  Rozowsky, Volkas and Wali recently found interesting numerical solutions to
the field equations for a gauged U1xU1 scalar field model. Their solutions
describe a reflection-symmetric domain wall with scalar fields and coupled
gauge configurations that interpolate between constant magnetic fields on one
side of the wall and exponentially decaying ones on the other side. This
corresponds physically to an infinite sheet of supercurrent confined to the
domain wall with a linearly rising gauge potential on one side and Meissner
suppression on the other. While it was shown that these static solutions
satisfied the field equations, their stability was left unresolved. In this
paper, we analyse the normal modes of perturbations of the static solutions to
demonstrate their perturbative stability.
