Mathematical study of degenerate boundary layers : a large scale ocean circulation problem /

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Bibliographic Details
Author / Creator:Dalibard, Anne-Laure, 1982- author.
Imprint:Providence, RI : American Mathematical Society, [2018]
Description:iv, 105 pages ; 26 cm.
Language:English
Series:Memoirs of the American Mathematical Society 1947-6221 ; volume 253, number 1206
Memoirs of the American Mathematical Society ; no. 1206.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11606354
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Other authors / contributors:Saint-Raymond, Laure, author.
ISBN:9781470428358
1470428350
9781470444075
Notes:Includes bibliographical references.
Description
Summary: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.
Physical Description:iv, 105 pages ; 26 cm.
Bibliography:Includes bibliographical references.
ISBN:9781470428358
1470428350
9781470444075
ISSN:1947-6221
;