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Topological methods in hydrodynamics

Arnold, Vladimir I.

Topological methods in hydrodynamics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Topological methods in hydrodynamicsby Vladimir I. Arnold, Boris A. Khesin.
Author:	Arnold, Vladimir I.
other author:	Khesin, Boris A.
Published:	Cham :Springer International Publishing :2021.
Description:	xx, 455 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Hydrodynamics.
Online resource:	https://doi.org/10.1007/978-3-030-74278-2
ISBN:	9783030742782$q(electronic bk.)

Topological methods in hydrodynamics
Arnold, Vladimir I.

Topological methods in hydrodynamics[electronic resource] /by Vladimir I. Arnold, Boris A. Khesin. - Second edition. - Cham :Springer International Publishing :2021. - xx, 455 p. :ill., digital ;24 cm. - Applied mathematical sciences,v.1250066-5452 ;. - Applied mathematical sciences ;v.176..

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.

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.

ISBN: 9783030742782$q(electronic bk.)

Standard No.: 10.1007/978-3-030-74278-2doiSubjects--Topical Terms:

194437
Hydrodynamics.

LC Class. No.: QA911 / .A75 2021

Dewey Class. No.: 532.5

Topological methods in hydrodynamics
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300 $a xx, 455 p. : $b ill., digital ; $c 24 cm.
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520 $a 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.
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