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A Novel Investigation of Rotating and Stratified Flows

Susan Kurien
L.M. Smith
B.A. Wingate

The global ocean circulation current (thermohaline circulation) is a slow, large scale feature which originates in a relatively fast, small scale phenomenon known as the dense water overflow deep in the ocean. The coupling of the dynamics of the small fast motions to the large slow motions is correspondingly a function of the degree to which the various scales experience the rotation of the earth and the stratification of the ocean due to gravity. Motivated by the need to understand this type of scale-linking, we have obtained new mathematical results that describe the statistical behavior of rotating and stratified flows as a function of the relevant parameters, and hence as a function of scale.