Event Type:

Department Colloquium

Date/Time:

Monday, February 7, 2022 - 16:00 to 17:00

Location:

on Zoom

Guest Speaker:

Institution:

University of Washington

Abstract:

In quantum mechanics, nonlinear Schrodinger equations (NLS) is a mathematical equation that describes the changes over time of a physical system in which quantum effects are significant. As NLS plays a fundamental role in the real world, understanding its long time behavior is an increasingly active topic. Here the term â€˜long time behaviorâ€™ is in fact very general including but not limited to global well-posedness (global in time existence, uniqueness and continuous dependence of data to solution map), scattering (nonlinear solution approaches a linear one asymptotically), invariant measure of the solution flow. In this talk, we will discuss the recent works on developing global theories for NLS and describe the key ideas behind these developments.

Host: