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Möller, Jens-Henning

Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field Jens-Henning Möller. - 1 online resource (1 p.)

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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.

ISBN: 9783832551872

Standard No.: https://doi.org/10.30819/5187

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Subjects--Topical Terms:
Technology & Engineering / Agriculture
Technology

Index Terms--Genre/Form:
Electronic books.