The small data global well-posedness conjecture for 1D defocusing dispersive flows

Speaker: Mihaela Ifrim from University ‍of ‍Wisconsin ‍Madison

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.