VORTICITY AND WAVES - GEOMETRY OF PHASE-SPACE AND THE PROBLEM OF NORMAL VARIABLES

被引：16

作者：

ZEITLIN, V

机构：

[1] OBSERV NICE,CNRS,F-06300 NICE,FRANCE

[2] MOSCOW ATMOSPHER PHYS INST,MOSCOW 109017,USSR

来源：

PHYSICS LETTERS A | 1992年 / 164卷 / 02期

关键词：

D O I：

10.1016/0375-9601(92)90699-M

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The problem of finding Hamiltonian variables free of constraints imposed by an infinity of conservation laws is studied for two wave-vortex systems: non-linear Rossby waves and non-linear internal gravity waves in the Boussinesq approximation. The structure of their phase-spaces is displayed and a perturbative relation between old and new variables is established. The canonical variables of Zakharov and Piterbarg for Rossby waves arise as a particular case of this construction. Their domain of validity is further specified and the role of flow topology in establishing of a Hamiltonian picture is discussed.

引用

页码：177 / 183

页数：7

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