On stability of Leray's stationary solutions of the Navier-Stokes system in exterior domains

摘要

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 L~p-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.