Joint BCAM-UPV/EHU Analysis and PDE seminar: Large Deviation Principle for the Cubic NLS Equation

LOCATION: Online

Abstract
In this talk we will explore the weakly nonlinear cubic Schrodinger equation with random initial data as a model for the formation of large waves in deep sea. First we will prove a large deviation principle for the solution of the equation, i.e. we derive the top order asymptotics for the probability of seeing a large wave at a certain time as the height of the wave grows. Then we will study a related problem: if we do see a large wave, what is the most likely initial datum that produced it? We answer this question in the weakly nonlinear regime by giving a probabilistic characterization of the set of rogue waves. This is joint work with M. Garrido, K. Kurianski and G. Staffilani.

Link to the session: 
https://us06web.zoom.us/j/99649860282?pwd=SE0vemtYMFlwbFBNTXQyO
TBONG0vZz09

More info at https://sites.google.com/view/apdebilbao/home