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Mathematical Study of Degenerate Boundary Layers : a Large Scale Ocean Circulation Problem by Anne-Laure Dalibard; Laure Saint-Raymond; American Mathematical Society is a nonfiction available to read on EtoBox.

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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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Author

Anne-Laure Dalibard; Laure Saint-Raymond; American Mathematical Society

Publisher

AMS, American Mathematical Society

Published

2018

Language

EN

ISBN

9781470444075

Category

nonfiction

Subjects

Science, Mathematics, Physics