Abstract:
In this talk we will first survey recent developments on the study of random data problems for nonlinear dispersive PDEs. We then explain how the "correct" scaling heuristics for critical regularity of wellposedness operates in probabilistic contexts, and how this approach has enabled new discoveries about the evolution of random structures in nonlinear wave propagation. (Joint work with Yu Deng, University of Chicago and Andrea Nahmod, UMass Amherst)
Biography:
Haitian Yue is currently an Assistant Professor at the Institute of Mathematical Sciences, ShanghaiTech University (2021-present). He received his PhD in Mathematics from the University of Massachusetts Amherst (2018) under Andrea Nahmod, followed by postdoctoral research at the University of Southern California (2018-2021). His work focuses on nonlinear dispersive PDEs, particularly random initial data problems and invariant Gibbs measures. His publications appear in Annals of Mathematics, Inventiones Mathematicae, Communications in Mathematical Physics, and other leading journals.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.