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Natural Locomotion in Fluids and on Surfaces pp 177–184Cite as

Computing optimal Strokes for Low Reynolds Number Swimmers

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Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 155))

Abstract

We discuss connections between low-Reynolds-number swimming and geometric control theory, and present a general algorithm for the numerical computation of energetically optimal strokes. As an illustration of our approach, we show computed motility maps and optimal strokes for two model swimmers.

AMS(MOS) subject classifications. 76Zxx, 76Z10, 74F10

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References

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Author information

Authors and Affiliations

  1. SISSA, Via Bonomea 265, 34136, Trieste, Italy

    Antonio Desimone & Luca Heltai

  2. CMAP UMR 7641, École Polytechnique CNRS, 91128, Palaiseau Cedex, France

    FranÇois Alouges & Aline Lefebvre-Lepot

Authors
  1. Antonio Desimone
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  2. Luca Heltai
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  3. FranÇois Alouges
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  4. Aline Lefebvre-Lepot
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Corresponding author

Correspondence to Antonio Desimone .

Editor information

Editors and Affiliations

  1. Courant Institute of Math Sciences, New York University, Mercer Street 251, New York City, 10012, New York, USA

    Stephen Childress

  2. Massachusetts Institute of Technology, Massachusetts Avenue 77, Cambridge, 02139, Massachusetts, USA

    Anette Hosoi

  3. , Department of Mechanical Engineering, The University of Michigan, Auto Lab 2027, Ann Arbor, 48109, Michigan, USA

    William W. Schultz

  4. , Mechanical and Aerospace Engineering, Cornell University, Ithaca, 14850, New York, USA

    Jane Wang

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© 2012 Springer Science+Business Media New York

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Desimone, A., Heltai, L., Alouges, F., Lefebvre-Lepot, A. (2012). Computing optimal Strokes for Low Reynolds Number Swimmers. In: Childress, S., Hosoi, A., Schultz, W., Wang, J. (eds) Natural Locomotion in Fluids and on Surfaces. The IMA Volumes in Mathematics and its Applications, vol 155. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3997-4_13

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