  We consider the three-dimensional time-dependent Gross-Pitaevskii equation
arising in the description of rotating Bose-Einstein condensates and study the
corresponding scaling limit of strongly anisotropic confinement potentials. The
resulting effective equations in one or two spatial dimensions, respectively,
are rigorously obtained as special cases of an averaged three dimensional limit
model. In the particular case where the rotation axis is not parallel to the
strongly confining direction the resulting limiting model(s) include a
negative, and thus, purely repulsive quadratic potential, which is not present
in the original equation and which can be seen as an effective centrifugal
force counteracting the confinement.
