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Boundedness for large |x| of suitable weak solutions of the Navier-Stokes equations with prescribed velocity at infinity

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Abstract

We consider time-dependent perturbationsu of R. Finn's stationary PR-solution of the Navier-Stokes equations, which converges to a constant vectorv ∞ as |x|→∞. For a given time interval [δ,T], we find a radiusK such thatu is essentially bounded on [δ,T]×{|x|≥K}.

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  1. Mathematisches Institut, Universität Bayreuth, Postfach 101251, W-8580, Bayreuth, Fed. Rep. Germany

    Hans-Christoph Grunau

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  1. Hans-Christoph Grunau
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Communicated by J. Fröhlich

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Grunau, HC. Boundedness for large |x| of suitable weak solutions of the Navier-Stokes equations with prescribed velocity at infinity. Commun.Math. Phys. 151, 577–587 (1993). https://doi.org/10.1007/BF02097028

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  • DOI: https://doi.org/10.1007/BF02097028

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