The nonlinear dynamics of magnetic flux, moving in a vortex-free super
conductor is considered. It has been shown that the time dependent cha
racteristic size R of magnetic flux domains is described by the scalin
g behavior R similar to t(nu), where nu = 1/4 for circular droplets an
d nu = 1/3 for elongated asymmetric droplets. These domains possess a
sharp magnetic flux front and exist for a macroscopic long time in con
tradiction with usual diffusive behavior. (C) 1997 Published by Elsevi
er Science Ltd.