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Mathematical Study of Degenerate Boundary Layers: A Large Scale Ocean Circulation Problem (Memoirs of the American Mathematical Society)

Differential Equations

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About the Author Anne-Laure Dalibard, Universite Pierre et Marie Curie, Paris, France.Laure Saint-Raymond, Ecole Normale Superieure, Paris, France. Product Description 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.

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Format: paperback
ASIN: 1470428350
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 30 June 2018
Listed Since: 22 February 2018

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Mathematical Study of Degenerate Boundary Layers: A Large Scale Ocean Circulation Problem (Memoirs of the American Mathematical Society)

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