of electricity. For this mathematically prototypical material, it identifies, mainly numerically, two critical manifolds in parameter space, across which slow resp. fast MHD shock waves undergo emergence of a complex conjugate pair of unstable transverse modes. For slow shocks, this emergence occurs in a particularly interesting way already in the parallel case, in which it happens at the spectral value ˆλ ≡ λ/|ω| = 0 and the critical manifold possesses a simple explicit algebraic representation. Results of refined numerical treatment show that within the set of non-parallel slow shocks the unstable mode pair emerges from two generically different spectral values ˆλ = ±iγ . For fast shocks, the critical manifold does not intersect the parallel regime and the emergence within the set of non-parallel fast shocks again starts from two generically different spectral values.</dcterms:abstract>
    <dc:contributor>Kleber, Felix</dc:contributor>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/40775"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-11-29T14:50:18Z</dcterms:available>
    <dc:contributor>Freistühler, Heinrich</dc:contributor>
    <dc:creator>Freistühler, Heinrich</dc:creator>
  </rdf:Description>
</rdf:RDF>
Interner Vermerk
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Kontakt
URL der Originalveröffentl.
Prüfdatum der URL
Prüfungsdatum der Dissertation
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Diese Publikation teilen