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＜E-Book＞
Topological Methods in Hydrodynamics / by Vladimir I. Arnold, Boris A. Khesin
(Applied Mathematical Sciences. ISSN:2196968X ; 125)

Edition	2nd ed. 2021.
Publisher	Cham : Springer International Publishing : Imprint: Springer
Year	2021
Size	XX, 455 p. 79 illus : online resource
Authors	*Arnold, Vladimir I author Khesin, Boris A author SpringerLink (Online service)
Subjects	LCSH:Mathematics LCSH:Fluid mechanics LCSH:System theory LCSH:Computational intelligence LCSH:Statistical Physics LCSH:Dynamical systems FREE:General Mathematics FREE:Engineering Fluid Dynamics FREE:Complex Systems FREE:Computational Intelligence FREE:Statistical Physics FREE:Dynamical Systems
Notes	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 HTTP:URL=https://doi.org/10.1007/978-3-030-74278-2

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