Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Asymptotic profile of a linearized Navier-Stokes flow past a rotating body

Author: Mads Kyed
Journal: Quart. Appl. Math. 71 (2013), 489-500
MSC (2010): Primary 35Q30, 76D05, 35B40, 35C20
DOI: https://doi.org/10.1090/S0033-569X-2013-01288-7
Published electronically: May 17, 2013
MathSciNet review: 3112824
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Abstract: Consider a rigid body in a three-dimensional Navier-Stokes liquid moving with a nonzero velocity and rotating with a nonzero angular velocity that are both constant when referred to a frame attached to the body. Linearizing the associated steady-state equations of motion, we obtain the exterior domain Oseen equations in a rotating frame of reference. We analyze the structure of weak solutions to these equations and identify the leading term in the asymptotic expansion of the corresponding velocity field.

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Additional Information

Mads Kyed
Affiliation: Fachbereich Mathematik, TU Darmstadt, Schlossgartenstrasse 7, 64289 Darmstadt, Germany
Email: kyed@mathematik.tu-darmstadt.de

DOI: https://doi.org/10.1090/S0033-569X-2013-01288-7
Received by editor(s): August 15, 2011
Published electronically: May 17, 2013
Additional Notes: Supported by the DFG and JSPS as a member of the International Research Training Group Darmstadt-Tokyo IRTG 1529.
Article copyright: © Copyright 2013 Brown University
The copyright for this article reverts to public domain 28 years after publication.

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