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Propagation of polarization sets for systems of generalized transverse type and for systems of MHD type

dc.contributor.advisorWitt, Ingo Prof. Dr.
dc.contributor.authorDarwich, Rayhana
dc.date.accessioned2023-06-16T14:25:32Z
dc.date.available2023-06-23T00:50:11Z
dc.date.issued2023-06-16
dc.identifier.urihttp://resolver.sub.uni-goettingen.de/purl?ediss-11858/14719
dc.identifier.urihttp://dx.doi.org/10.53846/goediss-9929
dc.format.extentXXX Seitende
dc.language.isoengde
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subject.ddc510de
dc.titlePropagation of polarization sets for systems of generalized transverse type and for systems of MHD typede
dc.typedoctoralThesisde
dc.contributor.refereeBahns, Dorothea Prof. Dr.
dc.date.examination2023-05-02de
dc.description.abstractengPolarization sets were introduced by Dencker (1982) as a refinement of wavefront sets to the vector-valued case. He also clarified the propagation of polarization sets when the characteristic variety of the pseudodifferential system under study consists of two hypersurfaces intersecting tangentially (1992), or transversally (1995). In this thesis, we consider the case of more than two intersecting characteristic hypersurfaces that are interesting transversally (and we give a note on the tangential case). Mainly, we consider two types of systems which we name "systems of generalized transverse type" and "systems of MHD type", and we show that we can get a result for the propagation of polarization set similar to Dencker's result for systems of transverse type. Furthermore, we give an application to the MHD equations.de
dc.contributor.coRefereeJaeh, Christian Dr.
dc.subject.engPolarization setsde
dc.subject.engwavefront setsde
dc.subject.engsystems of transverse typede
dc.subject.engsystems of uniaxial typede
dc.subject.engsystems of generalized transverse typede
dc.subject.engsystems of MHD typede
dc.subject.engmagnetohydrodynamicsde
dc.subject.engideal MHD equationsde
dc.subject.engpseudodifferential operatorsde
dc.subject.engsystems of real principal typede
dc.subject.engpropagation of polarization setsde
dc.subject.engmicrolocal analysisde
dc.identifier.urnurn:nbn:de:gbv:7-ediss-14719-4
dc.affiliation.instituteFakultät für Mathematik und Informatikde
dc.subject.gokfullMathematics (PPN61756535X)de
dc.description.embargoed2023-06-23de
dc.identifier.ppn1850492190
dc.notes.confirmationsentConfirmation sent 2023-06-19T08:45:01de


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