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On the Ekman Equations for Ocean Currents Driven by a Stochastic Wind
Authors:Giuseppe Buffoni  Paola Picco
Affiliation:1. CNR–IMATI, Milano, Italy;2. ENEA CRAM, Pozzuolo di Lerici, Lerici (SP), Italy
Abstract:The basic assumptions for the depth-dependent Ekman equations are presented. An analysis of three wind stress time series, from different geographical locations, is performed: The results lead to interpret the wind stress as a stochastic process, with components fluctuating with deterministic frequencies. The stochastic equations coupling wind stress and ocean currents are formulated; their solutions are stochastically bounded. Results of numerical simulations are given to show the main behaviors of the system.
Keywords:Wind-driven currents  Depth-dependent model  Stochastic wind  Stationarity  Stochastic boundedness
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