Lecturer: Lv Kening

Abstract:We consider the incompressible 2D Navier-Stokes equations with periodic boundary conditions driven by a deterministic time periodic forcing and a degenerate stochastic forcing. We show that the system possesses a unique ergodic periodic invariant measure which is exponentially mixing under a Wasserstein metric. We also prove the weak law of large numbers for the continuous time inhomogeneous solution process. In addition, we obtain the weak law of large numbers and central limit theorem by restricting the inhomogeneous solution process to periodic times.

Introduction to the Lecturer:Lu Kening, currently a professor of Brigham Young University, is engaged in the research of infinite dimensional dynamical system.

Invitee:Hu Xijun, Professor from School of Mathematics

Time:9:00-10:00, October 11 (Monday)

Venue:Tencent Meeting ID: 194 515 933

Hosted by the School of Mathematics, Shandong University