Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field
Seiten
2020
Logos Berlin (Verlag)
978-3-8325-5187-2 (ISBN)
Logos Berlin (Verlag)
978-3-8325-5187-2 (ISBN)
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.
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.
| Erscheinungsdatum | 29.10.2020 |
|---|---|
| Sprache | englisch |
| Maße | 170 x 240 mm |
| Einbandart | Paperback |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | MHD equations • Time-periodic • Trace space • Transference principle • Triebel-Lizorkin spaces |
| ISBN-10 | 3-8325-5187-5 / 3832551875 |
| ISBN-13 | 978-3-8325-5187-2 / 9783832551872 |
| Zustand | Neuware |
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Buch | Softcover (2024)
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