Special Session 68: (In)Stability and the long time behaviour of fluid flows

Long time behavior of Navier-Stokes equations with dynamic boundary condition

Dalibor Prazak
Charles University
Czech Rep
Co-Author(s):    B. Priyasad and M. Zelina
Abstract:
There has been a recent interest in the study of fluids with unusual boundary conditions. In this talk, we will consider class of both Newtonian and non-Newtonian incompressible fluids coupled with a nonlinear dynamics on the boundary. -- We will show that global attractors exist under general conditions both in 2D and 3D setting. Moreover, in 2D, we will provide sharp estimates of the attractor dimension.