Dimension reduction for the micromagnetic energy functional on curved thin films
Date
2016-12-14Metadata
Show full item recordAbstract
Micromagnetic con gurations of the vortex and onion type have beenwidely studied in the context
of planar structures. Recently a signi cant interest to micromagnetic curved thin lms has appeared.
In particular, thin spherical shells are currently of great interest due to their capability to support skyrmion
solutions which can be stabilized by curvature e ects only, in contrast to the planar case where the intrinsic
Dzyaloshinsky-Moriya interaction is required.The aimof the paper is to performa $\Gamma$-development analysis
of the micromagnetic energy functional, when the shell is generated, like in the case of a sphere, by a
bounded and convex smooth surface.