Computer simulation is utilized to study two-dimensional domain wall structures and dynamics in perinalloy thin films with easy axis parallel to the film plane. The effective wall mass and the viscosity coefficient are found to be one or two orders of magnitude greater than for one dimensional bulk material. For external easy axis fields much larger than the anisotropy field, the wall motion exhibits turbulent behavior with vortex break-down as a precursor. With an increasing hard axis field, the wall configuration changes from an asymmetric Bloch wall to a Neel wall.