2000/12/30 by Jinqiao Duan, Duan, Jinqiao, Björn Schmalfuß +1 · 1 citation
Economics, Econometrics and Finance · Engineering · Mathematics · #34D35 #47H10 #60H25 #76D05 #86A05 #Analysis of PDEs (math.AP) #Atmospheric and Oceanic Physics (physics.ao-ph) #Data Analysis #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geophysics (physics.geo-ph) #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Probability (math.PR) #Stability and Controllability of Differential Equations #Statistics and Probability (physics.data-an) #Stochastic processes and financial applications
paper · pdf · doi:10.48550/arxiv.math/0101001
openalex publication_date 2000/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 interface between the oceans and the atmosphere). The time-periodic fluctuations are due to periodic rotation of the earth and thus periodic exposure of the earth to the solar radiation. After establishing the well-posedness of the baroclinic quasigeostrophic flow model in the state space, we demonstrate the existence of the random attractors, again in the state space. We also discuss the relevance of our result to climate modeling.