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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| Інші автори: | |
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| Формат: | Електронний ресурс Частина з книги |
| Мова: | Англійська |
| Опубліковано: |
Logos Verlag Berlin
2020
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| Предмети: | |
| Онлайн доступ: | OAPEN Library: download the publication OAPEN Library: description of the publication |
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| Резюме: | 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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| ISBN: | /doi.org/10.30819/5187 9783832551872 |
| Доступ: | Open Access |