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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| Format: | Book Chapter |
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Berlin/Germany
Logos Verlag Berlin
2020
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| Online Access: | Get Fullteks DOAB: description of the publication |
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| LEADER | 02014naaaa2200313uu 4500 | ||
|---|---|---|---|
| 001 | doab_20_500_12854_64447 | ||
| 005 | 20210408 | ||
| 020 | |a 5187 | ||
| 020 | |a 9783832551872 | ||
| 024 | 7 | |a 10.30819/5187 |c doi | |
| 041 | 0 | |a English | |
| 042 | |a dc | ||
| 072 | 7 | |a PBKJ |2 bicssc | |
| 100 | 1 | |a Möller, Jens-Henning |4 auth | |
| 245 | 1 | 0 | |a Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field |
| 260 | |a Berlin/Germany |b Logos Verlag Berlin |c 2020 | ||
| 300 | |a 1 electronic resource (145 p.) | ||
| 506 | 0 | |a Open Access |2 star |f Unrestricted online access | |
| 520 | |a 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. | ||
| 540 | |a Creative Commons |f https://creativecommons.org/licenses/by-nc-nd/4.0/ |2 cc |4 https://creativecommons.org/licenses/by-nc-nd/4.0/ | ||
| 546 | |a English | ||
| 650 | 7 | |a Differential calculus & equations |2 bicssc | |
| 653 | |a Triebel-Lizorkin spaces | ||
| 653 | |a Time-periodic | ||
| 653 | |a MHD equations | ||
| 653 | |a Transference principle | ||
| 653 | |a Trace space | ||
| 856 | 4 | 0 | |a www.oapen.org |u https://www.logos-verlag.de/ebooks/OA/978-3-8325-5187-2.pdf |7 0 |z Get Fullteks |
| 856 | 4 | 0 | |a www.oapen.org |u https://directory.doabooks.org/handle/20.500.12854/64447 |7 0 |z DOAB: description of the publication |