On the convergence of the energies and the convergence of almost minimizers in thin infinite magnetic wires
Davit Harutyunyan · arXiv (Cornell University) · 2012
We study static 180 degree domain walls in infinite magnetic wires with a bounded, centrally symmetric and simply-connected cross sections with a piecewise C boundary. We prove an existence of global minimizers for the energy of micromagnetics and a Γ-convergence for the energies. We prove as well a rate of convergence for the minimal energies and a convergence of almost minimizers.