Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field
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...
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| Main Author: | |
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| Format: | Electronic Book Chapter |
| Language: | English |
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Berlin/Germany
Logos Verlag Berlin
2020
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| Online Access: | DOAB: download the publication DOAB: description of the publication |
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| Summary: | 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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| Physical Description: | 1 electronic resource (145 p.) |
| ISBN: | 5187 9783832551872 |
| Access: | Open Access |