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All Colloquia & Seminars

Current Seminars

  1. Lunch with Hamilton: Construction of unstable KAM tori for a system of coupled NLS equations.

    Location: MSRI: Baker Board Room
    Speakers: Victor Vilaça Da Rocha (Basque Center for Applied Mathematics)

    The systems of coupled NLS equations occur in some physical problems, in particular in nonlinear optics (coupling between two optical waveguides, pulses or polarized components...). From the mathematical point of view, the coupling effects can lead to truly nonlinear behaviors, such as the beating effect (solutions with Fourier modes exchanging energy) of Grébert, Paturel and Thomann (2013).

    In this talk, I will use the coupling between two NLS equations on the 1D torus to construct a family of linearly unstable tori, and therefore unstable quasi-periodic solutions. The idea is to take profit of the Hamiltonian structure of the system via the construction of a Birkhoff normal form and the application of a KAM theorem. In particular, we will see of this surprising behavior (this is the first example of unstable tori for a 1D PDE) is strongly related to the existence of beating solutions. 

    This is a work in collaboration with Benoît Grébert (Université de Nantes).

    Updated on Dec 05, 2018 08:59 AM PST

Upcoming Seminars

  1. Combinatorics Seminar:

    Location: UC Berkeley Math (Evans Hall 939)
    Created on Nov 06, 2018 01:41 PM PST
  2. Combinatorics Seminar:

    Location: UC Berkeley Math (Evans Hall 939)
    Created on Nov 06, 2018 01:41 PM PST
  3. Combinatorics Seminar:

    Location: UC Berkeley Math (Evans Hall 939)
    Created on Nov 06, 2018 01:41 PM PST
  4. Combinatorics Seminar:

    Location: UC Berkeley Math (Evans Hall 939)
    Created on Nov 06, 2018 01:41 PM PST
  5. Combinatorics Seminar:

    Location: UC Berkeley Math (Evans Hall 939)
    Created on Nov 06, 2018 01:41 PM PST
  6. Combinatorics Seminar:

    Location: UC Berkeley Math (Evans Hall 939)
    Created on Nov 06, 2018 01:41 PM PST
  7. Combinatorics Seminar:

    Location: UC Berkeley Math (Evans Hall 939)
    Created on Nov 06, 2018 01:41 PM PST
  8. Combinatorics Seminar:

    Location: UC Berkeley Math (Evans Hall 939)
    Created on Nov 06, 2018 01:41 PM PST
  9. Combinatorics Seminar:

    Location: UC Berkeley Math (Evans Hall 939)
    Created on Nov 06, 2018 01:41 PM PST
  10. Combinatorics Seminar:

    Location: UC Berkeley Math (Evans Hall 939)
    Created on Nov 06, 2018 01:41 PM PST
  11. Combinatorics Seminar:

    Location: UC Berkeley Math (Evans Hall 939)
    Created on Nov 06, 2018 01:41 PM PST
  12. Combinatorics Seminar:

    Location: UC Berkeley Math (Evans Hall 939)
    Created on Nov 06, 2018 01:41 PM PST
  13. Combinatorics Seminar:

    Location: UC Berkeley Math (Evans Hall 939)
    Created on Nov 06, 2018 01:41 PM PST
  14. Combinatorics Seminar:

    Location: UC Berkeley Math (Evans Hall 939)
    Created on Nov 06, 2018 01:41 PM PST

Past Seminars

  1. Seminar Arnold Diffusion

    Created on Dec 05, 2018 03:17 PM PST
There are more then 30 past seminars. Please go to Past seminars to see all past seminars.