Diff. Geom, Math. Phys., PDE Seminar: Yannick Sire
Topic
KAM theory for whiskered tori in Hamiltonian PDEs with applications to ill-posed ones
Speakers
Details
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.
Additional Information
Location: ESB 2012
Yannick Sire, Johns Hopkins University
Yannick Sire, Johns Hopkins University