We try to give a description of domain wall motions in ferromagnets by
a singular limit analysis starting from the Landau-Lifshitz model. Th
e results of this paper assert that, for large magnetic anisotropy ene
rgy, the domain wall motions approximate to the surface flow moving by
a constant velocity or the mean curvature of the surfaces. (C) 1997 E
lsevier Science B.V.