Mathematical study of degenerate boundary layers : a large scale ocean circulation problem
著者
書誌事項
Mathematical study of degenerate boundary layers : a large scale ocean circulation problem
（Memoirs of the American Mathematical Society, no. 1206）
American Mathematical Society, c2018
大学図書館所蔵 件 / 全8件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references
May 2018, volume 253, number 1206 (first of 7 numbers)
内容説明・目次
内容説明
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.
「Nielsen BookData」 より