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.
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty
- Applied Mathematics
Buffoni, G., Cappelletti, A., & Picco, P. (2015). On the Ekman Equations for Ocean Currents Driven by a Stochastic Wind. Stochastic Analysis and Applications, 33(2), 356 - 382. https://doi.org/10.1080/07362994.2014.998770