SALE ON NOW! PROMOTIONS

Close Notification

Your cart does not contain any items

Topological Methods in Hydrodynamics

Vladimir I. Arnold Boris A. Khesin

$370.95   $296.98

Hardback

Not in-store but you can order this
How long will it take?

QTY:

English
Springer Verlag
01 September 1999
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.
By:   ,
Imprint:   Springer Verlag
Country of Publication:   United States
Edition:   2nd
Volume:   v. 125
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 22mm
Weight:   1.610kg
ISBN:   9780387949475
ISBN 10:   038794947X
Series:   Applied Mathematical Sciences
Pages:   391
Publication Date:  
Audience:   College/higher education ,  Professional and scholarly ,  Further / Higher Education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

See Also