Mathematical study of degenerate boundary layers a large scale ocean circulation problem
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...
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| Sprache: | eng |
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Providence, RI
American Mathematical Society
May 2018
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| Schriftenreihe: | Memoirs of the American Mathematical Society
volume 253, number 1206 |
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| Online Zugang: | Inhaltsverzeichnis Inhaltstext |
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Tag hinzufügen | Zusammenfassung: | 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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| Beschreibung: | "May 2018, volume 253, number 1206 (first of 7 numbers)" Enthält bibliographische Angaben und Index |
| Beschreibung: | vi, 105 Seiten Illustrationen, Diagramme 26 cm |
| ISBN: | 9781470428358 978-1-4704-2835-8 |