Conference on Hamiltonian PDEs: Analysis, Computations and Applications
In honour of Walter Craig on the occasion of his 60th birthday
Overview
Partial Differential Equations (PDEs) are a fundamental tool in the modeling of phenomena found in the physical, biological and social sciences, and science as a whole has advanced exponentially as our understanding of PDEs has increased over the centuries. PDEs with Hamiltonian structure are a distinguished subset of these which not only model systems with conserved quantities (e.g., energy and momentum), but also possess an array of special techniques for their analysis.
Applications of these arise in fluid mechanics, plasma physics, and nonlinear optics, and major advances are still being made regarding their rigorous analysis and numerical simulation. One unifying theme of this conference will be the interaction of specialists in dynamical systems, Kolmogorov-Arnold-Moser (KAM) and Nash-Moser theory, normal form theory, variational methods, harmonic analysis and the classical techniques of PDE theory, as well as applied and numerical analysts, and experts in ocean waves.
The field is extremely broad and has attracted a wide range of researchers. This conference will be an opportunity to bring together a group of world-class experts in the field of Hamiltonian PDEs where Walter Craig has had a great influence, to present and discuss the latest developments in this fast-moving, applications-oriented field
Schedule
09:05 to 09:45 |
Sergei Kuksin, Université Paris-Diderot |
09:45 |
D. Lannes |
11:00 to 11:45 |
K. Trivisa |
11:45 |
Vladimir E. Zakharov, University of Arizona |
14:00 to 14:45 |
P. Sternberg |
14:45 |
J.-C. Saut |
16:00 to 16:50 |
M. Berti |
16:50 |
O. Trichtchenko |
09:00 to 09:45 |
R. Brandenburger |
09:45 |
C. Bardos |
11:00 to 11:45 |
R. de la Llave |
11:45 |
N. Kamran |
14:00 to 14:45 |
Constantine Dafermos |
14:45 |
D. Nicholls |
16:00 to 16:40 |
H. Segur |
16:40 to 17:00 |
R. Martin |
17:00 |
C. Fazioli |
09:30 to 10:15 |
Justification of the nonlinear Schödinger equation for two-dimensional gravity driven water waves
G. Wayne |
10:15 |
Jerry Lloyd Bona |
11:30 to 12:15 |
B. Deconinck |
12:15 |
D. Bambusi |