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 R^2. 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->~.

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