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Asymptotic profile of steady Stokes flow around a rotating obstacle

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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.

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Authors and Affiliations

  1. FB Mathematik, Technische Universität Darmstadt, 64289, Darmstadt, Germany

    Reinhard Farwig

  2. Graduate School of Mathematics, Nagoya University, 464-8602, Nagoya, Japan

    Toshiaki Hishida

Authors
  1. Reinhard Farwig
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  2. Toshiaki Hishida
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Correspondence to Reinhard Farwig.

Additional information

Dedicated to our colleague Jiří Neustupa on the occasion of his 60th birthday.

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Farwig, R., Hishida, T. Asymptotic profile of steady Stokes flow around a rotating obstacle. manuscripta math. 136, 315–338 (2011). https://doi.org/10.1007/s00229-011-0479-0

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  • DOI: https://doi.org/10.1007/s00229-011-0479-0

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