Bibliograph

Topological Methods in Hydrodynamics, by Vladimir I. Arnold, Boris A. Khesin

Type

Label

Topological Methods in Hydrodynamics, by Vladimir I. Arnold, Boris A. Khesin

Language

eng

resource.imageBitDepth

Literary Form

non fiction

Main title

Topological Methods in Hydrodynamics

Medium

electronic resource

Nature of contents

dictionaries

Oclc number

1252659008

Responsibility statement

by Vladimir I. Arnold, Boris A. Khesin

Series statement

Applied Mathematical Sciences,, 125, 0066-5452Springer eBooks.

Summary

First published in 1998 this unique monograph treats topological, group-theoretic, and geometric problems of ideal hydrodynamics and magneto-hydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. This book, now accepted as one of the main references in the field, is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry. The updated second edition also contains a survey of recent developments in this now-flourishing field of topological and geometric hydrodynamics.--, Provided by publisher

Table Of 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

Contributor