Nonlinear Dynamics of Wind-Drift Currents at Mid-Latitudes

Fuente: arXiv
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Main Author: Puntini, Christian
Format: Preprint
Published: 2025
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_version_ 1866918181130469376
author Puntini, Christian
author_facet Puntini, Christian
contents Starting from the Navier-Stokes equation in the $f$-plane approximation, we provide an exact and explicit solution of the governing equations at leading order for fluid flows in the upper layer of the ocean at mid-latitudes, driven by a wind stress. Such a solution highlights the presence of a mean Ekman current superimposed to trochoidal oscillations and a background geostrophic current.
format Preprint
id arxiv_https___arxiv_org_abs_2506_10454
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nonlinear Dynamics of Wind-Drift Currents at Mid-Latitudes
Puntini, Christian
Fluid Dynamics
Mathematical Physics
Atmospheric and Oceanic Physics
76M45, 76U60, 35B30, 35C05, 35Q30, 35Q35
Starting from the Navier-Stokes equation in the $f$-plane approximation, we provide an exact and explicit solution of the governing equations at leading order for fluid flows in the upper layer of the ocean at mid-latitudes, driven by a wind stress. Such a solution highlights the presence of a mean Ekman current superimposed to trochoidal oscillations and a background geostrophic current.
title Nonlinear Dynamics of Wind-Drift Currents at Mid-Latitudes
topic Fluid Dynamics
Mathematical Physics
Atmospheric and Oceanic Physics
76M45, 76U60, 35B30, 35C05, 35Q30, 35Q35
url https://arxiv.org/abs/2506.10454