Résumé
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 the general theory of vortices 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 of differential equations.
Contents
- Hydrodynamics, Geometric Optics, and Classical Mechanics
- General Vortex Theory
- Geodesics on Lie Groups with a Left-Invariant Metric
- 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
Index
L'auteur - V.V. Koslov
Moscow State University, Moscow, Russia
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | V.V. Koslov |
| Parution | 21/05/2003 |
| Nb. de pages | 192 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 400g |
| Intérieur | Noir et Blanc |
| EAN13 | 9783540422075 |
Avantages Eyrolles.com
Consultez aussi
- Les meilleures ventes en Graphisme & Photo
- Les meilleures ventes en Informatique
- Les meilleures ventes en Construction
- Les meilleures ventes en Entreprise & Droit
- Les meilleures ventes en Sciences
- Les meilleures ventes en Littérature
- Les meilleures ventes en Arts & Loisirs
- Les meilleures ventes en Vie pratique
- Les meilleures ventes en Voyage et Tourisme
- Les meilleures ventes en BD et Jeunesse
