Nonlinear Dispersive Equations III. The compact domain case: from number theory to wave turbulence

Series
PDE Working Seminar
Time
Thursday, October 16, 2014 - 3:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Zaher Hani – GeorgiaTech – zhani6@math.gatech.edu – http://people.math.gatech.edu/~zhani6/
Organizer
Zaher Hani
In this third and last talk on the topic, we will discuss some issues related to existence and long-time behavior of nonlinear dispersive equations on compact domains (or in the presence of a confinement). There, we will try to convey some elegant interactions of this class of PDE with other fields of mathematics like analytic number theory and dynamical systems. Time permitting, we will discuss how such tools can be used to better understand some questions on wave turbulence.