The APDE seminar on Monday, 11/06, will be given by Mihaela Ifrim (UW Madison) in-person in Evans 736, and will also be broadcasted online via Zoom from 4:10pm to 5:00pm PST. To participate, please email Federico Pasqualotto (email@example.com) or Mengxuan Yang (firstname.lastname@example.org).
Title: The small data global well-posedness conjecture for 1D defocusing dispersive flows
Abstract: I will present a very recent conjecture which broadly asserts that small data should yield global solutions for 1D defocusing dispersive flows with cubic nonlinearities, in both semilinear and quasilinear settings. This conjecture was recently proved in several settings in joint work with Daniel Tataru.