Mathematical Study of Degenerate Boundary Layers (eBook)

A Large Scale Ocean Circulation Problem

Anne-Laure Dalibard (Autor)

eBook Download: PDF

111 Seiten
American Mathematical Society (Verlag)
978-1-4704-4407-5 (ISBN)

Infos

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.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• ISBN-10: 1-4704-4407-0 / 1470444070
• ISBN-13: 978-1-4704-4407-5 / 9781470444075