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

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...

Повний опис

Збережено в:
Бібліографічні деталі
Інші автори: Möller, Jens-Henning (Редактор)
Формат: Електронний ресурс Частина з книги
Мова:Англійська
Опубліковано: Logos Verlag Berlin 2020
Предмети:
Онлайн доступ:OAPEN Library: download the publication
OAPEN Library: description of the publication
Теги: Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
Опис
Резюме: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.
ISBN:/doi.org/10.30819/5187
9783832551872
Доступ:Open Access