Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field

Jens-Henning Möller (Autor)

Buch | Softcover

145 Seiten

2020
Logos Berlin (Verlag)
978-3-8325-5187-2 (ISBN)

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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.

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