Dynamics of symplectic fluids and point vortices

被引：0

作者：

Boris Khesin

机构：

[1] University of Toronto,Department of Mathematics

来源：

Geometric and Functional Analysis | 2012年 / 22卷

关键词：

Euler Equation; Symplectic Manifold; Poisson Structure; Symplectic Structure; Point Vortex;

D O I：

暂无

中图分类号：

学科分类号：

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：15