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On Time-Periodic Flow of a Viscous Liquid past a Moving Cylinder

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Abstract

We show existence, uniqueness and spatial asymptotic behavior of a two-dimensional time-periodic flow around a cylinder that moves orthogonal to its axis, with a time-periodic velocity, v. The result is proved if the size of the data is sufficiently small, and the average of v over a period is not zero.

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Authors and Affiliations

  1. Department of Mechanical Engineering and Materials Science, University of Pittsburgh, Pittsburgh, PA, 15261, USA

    Giovanni P. Galdi

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  1. Giovanni P. Galdi
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Correspondence to Giovanni P. Galdi.

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Communicated by V. Šverák

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Galdi, G.P. On Time-Periodic Flow of a Viscous Liquid past a Moving Cylinder. Arch Rational Mech Anal 210, 451–498 (2013). https://doi.org/10.1007/s00205-013-0652-6

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  • DOI: https://doi.org/10.1007/s00205-013-0652-6

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