Topological Methods in Hydrodynamics

Boris A. Khesin

ISBN 10: 038794947X / ISBN 13: 9780387949475

Published by Springer New York Apr 1998, 1998

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -Topological hydrodynamics is a young branch of mathematics studying topological features of flows with complicated trajectories, as well as their applications to fluid motions. It is situated at the crossroad of hyrdodynamical stability theory, Riemannian and symplectic geometry, magnetohydrodynamics, theory of Lie algebras and Lie groups, knot theory, and dynamical systems. Applications of this approach include topological classification of steady fluid flows, descriptions of the Korteweg-de Vries equation as a geodesic flow, and results on Riemannian geometry of diffeomorphism groups, explaining, in particular, why longterm dynamical weather forecasts are not reliable. Topological Methods in Hydrodynamics is the first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics for a unified point of view. The necessary preliminary notions both in hydrodynamics and pure mathematics are described with plenty of examples and figures. The book is accessible to graduate students as well as to both pure and applied mathematicians working in the fields of hydrodynamics, Lie groups, dynamical systems and differential geometry. 396 pp. Englisch.

Seller Inventory # 9780387949475

Bibliographic Details

• Title: Topological Methods in Hydrodynamics
• Publisher: Springer New York Apr 1998
• Publication Date: 1998
• Language: English
• ISBN 10: 038794947X
• ISBN 13: 9780387949475
• Binding: Buch
• Condition: Neu

About this title

Synopsis

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.

Product Description

Topological Methods in Hydrodynamics The first to examine topological, group-theoretic and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified viewpoint, this book describes preliminary notions in hydrodynamics and pure mathematics with numerous examples and figures.