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Mathematical Study of Degenerate Boundary Layers: A Large Scale Ocean Circulation Problem

Dalibard, Anne-Laure, Saint-Raymond, Laure

2018

Overview

This paper is concerned with a complete asymptotic analysis as These boundary layers, which are the main center of interest of the present paper, exhibit several types of peculiar behaviour. First, the size of the boundary layer on the western and eastern boundary, which had already been computed by several authors, becomes formally very large as one approaches northern and southern portions of the boudary, i.e. pieces of the boundary on which the normal is vertical. This phenomenon is known as geostrophic degeneracy. In order to avoid such singular behaviour, previous studies imposed restrictive assumptions on the domain Moreover, when the domain Eventually, the effect of boundary layers is non-local in several aspects. On the first hand, for algebraic reasons, the boundary layer equation is radically different on the west and east parts of the boundary. As a consequence, the Sverdrup equation is endowed with a Dirichlet condition on the East boundary, and no condition on the West boundary. Therefore western and eastern boundary layers have in fact an influence on the whole domain

• Publisher: American Mathematical Society
• Subject: Boundary layer / Ocean circulation / Ocean circulation -- Mathematical models / Ocean currents / Ocean currents -- Mathematical models
• ISBN: 9781470428358, 1470428350