Mathematical Study of Degenerate Boundary Layers
A Large Scale Ocean Circulation Problem
Seiten
2018
American Mathematical Society (Verlag)
978-1-4704-2835-8 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-2835-8 (ISBN)
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Offers 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.
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.
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.
Anne-Laure Dalibard, Universite Pierre et Marie Curie, Paris, France. Laure Saint-Raymond, Ecole Normale Superieure, Paris, France.
| Erscheinungsdatum | 22.08.2018 |
|---|---|
| Reihe/Serie | Memoirs of the American Mathematical Society |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 185 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Naturwissenschaften ► Physik / Astronomie | |
| ISBN-10 | 1-4704-2835-0 / 1470428350 |
| ISBN-13 | 978-1-4704-2835-8 / 9781470428358 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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