Topological Methods in Hydrodynamics

Boris A. Khesin

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Language: English

Published by Springer, 1998

038794947X / 9780387949475

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - 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.

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Title
Topological Methods in Hydrodynamics
Author
Boris A. Khesin
Publisher
Springer
Publication year
1998
Condition
Neu
Binding
Buch
Language
English
ISBN 10
038794947X
ISBN 13
9780387949475
Edition
2nd Edition
Item weight
758 grams
Dimensions
241x160x27 mm

AHA-BUCH GmbH

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