Diff. Geom, Math. Phys., PDE Seminar: Yannick Sire
- Date: 03/15/2016
- Time: 15:30
Lecturer(s):
Yannick Sire, Johns Hopkins University
Location:
University of British Columbia
Topic:
KAM theory for whiskered tori in Hamiltonian PDEs with applications to ill-posed ones
Description:
We develop a KAM theory for tori with hyperbolic directions for PDEs coming mainly from fluid dynamics. One of the features of these PDEs is that they are strongly ill-posed. However, our method allows to construct specific quasi-periodic solutions. The format of the KAM theorem is a posteriori in a sense I will make precise and this allows to use several perturbative expansions to compute approximate solutions.
Other Information:
Location: ESB 2012