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

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  • Koba Hajime
    Graduate School of Engineering Science, Osaka University

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Abstract

<p>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.</p>

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