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ISBN: 1402069626

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Détails sur le livre
Hamiltonian Dynamical Systems and Applications

This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations.

Informations détaillées sur le livre - Hamiltonian Dynamical Systems and Applications


EAN (ISBN-13): 9781402069628
ISBN (ISBN-10): 1402069626
Version reliée
Livre de poche
Date de parution: 2008
Editeur: Springer Netherlands
441 Pages
Poids: 0,931 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2008-03-17T23:53:35+01:00 (Zurich)
Page de détail modifiée en dernier sur 2023-07-19T01:15:31+02:00 (Zurich)
ISBN/EAN: 1402069626

ISBN - Autres types d'écriture:
1-4020-6962-6, 978-1-4020-6962-8
Autres types d'écriture et termes associés:
Auteur du livre: craig, walter
Titre du livre: hamilton, nato, dynamical systems, naturwissenschaft geographie


Données de l'éditeur

Auteur: Walter Craig
Titre: NATO Science for Peace and Security Series B: Physics and Biophysics; Hamiltonian Dynamical Systems and Applications
Editeur: Springer; Springer Netherland
441 Pages
Date de parution: 2008-02-04
Dordrecht; NL
Imprimé / Fabriqué en
Langue: Anglais
213,99 € (DE)
219,99 € (AT)
236,00 CHF (CH)
POD
XV, 441 p.

BB; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; Biophysics; NATO; Physics; Potential; Science; Security; Sobolev space; Sub-Series B; analysis; partial differential equations; ordinary differential equations; Differential Equations; Dynamical Systems; Mathematical Methods in Physics; Classical Mechanics; Kybernetik und Systemtheorie; Mathematische Physik; Klassische Mechanik; BC

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.
Lecture notes on current state-of-the-art by the researchers who have developed the theory Introductions of the technically deep methods of Hamiltonian mechanics to partial differential equations Contains lectures on the most recent advances in KAM theory for partial differential equations Contains a discursive but complete description of the two main programs of study of Arnold diffusion, the first such in the literature Gives an introduction to the theory of Hamiltonian PDE, arguably one of the most dynamic fields of PDE today, that is accessible to graduate students and mathematical researchers outside of the discipline

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