Dynamics of symplectic fluids and point vortices

被引：5

作者：

Khesin, Boris ^{[1
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

来源：

GEOMETRIC AND FUNCTIONAL ANALYSIS | 2012年 / 22卷 / 05期

基金：

加拿大自然科学与工程研究理事会;

关键词：

DIFFEOMORPHISMS; MOTION;

D O I：

10.1007/s00039-012-0182-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present the Hamiltonian formalism for the Euler equation of symplectic fluids, introduce symplectic vorticity, and study related invariants. In particular, this allows one to extend Ebin's long-time existence result for geodesics on the symplectomorphism group to metrics not necessarily compatible with the symplectic structure. We also study the dynamics of symplectic point vortices, describe their symmetry groups and integrability.

引用

页码：1444 / 1459

页数：16

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