We give a description of domain wall motions in ferromagnets in a stro
ng external magnetic field starling from the Landau-Lifshitz phenomeno
logical model using a singular limit analysis. We obtain a theoretical
formula for the velocity of the domain wall motion. The value of the
velocity depends on the magnitude of the external magnetic field and t
he relation between the direction of the external magnetic field and t
he direction of the domain wall motion. (C) 1998 Elsevier Science B.V.