2 papers
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.AP2012
Vortex dynamics in the presence of excess energy for the Landau-Lifschitz-Gilbert equation
Matthias Kurzke, Christof Melcher, Roger Moser +1
We study the Landau-Lifshitz-Gilbert equation for the dynamics of a magnetic vortex system. We present a PDE-based method for proving vortex dynamics that does not rely on strong w…