Seminar In the Analysis and Methods of PDE (SIAM PDE): Monica Visan

Title: Determinants, Commuting Flows, and Recent Progress on Completely Integrable Systems
Date: October 7, 2021, 11:30 am ET
Speaker: Monica Visan, University of California, Los Angeles

Abstract: We will survey a number of recent developments in the theory of completely integrable nonlinear dispersive PDE. These include a priori bounds, the orbital stability of multisolitons, well-posedness at optimal regularity, and the existence of dynamics for Gibbs distributed initial data. I will describe the basic objects that tie together these disparate results, as well as the diverse ideas required for each problem.