On weighted-norm estimates for nonstationary incompressible Navier-Stokes flows in a 3D exterior domain

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:246

Article

He, Cheng¹  Miyakawa, Tetsuro² 

[1] Chinese Acad Sci, Inst Appl Math Acad Math & Syst Sci, Beijing 100080, Peoples R China

[2] Kanazawa Univ, Div Math & Phys, Kanazawa, Ishikawa 9201192, Japan

关键词: Navier-Stokes equations;    Exterior problem;    Weighted estimates;    Total net force;   

DOI  :  10.1016/j.jde.2008.09.003

来源: Elsevier

【 摘 要 】

We study the time-decay of weighted norms of weak and strong solutions to the Navier-Stokes equations in a 3D exterior domain. Moment estimates for weak solutions and weighted L(q)-estimates for strong solutions are deduced, both of which seem to be optimal. The relation is discussed between the space-time decay and the vanishing of the total net force exerted by the fluid to the body. A class of initial data is given so that the total net force associated to the corresponding fluid flows does not vanish. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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