Note on the Liouville type problem for the stationary Navier-Stokes equations in R3

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:268

Article

Chae, Dongho^1,2 

[1] Chung Ang Univ, Dept Math, Dongjak Gu Heukseok Ro 84, Seoul 06974, South Korea

[2] Korea Inst Adv Study, Sch Math, Dongdaemun Gu Hoegi Ro 85, Seoul 02455, South Korea

关键词: Steady Navier-Stokes equations;    Head pressure;    Liouville type theorem;   

DOI  :  10.1016/j.jde.2019.08.027

来源: Elsevier

【 摘 要 】

In this brief note we are concerned on the Liouville type problem for the stationary Navier-Stokes equations in R-3. We deduce an formula for an integral involving the head pressure, Q = 1/2 vertical bar nu vertical bar(2) + p. and its derivative over domains enclosed by level surfaces of Q. This formula provides us with new sufficient condition for the triviality of solution to the Navier-Stokes equations. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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