02374nam 22004693a 450 991043322670332120231108184551.0https://doi.org/10.30819/5187(CKB)4100000011743225(oapen)https://directory.doabooks.org/handle/20.500.12854/64447(ScCtBLL)04c2c828-9a9e-4ed5-ae09-89bc316a7c8f(Perlego)2327387(oapen)doab64447(oapen)doab84289(EXLCZ)99410000001174322520231108i20202021 uu engurmn|---annantxtrdacontentcrdamediacrrdacarrierTime-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic FieldJens-Henning MöllerBerlin/GermanyLogos Verlag Berlin2020[s.l.] :Logos Verlag Berlin,2020.1 electronic resource (145 p.)9783832551872 3832551875 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.Differential calculus & equationsbicsscTriebel-Lizorkin spacesTime-periodicMHD equationsTransference principleTrace spaceDifferential calculus & equationsMöller Jens-Henning1329470ScCtBLLScCtBLLBOOK9910433226703321Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field3039477UNINA