On a mapping property of the Oseen operator with rotation

Mads Kyed*

*この研究の対応する著者

研究成果査読

8 被引用数 (Scopus)

抄録

The Oseen problem arises as the linearization of a steady-state Navier-Stokes flow past a translating body. If the body, in addition to the translational motion, is also rotating, the corresponding linearization of the equations of motion, written in a frame attached to the body, yields the Oseen system with extra terms in the momentum equation due to the rotation. In this paper, the effect these rotation terms have on the asymptotic structure at spatial infinity of a solution to the system is studied. A mapping property of the whole space Oseen operator with rotation is identified from which asymptotic properties of a solution can be derived. As an application, an asymptotic expansion of a steady-state, linearized Navier-Stokes flow past a rotating and translating body is established.

本文言語English
ページ(範囲)1315-1322
ページ数8
ジャーナルDiscrete and Continuous Dynamical Systems - Series S
6
5
DOI
出版ステータスPublished - 2013 10
外部発表はい

ASJC Scopus subject areas

  • 分析
  • 離散数学と組合せ数学
  • 応用数学

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