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

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


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About the Book

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.


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Product Details
  • ISBN-13: 9783832551872
  • Publisher: Logos Verlag Berlin
  • Publisher Imprint: Logos Verlag Berlin
  • Height: 240 mm
  • No of Pages: 145
  • Spine Width: 0 mm
  • Width: 169 mm
  • ISBN-10: 3832551875
  • Publisher Date: 29 Oct 2020
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 412 gr


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