Seminar: Gibbs dynamics for weakly dispersive nonlinear Schrodinger equation

Seminar| Institute of Mathematical Sciences

Speaker: Yuzhao Wang，University of Birmingham

Abstract: Bourgain-Bulut developed a new strategy for constructing weak global solutions for dispersive equations in low regularity regimes. However, it is not clear if the solutions constructed via their argument satisfy the flow property, which is crucial in applying the Poincare recurrence principle and answering Zakharov's question. In this talk, we use the weakly dispersive nonlinear Schrodinger equation as an example to showcase how the recently developed argument by Deng-Nahmod-Yue can help us recover the flow property.