Computing optimal Strokes for Low Reynolds Number Swimmers

  • Antonio Desimone
  • Luca Heltai
  • FranÇois Alouges
  • Aline Lefebvre-Lepot
Conference paper
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 155)


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.

Key words

Biopropulsion in water and in air low-Reynolds-number motions control theory and feedback locomotion motility maps 


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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • Antonio Desimone
    • 1
  • Luca Heltai
    • 1
  • FranÇois Alouges
    • 2
  • Aline Lefebvre-Lepot
    • 2
  1. 1.SISSATriesteItaly
  2. 2.CMAP UMR 7641, École Polytechnique CNRSPalaiseau CedexFrance

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