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Topological methods in hydrodynamics

Arnold, Vladimir I.

Topological methods in hydrodynamics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Topological methods in hydrodynamicsby Vladimir I. Arnold, Boris A. Khesin.
作者:	Arnold, Vladimir I.
其他作者:	Khesin, Boris A.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xx, 455 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Hydrodynamics.
電子資源:	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

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