Title: TimePeriodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field
Publisher: Logos Verlag Berlin
Publication Date: 2020
Language: English
ISBN 10: 3832551875
ISBN 13: 9783832551872
Binding: paperback
Condition: New
Weight: 18 ounces

About this title

Synopsis

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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