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Weighted spatial decay rates for the Navier–Stokes flows in a half-space

Published online by Cambridge University Press:  16 May 2014

Pigong Han
Pigong Han*
Affiliation:
Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People's Republic of China, ([email protected])
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Abstract

The weighted Lq − Lr-estimates for the Stokes flow are given in half-spaces. Furthermore, the weighted decays for the first and second spatial derivatives of the Navier-Stokes flows are also established, where the unboundedness of the projection operator is overcome by employing a decomposition for the convection term. The main results in this paper are inspired by the works of Bae and Jin.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 3 , June 2014 , pp. 491 - 510
Copyright
Copyright © Royal Society of Edinburgh 2014 

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