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

By (author) Jens-Henning Moller

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

Extent: 145 pages

Publisher: Logos Verlag Berlin

Subjects: Technical Sciences: Computer Science, Engineering, IT, & Math

Language: English

Paperback (Published)

(October 2020)

ISBN: 9783832551872

6.65 x 9.45 inches

Price: $57.00

In stock

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.

  • By (author) Jens-Henning Moller