- 99-454 Jinqiao Duan, Peter E. Kloeden and Bjorn Schmalfuss
- Exponential Stability of the Quasigeostrophic Equation under Random
(214K, ps file)
Nov 30, 99
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Abstract. The quasigeostrophic model describes
large scale and relatively slow fluid motion in geophysical flows.
We investigate the quasigeostrophic model under random forcing and
random boundary conditions. We first transform the model into
a partial differential equation with random coefficients.
Then we show that, under suitable conditions on the random
forcing, random boundary conditions, viscosity, Ekman constant
and Coriolis parameter, all quasigeostrophic motion
approach a unique stationary
state exponentially fast.
This stationary state corresponds to a
unique invariant Dirac measure.