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Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity

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Abstract

We consider weak (“Leray”) solutions to the stationary Navier–Stokes system with Oseen and rotational terms, in an exterior domain. It is shown the velocity may be split into a constant times the first column of the fundamental solution of the Oseen system, plus a remainder term decaying pointwise near infinity at a rate which is higher than the decay rate of the Oseen tensor. This result improves the theory by Kyed (Q Appl Math 71:489–500, 2013).

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Authors and Affiliations

  1. Laboratoire de mathématiques pures et appliquées Joseph Liouville, Université du Littoral Côte d’Opale, 62228, Calais, France

    Paul Deuring

  2. Department of Technical Mathematics, Czech Technical University, Karlovo nám. 13, 121 35, Prague 2, Czech Republic

    Stanislav Kračmar

  3. Mathematical Institute of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67, Praha 1, Czech Republic

    Šárka Nečasová

Authors
  1. Paul Deuring
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  2. Stanislav Kračmar
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  3. Šárka Nečasová
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Correspondence to Paul Deuring.

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Deuring, P., Kračmar, S. & Nečasová, Š. Asymptotic structure of viscous incompressible flow around a rotating body, with nonvanishing flow field at infinity. Z. Angew. Math. Phys. 68, 16 (2017). https://doi.org/10.1007/s00033-016-0760-x

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  • DOI: https://doi.org/10.1007/s00033-016-0760-x

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