Seminar| Institute of Mathematical Sciences
Time: Wednesday, April 8th, 2026,10:30-11:30
Location: IMS, RS408
Speaker: Yuzhao Wang, Dalian University of Technology & University of Birmingham
Abstract: We consider the two–dimensional defocusing nonlinear Schrödinger equation on the unit disc with random initial data distributed according to the Gibbs measure. Under a radial symmetry assumption, we introduce a random resonance operator framework that allows us to construct strong local-in-time solutions at the regularity of the Gibbs measure. Combining this with Bourgain’s invariant measure argument, we prove almost sure global well-posedness and invariance of the Gibbs measure for the resulting flow. This completes the program initiated by Tzvetkov on constructing invariant Gibbs dynamics for NLS on the disc.