Lower bound of L2 decay of the Navier-Stokes flow in the half-space R+n and its asymptotic behavior in the frequency space

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:401

Article

Okabe, Takahiro

关键词: Stokes flow;    Navier-Stokes flow;    Temporal decay;    Lower bound;    Optimal decay;    Energy concentration;   

DOI  :  10.1016/j.jmaa.2012.12.033

来源: Elsevier

【 摘 要 】

We consider the asymptotic behavior of weak solutions of the Navier-Stokes equations in the half-space R-+(n). We obtain the lower bound of the energy decay of the Navier-Stokes flow, by means of the profile of the initial data. Indeed, we construct a class of the initial data which causes the slow decay of the Navier-Stokes flow, with an explicit rate. Furthermore, we investigate the asymptotic behavior of concentration in the frequency space. (C) 2012 Elsevier Inc. All rights reserved.

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