Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field
Logos Verlag Berlin; Logos Verlag Berlin, 2020
Online
E-Book
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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Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field
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Autor/in / Beteiligte Person: | Möller, Jens-Henning |
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Veröffentlichung: | Logos Verlag Berlin; Logos Verlag Berlin, 2020 |
Medientyp: | E-Book |
ISBN: | 978-3-8325-5187-2 (print) |
DOI: | 10.30819/5187 |
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