Hamiltonian Dynamical Systems and Applications
Physical laws are for the most part expressed in terms of differential equations, and natural classes of these are in the form of conservation laws or of problems of the calculus of variations for an action functional. These problems can generally be posed as Hamiltonian systems, whether dynamical s...
Guardat en:
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| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Dordrecht :
Springer Netherlands
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2008. |
| Col·lecció: | NATO Science for Peace and Security Series B: Physics and Biophysics
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| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 449 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Variante du titre: | Proceedings of the NATO Advanced Study Institute on Hamiltonian Dynamical Systems and Applications, Montreal, Canada, 18-29 June 2007 |
| Edition sous un autre format: | • Hamiltonian dynamical systems and applications, [proceedings of the NATO Advanced Study Institute on Hamiltonian Dynamical Systems and Applications, Montreal, Canada, 18-29 June 2007], edited by Walter Craig,..., Dordrecht, Springer, 2008, 1 vol. (xv- 441 p.), NATO science for peace and security series, 978-1-4020-6962-8 |
Taula de continguts:
- Some aspects of finite-dimensional Hamiltonian dynamics Four lectures on the N-body problem Averaging method and adiabatic invariants Transformation theory of Hamiltonian PDE and the problem of water waves Three theorems on perturbed KdV Groups and topology in the Euler hydrodynamics and KdV Infinite dimensional dynamical systems and the Navier Stokes equation Hamiltonian systems and optimal control KAM theory with applications to Hamiltonian partial differential equations Four lectures on KAM for the non-linear Schrödinger equation A Birkhoff normal form theorem for some semilinear PDEs Normal form of holomorphic dynamical systems Geometric approaches to the problem of instability in Hamiltonian systems. An informal presentation Variational methods for the problem of Arnold diffusion The calculus of variations and the forced pendulum Variational methods for Hamiltonian PDEs Spectral gaps of potentials in weighted Sobolev spaces On the well-posedness of the periodic KdV equation in high regularity classes