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Temporal and spatial decay rates of Navier-Stokes solutions in exterior domains

배형옥|진범자
대한수학회 (The Korean Mathematical Society)|2007.08|대한수학회보 (Bulletin of the KMS)|제44권 제3호|pp. 547-567

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Abstract

We obtain spatial-temporal decay rates of weak solutions ofincompressible ows in exterior domains. When a domain has a boundary,the pressure term yields diculties since we do not have enough infor-mation on the pressure term near the boundary. For our calculations weprovide an idea which does not require any pressure information. Wealso estimated the spatial and temporal asymptotic behavior for strongsolutions.

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