LEADER 02217nam  22004213a 450 
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024 8 $ahttps://doi.org/10.30819/5187
035   $a(CKB)4100000011743225
035   $a(oapen)https://directory.doabooks.org/handle/20.500.12854/64447
035   $a(ScCtBLL)04c2c828-9a9e-4ed5-ae09-89bc316a7c8f
035   $a(EXLCZ)994100000011743225
100   $a20231108i20202021  uu 
101 0 $aeng
135   $aurmn|---annan
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 00$aTime-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field$fJens-Henning Möller
210  1$a[s.l.] :$cLogos Verlag Berlin,$d2020.
215   $a1 electronic resource (145 p.)
311 08$a9783832551872 
311 08$a3832551875 
330   $aIn 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.
606   $aDifferential calculus & equations$2bicssc
610   $aTriebel-Lizorkin spaces
610   $aTime-periodic
610   $aMHD equations
610   $aTransference principle
610   $aTrace space
615  7$aDifferential calculus & equations
700   $aMöller$b Jens-Henning$01329470
801  0$bScCtBLL
801  1$bScCtBLL
906   $aBOOK
912   $a9910433226703321
996   $aTime-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field$93039477
997   $aUNINA