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Topological Methods in Hydrodynamics
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Catalogue Information
Field name
Details
Dewey Class
510
Title
Topological Methods in Hydrodynamics ([EBook] /) / by Vladimir I. Arnold, Boris A. Khesin.
Author
Arnold, Vladimir I.
Added Personal Name
Khesin, Boris A.
Other name(s)
SpringerLink (Online service)
Edition statement
2nd ed. 2021.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2021.
Physical Details
XX, 455 p. 79 illus. : online resource.
Series
Applied mathematical sciences
2196-968X ; ; 125
ISBN
9783030742782
Summary Note
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.:
Contents note
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.
Mode of acces to digital resource
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-74278-2
Links to Related Works
Subject References:
Complex Systems
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Computational Intelligence
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Dynamical Systems
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Engineering Fluid Dynamics
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Fluid mechanics
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General Mathematics
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Mathematics
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Statistical Physics
.
System theory
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Authors:
Arnold, Vladimir I.
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author
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Khesin, Boris A.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Applied mathematical sciences
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Classification:
510
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