Seminar Event Detail

Colloquium Series

Date:  Tuesday, November 16, 2021
Location:  1360 East Hall (4:00 PM to 5:00 PM)

Title:  Randomness in nonlinear dispersive equations

Abstract:   Randomness is ubiquitous in nature. It is exhibited in mathematics in a wide range of models and problems from different areas. From the point of view of PDEs, there are three main phenomena we are interested in: statistical description of the system, propagation of randomness, and stochastic regularization. I will talk about a series of recent works in nonlinear dispersive equations related to these three phenomena. Using the nonlinear Schrodinger equation as a model, I will discuss the dynamics of Gibbs measure (equilibrium statistical mechanics), mathematical treatment of wave turbulence (non-equilibrium statistical mechanics), and uniqueness of rough solutions. These are joint works with Zaher Hani, Andrea Nahmod, and Haitian Yue.


Speaker:  Yu Deng
Institution:  University of Southern California

Event Organizer:     


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