General theory of vortices

著者

• Kozlov, V. V.

書誌事項

General theory of vortices

V.V. Kozlov

（Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze, v. 67 . Dynamical systems ; 10）

Springer Verlag, c2003

• : gw

タイトル別名

Obshchaya teoriya vikhrej

注記

Translated from the Russian

"Title of the Russian edition: Obshchaya teoriya vikhrej, Izdatel'skij Dom, Udmurtskij Universitet, 1998"--T.p. verso

Includes bibliographical references (p. [177]-180) and index

内容説明・目次

内容説明

This book contains a mathematical exposition of analogies between classical (Hamiltonian) mechanics, geometrical optics, and hydrodynamics. In addition, it details some interesting applications of the general theory of vortices, such as applications in numerical methods, stability theory, and the theory of exact integration of equations of dynamics.

目次

1. Hydrodynamics, Geometric Optics, and Classical Mechanics.- 2. General Vortex Theory.- 3. Geodesics on Lie Groups with a Left-Invariant Metric.- 4. Vortex Method for Integrating Hamilton Equations.- Supplement 1: Vorticity Invariants and Secondary Hydrodynamics.- Supplement 2: Quantum Mechanics and Hydrodynamics.- Supplement 3: Vortex Theory of Adiabatic Equilibrium Processes.- References.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA62149313
• ISBN:
  • 9783540422075
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 原本言語コード: rus
• 出版地: Berlin ; Tokyo
• ページ数/冊数: viii, 184 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA805.D5613
  • DC21 : 531
• 件名:
  • LCSH : Mechanics
  • LCSH : Differentiable dynamical systems
• 親書誌ID:
  • BA01321819