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Craig, Walter

Hamiltonian Dynamical Systems and Applications

Hamiltonian Dynamical Systems and Applications

223,20€

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ISBN: 9781402069642
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Table of contents

1. Some aspects of finite-dimensional Hamiltonian dynamics
D. V. Treschev

2. Four lectures on the N-body problem
Alain Chenciner

3. Averaging method and adiabatic invariants
Anatoly Neishtadt

4. Transformation theory of Hamiltonian PDE and the problem of water waves
Walter Craig

5. Three theorems on perturbed KdV
Sergei B. Kuksin

6. Groups and topology in the Euler hydrodynamics and KdV
Boris Khesin

7. Infinite dimensional dynamical systems and the Navier–Stokes equation
C. Eugene Wayne

8. Hamiltonian systems and optimal control
Andrei Agrachev

9. KAM theory with applications to Hamiltonian partial differential equations
Xiaoping Yuan

10. Four lectures on KAM for the non-linear Schrödinger equation
L. H. Eliasson, Sergei B. Kuksin

11. A Birkhoff normal form theorem for some semilinear PDEs
D. Bambusi

12. Normal form of holomorphic dynamical systems
Laurent Stolovitch

13. Geometric approaches to the problem of instability in Hamiltonian systems. An informal presentation
Amadeu Delshams, Marian Gidea, Rafael Llave, Tere M. Seara

14. Variational methods for the problem of Arnold diffusion
Chong-Qing Cheng

15. The calculus of variations and the forced pendulum
Paul H. Rabinowitz

16. Variational methods for Hamiltonian PDEs
Massimiliano Berti

17. Spectral gaps of potentials in weighted Sobolev spaces
Jürgen Pöschel

18. On the well-posedness of the periodic KdV equation in high regularity classes
Thomas Kappeler, Jürgen Pöschel

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Keywords: MATHEMATICS / General MAT000000

Author(s)
Publisher
Springer
Publication year
2008
Language
en
Edition
1
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9781402069642

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