Dynamical Systems X
General Theory of Vortices
(Sprache: Englisch)
Well-known first-rate author Treats a major topic in mathematical physics Text: This book contains a mathematical exposition of analogies between classical (Hamiltonian) mechanics, geometrical optics, and hydrodynamics. This theory highlights several...
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Well-known first-rate author Treats a major topic in mathematical physics Text: This book contains a mathematical exposition of analogies between classical (Hamiltonian) mechanics, geometrical optics, and hydrodynamics. This theory highlights several general mathematical ideas that appeared in Hamiltonian mechanics, optics and hydrodynamics under different names. In addition, some interesting applications of general vortex theory are discussed in the book such as applications in numerical methods, stability theory, and the theory of exact integration of equations of dynamics. The investigation of families of trajectories of Hamiltonian systems can be reduced to problems of multidimensional ideal fluid dynamics. For example, the well-known Hamilton-Jacobi method corresponds to the case of potential flows. The book will be of great interest to researchers and postgraduate students interested in mathematical physics, mechanics, and the theory ofdifferential equations.
Inhaltsverzeichnis zu „Dynamical Systems X “
1. Hydrodynamics, Geometric Optics, and Classical Mechanics2. 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
Bibliographische Angaben
- Autor: Victor V. Kozlov
- 2003, 2003, 184 Seiten, Masse: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer
- ISBN-10: 3540422072
- ISBN-13: 9783540422075
- Erscheinungsdatum: 12.05.2003
Sprache:
Englisch
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