Topological methods in Hydrodynamics by Vladimir I. ArnoldTopological methods in Hydrodynamics by Vladimir I. Arnold

Topological methods in Hydrodynamics

byVladimir I. Arnold, Boris A. Khesin

Hardcover | August 5, 1999

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The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.
Title:Topological methods in HydrodynamicsFormat:HardcoverDimensions:376 pagesPublished:August 5, 1999Publisher:Springer-Verlag/Sci-Tech/Trade

The following ISBNs are associated with this title:

ISBN - 10:038794947X

ISBN - 13:9780387949475

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Table of Contents

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.