Topological methods in hydrodynamics / Vladimir I. Arnold, Boris A. Khesin.
Arnolʹd, V. I. (Vladimir Igorevich), 1937-2010.; Khesin, Boris A., author.
2021
QA911
Available Online

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Title Topological methods in hydrodynamics / Vladimir I. Arnold, Boris A. Khesin.
Author Arnolʹd, V. I. (Vladimir Igorevich), 1937-2010.
Edition 2nd ed.
ISBN 9783030742782 (electronic bk.)
3030742784 (electronic bk.)
9783030742775 (e-book)
3030742776 (e-book)
038794947X
9780387949475
DOI https://doi.org/10.1007/978-3-030-74278-2
Published Cham : Springer, 2021.
Language English
Description 1 online resource (xx, 455 pages) : illustrations
Item Number 10.1007/978-3-030-74278-2 doi
Call Number QA911
Dewey Decimal Classification 532/.5
Summary 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.-- Provided by publisher.
Access Note Access limited to authorized users.
Added Author Khesin, Boris A., author.
Series Applied mathematical sciences (Springer-Verlag New York Inc.) ; 125. 0066-5452
Available in Other Form Topological Methods in Hydrodynamics.
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Record Appears in Online Resources > Ebooks
All Resources
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.

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