The geometry of ocean mixing

Carolina Mendoza

CSIC, Instituto de Ciencias Matemáticas (CSIC-UAM-UC3M-UCM), Madrid, Spain

We present a new Lagragian descriptor based on the measure of the arclength of trajectories of particles in the surface of the ocean in a defined time. We apply this tool to real data of velocity fields of the Kuroshio current obtained from SURCOUF project, based on the use of the altimetric data distributed by AVISO (http://www.aviso.oceanobs.com). We identify the Lagrangian structure that characterizes the flow founding the skeleton of the Kuroshio current. In addition, the novel approach we follow provides a global dynamic picture of oceanic flows since it detects simultaneously invariant manifolds, hyperbolic and non hyperbolic regions.

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