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Mathematical Study of Degenerate Boundary Layers.
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 cu...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
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Providence :
American Mathematical Society,
2018.
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| Colección: | Memoirs of the American Mathematical Society Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Descripción Física: | 1 online resource (118 pages) |
| ISBN: | 9781470444075 1470444070 |