Möller, Jens-Henning (2021)
Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field.
doi: 10.26083/tuprints-00014088
Buch, Zweitveröffentlichung, Verlagsversion
Kurzbeschreibung (Abstract)
In the first part of this thesis we extend the theory of anisotropic Triebel-Lizorkin spaces to time-periodic functions. In particular, the spatial trace space is determined together with the existence of extension operators. Additionally, some results regarding pointwise multiplication are provided. As a preparation for this theory we prove a transference principle for multipliers with values in the spaces of summable sequences.
Secondly, we consider the equations of magnetohydrodynamics with a background magnetic field and time-periodic forcing. Maximal regularity of the time-periodic linear problem is established by applying the results of the first part. The existence of a solution to the non-linear problem is shown for a large class of background magnetic fields via a fixed-point argument.
| Typ des Eintrags: | Buch | ||||
|---|---|---|---|---|---|
| Erschienen: | 2021 | ||||
| Autor(en): | Möller, Jens-Henning | ||||
| Art des Eintrags: | Zweitveröffentlichung | ||||
| Titel: | Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field | ||||
| Sprache: | Englisch | ||||
| Referenten: | Farwig, Prof. Dr. Reinhard ; Kyed, Prof. Dr. Mads | ||||
| Publikationsjahr: | 2021 | ||||
| Ort: | Darmstadt | ||||
| Publikationsdatum der Erstveröffentlichung: | 2020 | ||||
| Verlag: | Logos Verlag Berlin | ||||
| Kollation: | x, 131 Seiten | ||||
| Datum der mündlichen Prüfung: | 14 August 2020 | ||||
| DOI: | 10.26083/tuprints-00014088 | ||||
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/14088 | ||||
| Herkunft: | Zweitveröffentlichung | ||||
| Kurzbeschreibung (Abstract): | In the first part of this thesis we extend the theory of anisotropic Triebel-Lizorkin spaces to time-periodic functions. In particular, the spatial trace space is determined together with the existence of extension operators. Additionally, some results regarding pointwise multiplication are provided. As a preparation for this theory we prove a transference principle for multipliers with values in the spaces of summable sequences. Secondly, we consider the equations of magnetohydrodynamics with a background magnetic field and time-periodic forcing. Maximal regularity of the time-periodic linear problem is established by applying the results of the first part. The existence of a solution to the non-linear problem is shown for a large class of background magnetic fields via a fixed-point argument. |
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| Alternatives oder übersetztes Abstract: |
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| Status: | Verlagsversion | ||||
| URN: | urn:nbn:de:tuda-tuprints-140886 | ||||
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 510 Mathematik | ||||
| Fachbereich(e)/-gebiet(e): | 04 Fachbereich Mathematik 04 Fachbereich Mathematik > Analysis 04 Fachbereich Mathematik > Analysis > Partielle Differentialgleichungen und Anwendungen |
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| Hinterlegungsdatum: | 08 Feb 2021 10:17 | ||||
| Letzte Änderung: | 17 Feb 2021 08:59 | ||||
| PPN: | |||||
| Referenten: | Farwig, Prof. Dr. Reinhard ; Kyed, Prof. Dr. Mads | ||||
| Datum der mündlichen Prüfung / Verteidigung / mdl. Prüfung: | 14 August 2020 | ||||
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| Suche nach Titel in: | TUfind oder in Google | ||||
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