## Applied Mathematics Colloquium: Dr. Yongjin Lu

#### Virginia State University

Friday, April 26, 2019 · 2 PM - 3 PM

**Title:**On the pullback dynamics of 3D Navier-Stokes equations with nonlinear viscosity

**Speaker: **Yongjin Lu, Department of Mathematics and Economics, Virginia State University

**Abstract:**We study the pullback dynamics of 3D Navier-Stokes equations with nonlinear viscosity and subject to time-dependent external force. The pullback attractor attracts solutions to a dynamical system originated far enough in the past. Using a decomposition method, we establish the existence of a finite dimensional pullback attractor. We give estimates on the upper bound of the finite fractal dimension of pullback attractor. We also investigate the upper semi-continuity of pullback attractors as the non-autonomous perturbation vanishes.