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Topological Methods in Hydrodynamics

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Topological Methods in Hydrodynamics/ by Vladimir I. Arnold, Boris A. Khesin.
作者:	Arnold, Vladimir I.
其他作者:	Khesin, Boris A.
面頁冊數:	XX, 455 p. 79 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Dynamical Systems and Ergodic Theory. -
電子資源:	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:

671353
Dynamical Systems and Ergodic Theory.

LC Class. No.: QA1-939

Dewey Class. No.: 510

Topological Methods in Hydrodynamics
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