2017 Volume 69 Issue 1 Pages 373-396
This paper studies the stability of a stationary solution of the Navier–Stokes system in 3-D exterior domains. The stationary solution is called a Leray's stationary solution if the Dirichlet integral is finite. We apply an energy inequality and maximal Lp-in-time regularity for Hilbert space-valued functions to derive the decay rate with respect to time of energy solutions to a perturbed Navier–Stokes system governing a Leray's stationary solution.
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