Möller, Jens-Henning (2021):
Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field. (Publisher's Version)
Darmstadt, Logos Verlag Berlin, ISBN 978-3-8325-5187-2,
DOI: 10.26083/tuprints-00014088,
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Item Type: | Book | ||||
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Status: | Publisher's Version | ||||
Title: | Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field | ||||
Language: | English | ||||
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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Place of Publication: | Darmstadt | ||||
Publisher: | Logos Verlag Berlin | ||||
Collation: | x, 131 Seiten | ||||
Classification DDC: | 500 Naturwissenschaften und Mathematik > 510 Mathematik | ||||
Divisions: | 04 Department of Mathematics > Analysis > Partial Differential Equations and Applications | ||||
Date Deposited: | 08 Feb 2021 10:17 | ||||
Last Modified: | 08 Feb 2021 10:17 | ||||
DOI: | 10.26083/tuprints-00014088 | ||||
URN: | urn:nbn:de:tuda-tuprints-140886 | ||||
Referees: | Farwig, Prof. Dr. Reinhard and Kyed, Prof. Dr. Mads | ||||
Refereed: | 14 August 2020 | ||||
URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/14088 | ||||
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