  The quasigeostrophic model is a simplified geophysical fluid model at
asymptotically high rotation rate or at small Rossby number. We consider the
quasigeostrophic equation with dissipation under random forcing in bounded
domains. We show that global unique solutions exist for appropriate initial
data. Unlike the deterministic quasigeostrophic equation whose well-posedness
is well-known, there seems no rigorous result on global existence and
uniqueness of the randomly forced quasigeostrophic equation. Our work provides
such a rigorous result on global existence and uniqueness, under very mild
conditions.
