Topological Methods in Hydrodynamics

Name: Topological Methods in Hydrodynamics
SKU: 2844272
Price: 440.99 AUD
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Hardback

Series:

Applied Mathematical Sciences,

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Description

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.

Release date Australia

April 13th, 1998

Author

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Illustrations

XV, 376 p.

Pages

376

Series

Applied Mathematical Sciences,

Dimensions

156x234x22

ISBN-13

9780387949475

Product ID

2844272

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