On a mapping property of the Oseen operator with rotation

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1315-1322
Number of pages8
JournalDiscrete and Continuous Dynamical Systems - Series S
Volume6
Issue number5
DOIs
Publication statusPublished - 2013 Oct
Externally publishedYes

Keywords

  • Asymptotic structure
  • Navier-Stokes
  • Oseen
  • Rotation

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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