Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field Jens-Henning Möller.

Format:

Book

Author/Creator:

Möller, Jens-Henning, author.

Language:

English

Physical Description:

1 electronic resource (145 p.)

Place of Publication:

Berlin/Germany Logos Verlag Berlin 2020

[s.l.] : Logos Verlag Berlin, 2020.

Language Note:

English

Summary:

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.

Notes:

CC BY-NC-ND

Description based on print version record.

Publisher Number:

https://doi.org/10.30819/5187