| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910433226703321 |
|
|
Autore |
Möller Jens-Henning |
|
|
Titolo |
Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field / Jens-Henning Möller |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Berlin/Germany, : Logos Verlag Berlin, 2020 |
|
[s.l.] : , : Logos Verlag Berlin, , 2020 |
|
|
|
|
|
|
|
|
|
Descrizione fisica |
|
1 electronic resource (145 p.) |
|
|
|
|
|
|
Soggetti |
|
Differential calculus & equations |
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Sommario/riassunto |
|
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. |
|
|
|
|
|
|
|
| |