Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field / Jens-Henning Möller

• Autore: Möller Jens-Henning
• Pubblicazione: [s.l.] : , : Logos Verlag Berlin, , 2020
• Descrizione fisica: 1 electronic resource (145 p.)
• Soggetto topico: Differential calculus & equations
• Soggetto non controllato: Triebel-Lizorkin spaces; Time-periodic; MHD equations; Transference principle; Trace space
• Sommario/riassunto: 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.
• Titolo autorizzato: Time-Periodic Solutions to the Equations of Magnetohydrodynamics with Background Magnetic Field
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910433226703321
• Lo trovi qui: Univ. Federico II