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Applied Mathematics Colloquium: Dr. Yongjin Lu

Virginia State University

Location

Mathematics/Psychology : 104

Date & Time

April 26, 2019, 2:00 pm3:00 pm

Description

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

Speaker: Yongjin LuDepartment 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.