<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "Optimal scaling laws for domain patterns in thin ferromagnetic films with strong perpendicular anisotropy"^^ . "The topic of this thesis are magnetic domains in thin ferromagnetic films with strong perpendicular anisotropy. Our starting point is Micromagnetics, a continuum model based on the principle of minimal energy. At its core is the micromagnetic energy functional, whose local minimizer represent the stable magnetization configurations of the ferromagnetic body. Identifying a suitable thin film regime leads us to investigate a singular limit of the nonconvex and nonlocal micromagnetic energy functional. Our asymptotic analysis yields a scaling law for the typical domain size as a function of the film thickness and another material parameter. To prove an ansatz free lower bound of the energy, we extend an interpolation inequality first obtained in [26]. Moreover, we study a shape optimization problem that can be considered as a prototypical model for a single magnetic domain. We minimize the sum of the perimeter and the dipolar self-energy among subsets of R3 with prescribed volume. Upon proving that minimizers exist, we show that they are (L3-equivalent to) connected open sets with smooth boundary. We furthermore establish a scaling law for the minimal energy in terms of the prescribed volume which yields further information about the shape of minimizers."^^ . "2017" . . . . . . . "Florian"^^ . "Nolte"^^ . "Florian Nolte"^^ . . . . . . "Optimal scaling laws for domain patterns in thin ferromagnetic films with strong perpendicular anisotropy (PDF)"^^ . . . "Dissertation_Florian_Nolte_PDFA-1b.pdf"^^ . . . "Optimal scaling laws for domain patterns in thin ferromagnetic films with strong perpendicular anisotropy (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Optimal scaling laws for domain patterns in thin ferromagnetic films with strong perpendicular anisotropy (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Optimal scaling laws for domain patterns in thin ferromagnetic films with strong perpendicular anisotropy (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Optimal scaling laws for domain patterns in thin ferromagnetic films with strong perpendicular anisotropy (Other)"^^ . . . . . . "small.jpg"^^ . . . "Optimal scaling laws for domain patterns in thin ferromagnetic films with strong perpendicular anisotropy (Other)"^^ . . . . . . "indexcodes.txt"^^ . . "HTML Summary of #23797 \n\nOptimal scaling laws for domain patterns in thin ferromagnetic films with strong perpendicular anisotropy\n\n" . "text/html" . . . "510 Mathematik"@de . "510 Mathematics"@en . .