  In this paper, we obtain uniformly rotating vorticity with sufficiently large
angular velocity in the unit disk. The solution consists of either a small
nearly-ellipse vortex patch which is highly concentrated near the origin or a
$2+1$ configuration in which the another two vortical components are very close
to the boundary of fluid domain. The total vorticity are prescribed and the
sizes of vortical domains are not necessarily small in the same order.
  The construction, which is based on a perturbation argument, exhibits a
subtle multiscale phenomenon in this highly rotating fluid.

Analysis of PDEs;Dynamical Systems