Co-rotational chiral magnetic skyrmions near harmonic maps

Chiral magnetic skyrmions are topological solitons, of significant physical interest, arising in ferromagnets described by a micromagnetic energy including chiral (Dzyaloshinskii-Moriya) interaction term. We show that for small interaction, the on R 2 with co-rotational symmetry close to harmonic maps, and prove precise bounds differences. One application these is asymptotics. Another (pursued separate work) an alternate, quantitative proof recent skyrmion stability result Li-Melcher [18] .