Out-of-equilibrium dynamics for the nonlinear Schroedinger equation: From energy cascades to weak turbulence
- Series
- Job Candidate Talk
- Time
- Thursday, December 5, 2013 - 11:05 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Zaher Hani – Courant Institute, New York University
Out-of-equilibrium dynamics are a characteristic feature of the
long-time behavior of nonlinear dispersive equations on bounded domains.
This is partly due to the fact that dispersion does not translate into
decay in this setting (in contrast to the case of unbounded domains like
$R^d$). In this talk, we will take the cubic nonlinear Schroedinger
equation as our model, and discuss some aspects of its
out-of-equilibrium dynamics, from energy cascades (i.e. migration of
energy from low to high frequencies) to weak turbulence.