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. |
|