Abstract
We show that a strong solution u of the Navier–Stokes initial-boundary value problem on the time interval (0,T) (where 0<T≤∞) is stable in the L3-norm, provided u∈L2(0,T;W2,2(Ω))∩L∞(0,T;Wσ1,2(Ω)). The problem is considered with the so called Navier-type boundary conditions.
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