書誌事項

Topological methods in hydrodynamics

Vladimir I. Arnold, Boris A. Khesin

(Applied mathematical sciences, v. 125)

Springer, c2021

2nd ed

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

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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詳細情報

  • NII書誌ID(NCID)
    BC07733777
  • ISBN
    • 9783030742775
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cham
  • ページ数/冊数
    xx, 455 p.
  • 大きさ
    25 cm
  • 親書誌ID
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