Temporal and spatial decays for the Navier–Stokes equations

Hyeong-Ohk Bae; Bum Ja Jin

doi:10.1017/S0308210505000247

Abstract

We obtain spatial and temporal decay rates of weak solutions of the Navier–Stokes equations, and for strong solutions. For the spatial decay rate of the weak solutions, the power of the weight given by He and Xin in 2001 does not exceed 3/2;. However, we show the power can be extended up to 5/2;.

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Temporal and spatial decays for the Navier–Stokes equations

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