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March 2003 The 3D Quasigeostrophic Fluid Dynamics Under Random Forcing On Boundary
Jinqiao Duan, Bjorn Schmalfuss
Commun. Math. Sci. 1(1): 133-151 (March 2003).


The three-dimensional baroclinic quasigeostrophic flow model has been widely used to study basic mechanisms in oceanic flows and climate dynamics. In this paper, we consider this flow model under random wind forcing and time-periodic fluctuations on fluid boundary (the air-sea surface). The time-periodic fluctuations are due to periodic rotatios of the earth and thus periodic exposure of the earth to the solar radiation. After overcoming the difficulty due to the low regualrity of an associated Ornstein-Uhlenbeck process, we establish the well-posedness of the baroclinic quasigeostrophic flow model in the state space. Then we demonstrate the existence of the random attractors, again in the state space. We also discuss the relevance of out result to climate modeling.


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Jinqiao Duan. Bjorn Schmalfuss. "The 3D Quasigeostrophic Fluid Dynamics Under Random Forcing On Boundary." Commun. Math. Sci. 1 (1) 133 - 151, March 2003.


Published: March 2003
First available in Project Euclid: 7 June 2005

zbMATH: 1153.86302
MathSciNet: MR1979847

Rights: Copyright © 2003 International Press of Boston

Vol.1 • No. 1 • March 2003
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