Joint BCAM-UPV/EHU Analysis and PDE seminar: Large Deviation Principle for the Cubic NLS Equation
Fecha: Jue, Mar 31 2022
Hora: 12:00
Ubicación: Online
Ponentes: Ricardo Grande
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
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More info at https://sites.google.com/view/apdebilbao/home
Organizadores:
University of Michigan - Ann Arbor
Ponentes confirmados:
Ricardo Grande
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