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On the asymptotic behaviour of theL 2-norm of suitable weak solutions to the Navier-Stokes equations in three-dimensional exterior domains

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Abstract

We proveL 2-decay rates of suitable weak solutions to the Navier-Stokes equations in exterior domains. The results for the order of decay are the same as for the solutions to the Cauchy problem of the Navier-Stokes equations. Finally in the case ofω=R 3 the decay rate order is sharp in the class of solutions considered by us.

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  1. Departimento di Mat. ed Applicazioni “R. Caccioppoli,”, Via Mezzocannone 8, I-80134, Napoli, Italy

    Paolo Maremonti

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  1. Paolo Maremonti
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Communicated by C. H. Taubes

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Maremonti, P. On the asymptotic behaviour of theL 2-norm of suitable weak solutions to the Navier-Stokes equations in three-dimensional exterior domains. Commun.Math. Phys. 118, 385–400 (1988). https://doi.org/10.1007/BF01466723

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  • DOI: https://doi.org/10.1007/BF01466723

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