TY  - BOOK
AU  - Möller,Jens-Henning
TI  - Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field
SN  - 9783832551872
PB  - Logos Verlag Berlin
KW  - Technology & Engineering / Agriculture
KW  - bisacsh
KW  - Technology
KW  - Electronic books
N1  - Access copy available to the general public
N2  - 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
UR  - https://openresearchlibrary.org/content/04c2c828-9a9e-4ed5-ae09-89bc316a7c8f
ER  -