  In this paper we analyze the interaction of an incompressible, generalized
Newtonian fluid with a linearly elastic Koiter shell whose motion is restricted
to transverse displacements. The middle surface of the shell constitutes the
mathematical boundary of the three-dimensional fluid domain. We show that weak
solutions exist as long as the magnitude of the displacement stays below some
(possibly large) bound which is determined by the geometry of the undeformed
shell.
