- 98-364 Brannan J. R., Duan Jinqiao, Wanner Thomas
- Dissipative Quasigeostrophic Dynamics under Random Forcing
May 25, 98
(auto. generated ps),
of related papers
Abstract. 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.