Events for 04/19/2022 from all calendars

Nonlinear Partial Differential Equations

Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Kihyun Kim, IHES

Title: On long-term dynamics for the equivariant self-dual Chern-Simons-Schrödinger equation

Abstract: In this talk, I will discuss some recent developments on the long-term dynamics for the self-dual Chern-Simons-Schrödinger equation (CSS) within equivariant symmetry. CSS is a gauge-covariant 2D cubic nonlinear Schrödinger equation. I will first discuss a strong rigidity of the dynamics (soliton resolution) for this model, which is a consequence of the self-duality and non-local nonlinearity that are very specific features of CSS. Next, I will discuss the blow-up dynamics and introduce an interesting instability mechanism (rotational instability) of some finite-time blow-up solutions.

Committee P&T Meeting

Time: 4:00PM - 5:00PM

Location: BLOC 117