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

• Yazar: Möller, Jens-Henning (auth)
• Materyal Türü: Elektronik Kitap Bölümü
• Dil: İngilizce
• Baskı/Yayın Bilgisi: Berlin/Germany Logos Verlag Berlin 2020
• Konular: Differential calculus & equations; Triebel-Lizorkin spaces; Time-periodic; MHD equations; Transference principle; Trace space
• Online Erişim: DOAB: download the publication; DOAB: description of the publication

Özet

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.

Fiziksel Özellikler

1 electronic resource (145 p.)

ISBN

5187
9783832551872

Erişim

Open Access