Topological Methods in Hydrodynamics (Applied Mathematical Sciences Vol.125)

Arnold, Vladimir I./ Khesin, Boris A.

Springer（1998発売）

• 製本 Hardcover:ハードカバー版／ページ数 376 p.
• 商品コード 9780387949475

基本説明

Develops the differential geometrical and topological points of view in hydrodynamics.

Full Description

The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.

Contents

Group and Hamiltonian Structures of Fluid Dynamics.- Topology of Steady Fluid Flows.- Topological Properties of Magnetic and Vorticity Fields.- Differential Geometry of Diffeomorphism Groups.- Kinematic Fast Dynamo Problems.- Dynamical Systems with Hydrodynamical Background.