Mathematical study of degenerate boundary layers : a large scale ocean circulation problem /
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| Author / Creator: | Dalibard, Anne-Laure, 1982- author. |
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| 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 |
| 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. |
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| Physical Description: | iv, 105 pages ; 26 cm. |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9781470428358 1470428350 9781470444075 |
| ISSN: | 1947-6221 ; |
