Manuscripta Mathematica

, 136:315

Asymptotic profile of steady Stokes flow around a rotating obstacle

Article

DOI: 10.1007/s00229-011-0479-0

Cite this article as:
Farwig, R. & Hishida, T. manuscripta math. (2011) 136: 315. doi:10.1007/s00229-011-0479-0

Abstract

We analyze the spatial anisotropic profile at infinity of steady Stokes flow around a rotating obstacle. It is shown that the flow is largely concentrated along the axis of rotation in the leading term and that a rotating profile can be found in the second term. The proof relies upon a detailed analysis of the associated fundamental solution tensor.

Mathematics Subject Classification (2000)

35Q30 35Q35 35B40 76D07 
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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.FB MathematikTechnische Universität DarmstadtDarmstadtGermany
  2. 2.Graduate School of MathematicsNagoya UniversityNagoyaJapan

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