Asymptotic stability of non-Newtonian flows with large perturbation in R2

Consider asymptotic stability of weak solutions for the incompressible non-Newtonian fluid motion in whole spaces R2. We shall show that although the initial data disturbance from u are large, every perturbed flow v with the energy inequality converges asymptotically to u as ∥v(t) − u(t)∥ → 0, as t → ∞.