Topological methods in hydrodynamics [electronic resource]

• 作者： Arnold, Vladimir I.
• 其他作者：
  • Khesin, Boris A.
  • SpringerLink (Online service)
• 其他題名：
  • Applied mathematical sciences ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 版本：Second edition.
• 叢書名： Applied mathematical sciences,v.125
• 主題： Hydrodynamics. , Topology. , Mathematics. , Fluid mechanics. , System theory. , Computational intelligence. , Mathematical physics. , Dynamics. , Ergodic theory. , Mathematics, general. , Engineering Fluid Dynamics. , Complex Systems. , Computational Intelligence. , Theoretical, Mathematical and Computational Physics. , Dynamical Systems and Ergodic Theory.
• ISBN： 9783030742782 (electronic bk.) 、 9783030742775 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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.
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• 摘要註: 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.
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