Diff. Geom, Math. Phys., PDE Seminar: Yannick Sire

  • Date: 03/15/2016
  • Time: 15:30
Yannick Sire, Johns Hopkins University

University of British Columbia


KAM theory for whiskered tori in Hamiltonian PDEs with applications to ill-posed ones


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.   

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Location: ESB 2012