International Journal of Control, Vol.88, No.3, 531-542, 2015
Boundary stabilisation of the Navier-Stokes Equation with Fading Memory
In this paper, it is studied the stabilisability problem of the Navier-Stokes system with memory, by boundary Dirichlet feedback controllers. Based on the spectral properties of the Oseen-Stokes operator, it is designed a stabilising finite-dimensional feedback controller that acts oblique on the boundary.
Keywords:Oseen-Stokes operator;Dafermos method;feedback control;Navier-Stokes equation with memory;viscoelastic fluids;eigenvalue