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Topological Methods in Hydrodynamics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Topological Methods in Hydrodynamics/ by Vladimir I. Arnold, Boris A. Khesin.
Author:	Arnold, Vladimir I.
other author:	Khesin, Boris A.
Description:	XX, 455 p. 79 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Mathematics. -
Online resource:	https://doi.org/10.1007/978-3-030-74278-2
ISBN:	9783030742782

Topological Methods in Hydrodynamics
Arnold, Vladimir I.

Topological Methods in Hydrodynamics[electronic resource] /by Vladimir I. Arnold, Boris A. Khesin. - 2nd ed. 2021. - XX, 455 p. 79 illus.online resource. - Applied Mathematical Sciences,1252196-968X ;. - Applied Mathematical Sciences,191.

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

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

527692
Mathematics.

LC Class. No.: QA1-939

Dewey Class. No.: 510

Topological Methods in Hydrodynamics
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