Zu Chongzhi Center Mathematics Research Seminar

Date and Time (China standard time): Wednesday, November 2, 8:00-9:00pm

Zoom ID: 939 4467 9785

Passcode: dkumath

Title: Non-uniqueness in law of the two-dimensional surface quasi-geostrophic equations forced by random noise

Speaker: Kazuo Yamazaki

Bio: Kazuo Yamazaki got his PhD from Oklahoma State University, he is currently Assistant Professor at Texas Tech University. His research interests are analysis on PDEs from fluid mechanics, mathematical biology, and physics using tools from harmonic and stochastic analysis.

Abstract: Via probabilistic convex integration, we prove non-uniqueness in law of the two-dimensional surface quasi-geostrophic equations forced by random noise of additive type. In its proof we work on the equation of the momentum rather than the temperature, which is new in the study of the stochastic surface quasi-geostrophic equations. We also generalize the classical Calderon commutator estimate to the case of fractional Laplacians.