Birs- 19w5076: Hamiltonian PDEs: KAM, Reducibility, Normal Forms and Applications

  1. Title:
    General introduction: "The Gross-Pitaevskii equation and quantum vortices"

    Speaker:

    Link:

  2. Title:
    Stability of chiral magnetic skyrmion solutions of 2D Landau-Lifshitz equations

    Speaker:

    Link:

  3. Title:
    Stability of chiral magnetic skyrmion solutions of 2D Landau-Lifshitz equations

    Speaker:

    Link:

  4. Title:
    Rational normal forms and stability of small solutions to nonlinear Schrödinger equations

    Speaker:

    Link:

  5. Title:
    Growth of Sobolev norms in linear time dependent Schrödinger equations

    Speaker:

    Link:

  6. Title:
    Drift of steady states in Hamiltonian PDEs: two examples

    Speaker:

    Link:

  7. Title:
    General introduction to "Quasi periodic Schroedinger operators"

    Speaker:

    Link:

  8. Title:
    General introduction to "KAM for PDEs"

    Speaker:

    Link:

  9. Title:
    Dynamics and collisions of nearly parallel vortex filaments

    Speaker:

    Link:

  10. Title:
    Solitons of the NLS equation escaping a potential.

    Speaker:

    Link:

  11. Title:
    Strong Sobolev instability of quasi-periodic solutions of the 2D cubic Schrödinger equation

    Speaker:

    Link:

  12. Title:
    Reducibility of a transport equation on $T^ d$ with unbounded perturbations

    Speaker:

    Link:

  13. Title:
    Periodic orbits in symplectic maps without the use of symmetries

    Speaker:

    Link:

  14. Title:
    Corners in Surface Superconductivity.

    Speaker:

    Link:

  15. Title:
    Approximation theorems for the Schrodinger equation and vortex reconnection in quantum fluids.

    Speaker:

    Link:

  16. Title:
    Small divisors and free vibrations in the n-vortex filament problem

    Speaker:

    Link:

  17. Title:
    Construction of unstable KAM tori for a system of coupled NLS equations.

    Speaker:

    Link:

  18. Title:
    On the breakdown of small amplitude breathers for the reversible Klein-Gordon equation

    Speaker:

    Link:

  19. Title:
    Construction of quasi-periodic response solutions for forced systems with strong damping

    Speaker:

    Link:

  20. Title:
    Almost-periodic tori for the nonlinear Schrödinger equation

    Speaker:

    Link: