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

• Tác giả: Jens-Henning Möller
• Ngôn ngữ: eng
• ISBN-13: 978-3832551872
• Ký hiệu phân loại: 515.35 Differential equations
• Thông tin xuất bản: Berlin/Germany Logos Verlag Berlin 2020
• Mô tả vật lý: 1 electronic resource (145 p.)
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 231490
• Chủ đề: 1. Differential calculus & equations

Tóm tắt

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.