Events for 03/29/2022 from all calendars
Nonlinear Partial Differential Equations
Time: 3:00PM - 4:00PM
Location: Zoom
Speaker: Benjamin Harrop-Griffiths, UCLA
Title: The derivative NLS on the line
Abstract: The derivative nonlinear Schrödinger equation arises as an effective equation for the dynamics of Alfvén waves in plasmas. While this model has been analyzed in depth since the 1970s, the last two years have seen a significant amount of progress on the behavior of solutions in Sobolev spaces. In this talk we discuss some of these recent results and present a proof of well-posedness for all initial data on the line with finite mass. This is joint work with Rowan Killip, Maria Ntekoume, and Monica Vişan.