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An error bound for the slender body approximation of a thin, rigid fiber sedimenting in Stokes flow

An error bound for the slender body approximation of a thin, rigid fiber sedimenting in Stokes flow We investigate the motion of a thin rigid body in Stokes flow and the corresponding slender body approximation used to model sedimenting fibers. In particular, we derive a rigorous error bound comparing a regularized version of the rigid slender body approximation to the classical PDE for rigid motion in the case of a closed loop with constant radius. Our main tool is the slender body PDE framework established by Mori et al. (Commun Pure Appl Math, 2019. https://doi.org/10.1002/cpa.21872; Arch Ration Mech Anal 235(3):1905–1978, 2020), which we adapt to the rigid setting. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Research in the Mathematical Sciences Springer Journals

An error bound for the slender body approximation of a thin, rigid fiber sedimenting in Stokes flow

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References (26)

Publisher
Springer Journals
Copyright
Copyright © Springer Nature Switzerland AG 2020
eISSN
2197-9847
DOI
10.1007/s40687-020-00206-7
Publisher site
See Article on Publisher Site

Abstract

We investigate the motion of a thin rigid body in Stokes flow and the corresponding slender body approximation used to model sedimenting fibers. In particular, we derive a rigorous error bound comparing a regularized version of the rigid slender body approximation to the classical PDE for rigid motion in the case of a closed loop with constant radius. Our main tool is the slender body PDE framework established by Mori et al. (Commun Pure Appl Math, 2019. https://doi.org/10.1002/cpa.21872; Arch Ration Mech Anal 235(3):1905–1978, 2020), which we adapt to the rigid setting.

Journal

Research in the Mathematical SciencesSpringer Journals

Published: Mar 22, 2020

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