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＜電子ブック＞
Topological Methods in Hydrodynamics / by Vladimir I. Arnold, Boris A. Khesin
(Applied Mathematical Sciences. ISSN:2196968X ; 125)

版	2nd ed. 2021.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2021
大きさ	XX, 455 p. 79 illus : online resource
著者標目	*Arnold, Vladimir I author Khesin, Boris A author SpringerLink (Online service)
件　名	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
一般注記	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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