Mathematical Study of Degenerate Boundary Layers: A Large Scale Ocean Circulation Problem - Couverture souple

Dalibard, Anne-Laure; Saint-Raymond, Laure

Couverture souple

ISBN 10 : 1470428350 ISBN 13 : 9781470428358

Editeur : American Mathematical Society, 2018

Synopsis

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.

A propos du livre

À propos de l'auteur

Anne-Laure Dalibard, Universite Pierre et Marie Curie, Paris, France.

Laure Saint-Raymond, Ecole Normale Superieure, Paris, France.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1470428350
• ISBN 13: 9781470428358
• Reliure: Broché
• Nombre de pages: 111
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible