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Mathematical Study Of Degenerate Boundary Layers A Large Scale Ocean Circulation Problem 1st Edition Annelaure Dalibard Laure Saintraymond

SKU: BELL-51631728

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Mathematical Study Of Degenerate Boundary Layers A Large Scale Ocean Circulation Problem 1st Edition Annelaure Dalibard Laure Saintraymond instant download after payment.

Publisher: American Mathematical Society

File Extension: PDF

File size: 1.31 MB

Pages: 118

Author: Anne-Laure Dalibard; Laure Saint-Raymond

ISBN: 9781470444075, 1470444070

Language: English

Year: 2018

Edition: 1

Product desciption

Mathematical Study Of Degenerate Boundary Layers A Large Scale Ocean Circulation Problem 1st Edition Annelaure Dalibard Laure Saintraymond by Anne-laure Dalibard; Laure Saint-raymond 9781470444075, 1470444070 instant download after payment.

This paper is concerned with a complete asymptotic analysis as $E \to 0$ of the Munk equation $\partial _x\psi -E \Delta ^2 \psi = \tau $ in a domain $\Omega \subset \mathbf R^2$, supplemented with boundary conditions for $\psi $ and $\partial _n \psi $. This equation is a simple model for the circulation of currents in closed basins, the variables $x$ and $y$ being respectively the longitude and the latitude. A crude analysis shows that as $E \to 0$, the weak limit of $\psi $ satisfies the so-called Sverdrup transport equation inside the domain, namely $\partial _x \psi ^0=\tau $, while boundary layers appear in the vicinity of the boundary.