96 citations · 100 across the 4 of their papers we have counts for
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math.AP2016
Compactness results for static and dynamic chiral skyrmions near the conformal limit
Lukas Döring, Christof Melcher
We examine lower order perturbations of the harmonic map prob- lem from to including chiral interaction in form of a helicity term that prefers modula…
math.AP2014★ 4 cited
Asymmetric domain walls of small angle in soft ferromagnetic films
Lukas Döring, Radu Ignat
We focus on a special type of domain walls appearing in the Landau-Lifshitz theory for soft ferromagnetic films. These domain walls are divergence-free -valued transition laye…
math.AP2013
A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types
Lukas Döring, Radu Ignat, Felix Otto
We study the Landau-Lifshitz model for the energy of multi-scale transition layers -- called "domain walls" -- in soft ferromagnetic films. Domain walls separate domains of constan…