General theory of vortices
著者
書誌事項
General theory of vortices
（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
大学図書館所蔵 全89件
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.
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