Weighted decay properties for the incompressible Stokes flow and Navier-Stokes equations in a half space

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:253

Article

Han, Pigong

关键词: Stokes flow;    Navier-Stokes equations;    Strong solution;    Decay rate;    Solution formula;   

DOI  :  10.1016/j.jde.2012.06.007

来源: Elsevier

【 摘 要 】

Using the Stokes solution formula and L-q-L-r estimates of the Stokes operator semigroup, we establish the weighted decay properties for the Stokes flow and Navier-Stokes equations including their spatial derivatives in half spaces. In addition, the unboundedness of the projection operator P: L-infinity(R-+(n)) -> L-sigma(infinity)(R-+(n)) is overcome by employing a decomposition for the nonlinear term, and L asymptotic behavior for the second derivatives. of Navier-Stokes flows in half spaces is given. (C) 2012 Elsevier Inc. All rights reserved.

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