  Analytical calculations of the dynamics of a curved domain wall in a nematic
liquid crystal are performed. The core of the wall is assumed to form a
cylinder, whose axis coincides with the direction of an external magnetic
field. The equation of motion for the nematic director field is solved in a
comoving coordinate frame by applying a polynomial expansion of the tilt angle
with respect to the radial distance from the wall core. Starting from a
cylindrical domain wall at rest as initial conditions, the shrinking of the
cylinder and the change of the wall width is analysed in detail. In particular,
we find that the Neel wall decays faster than the Bloch wall, in agreement with
energy considerations.
