Temporal and spatial decays for the Navier–Stokes equations
- 1 June 2005
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 135 (3) , 461-478
- https://doi.org/10.1017/s0308210500003966
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;.Keywords
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