Möller, Jens-Henning <br/><br/>
Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field 
Jens-Henning Möller. 
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<br/><br/> 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. 
<br/><br/><label>ISBN: </label>9783832551872 
<br/><br/><label>Standard No.: </label>https://doi.org/10.30819/5187 
<br/><br/><label>Source: </label>
<br/><br/><label>Subjects--Topical Terms: </label><br/>Technology & Engineering / Agriculture<br/>Technology
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.