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On Stationary Navier–Stokes Flows Around a Rotating Obstacle in Two-Dimensions

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Abstract

We study the two-dimensional stationary Navier–Stokes equations describing the flows around a rotating obstacle. The unique existence of solutions and their asymptotic behavior at spatial infinity are established when the rotation speed of the obstacle and the given exterior force are sufficiently small.

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Authors and Affiliations

  1. Department of Mathematics, Kyoto University, Kyoto, Japan

    Mitsuo Higaki & Yasunori Maekawa

  2. Mathematical Institute, Tohoku University, Sendai, Japan

    Yuu Nakahara

Authors
  1. Mitsuo Higaki
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  2. Yasunori Maekawa
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  3. Yuu Nakahara
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Corresponding author

Correspondence to Mitsuo Higaki.

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Communicated by V. Šverák

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Higaki, M., Maekawa, Y. & Nakahara, Y. On Stationary Navier–Stokes Flows Around a Rotating Obstacle in Two-Dimensions. Arch Rational Mech Anal 228, 603–651 (2018). https://doi.org/10.1007/s00205-017-1201-5

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  • DOI: https://doi.org/10.1007/s00205-017-1201-5

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