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Topological methods in hydrodynamics

Author: V I Arnolʹd; Boris A Khesin
Publisher: New York : Springer, 1998.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 125.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
Topological Methods in Hydrodynamics is the first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. The necessary preliminary notions both in hydrodynamics and pure mathematics are described with plenty of examples and figures. The book is accessible to graduate students as well as to pure and applied mathematicians  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: V I Arnolʹd; Boris A Khesin
ISBN: 038794947X 9780387949475
OCLC Number: 36509746
Description: xv, 374 pages : illustrations ; 24 cm.
Contents: I. Group and Hamiltonian Structures of Fluid Dynamics --
II. Topology of Steady Fluid Flows --
III. Topological Properties of Magnetic and Vorticity Fields --
IV. Differential Geometry of Diffeomorphism Groups --
V. Kinematic Fast Dynamo Problems --
VI. Dynamical Systems with Hydrodynamical Background.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 125.
Responsibility: Vladimir I. Arnold, Boris A. Khesin.

Abstract:

The first to examine topological, group-theoretic and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified viewpoint, this book describes preliminary notions in  Read more...

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