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(Ebook) Mathematical Study of Degenerate Boundary Layers: a Large Scale Ocean Circulation Problem by Anne-Laure Dalibard; Laure Saint-Raymond ISBN 9781470444075, 1470444070

  • SKU: EBN-51631728
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Instant download (eBook) Mathematical Study of Degenerate Boundary Layers: a Large Scale Ocean Circulation Problem after payment.
Authors:Anne-Laure Dalibard; Laure Saint-Raymond
Pages:118 pages.
Year:2018
Editon:1
Publisher:American Mathematical Society
Language:english
File Size:1.31 MB
Format:pdf
ISBNS:9781470444075, 1470444070
Categories: Ebooks

Product desciption

(Ebook) Mathematical Study of Degenerate Boundary Layers: a Large Scale Ocean Circulation Problem by Anne-Laure Dalibard; Laure Saint-Raymond ISBN 9781470444075, 1470444070

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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