GENERALIZED LAGRANGIAN SOLUTIONS FOR ATMOSPHERIC AND OCEANIC FLOWS

被引：44

作者：

CULLEN, MJP ^{[1
]}

NORBURY, J ^{[1
]}

PURSER, RJ ^{[1
]}

机构：

[1] MATSUSHITA ELECT IND CO LTD,KADOMA,OSAKA 571,JAPAN

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1991年 / 51卷 / 01期

关键词：

SEMIGEOSTROPHIC; MONGE-AMPERE EQUATION; DISCONTINUITIES; GENERALIZED SOLUTIONS;

D O I：

10.1137/0151002

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

Atmospheric oceanic flows strongly constrained by rotation and stratification can be described by a set of Lagrangian partial differential equations called the semigeostrophic equations. In these equations the trajectories must be determined implicity. Generalised solutions of these equations are defined as a sequence of rearrangements of the fluid, which need to be smooth. These solutions are closely related to generalised solutions of the Monge-Ampere equation. Existence and uniqueness of such solutions is proved. The evolution is shown to be a sequence of minimum energy states of the fluid, giving strong physical plausibility to the solutions.

引用

页码：20 / 31

页数：12

共 29 条

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