Geodesic
A stokesian submarine
Aline Lefebvre-Lepot1 ; Benoît Merlet2
1CMAP (Centre de Mathématiques Appliquées) Ecole Polytechnique, route de Saclay 91128 Palaiseau Cedex, France, aline.lefebvre@polytechnique.edu
2Université Paris Nord - Institut Galilée LAGA (Laboratoire d'Analyse, Géométrie et Applications) Avenue J.B. Clément 93430 Villetaneuse, France, merlet@math.univ-paris13.fr
ESAIM. Proceedings, Tome 28 (2009), pp. 150-161
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We consider the problem of swimming at low Reynolds numbers. This is the relevant asymptotic for micro- and nano-robots needing to navigate in an aqueous medium. As a model, we propose a robot composed of three balls. The relative positions of these balls can change according to three degrees of freedom. We prove that this robot is able to navigate in a plane by modifying the conformation of its shape.
DOI : 10.1051/proc/2009044

Aline Lefebvre-Lepot  1   ; Benoît Merlet  2

1 CMAP (Centre de Mathématiques Appliquées) Ecole Polytechnique, route de Saclay 91128 Palaiseau Cedex, France, aline.lefebvre@polytechnique.edu
2 Université Paris Nord - Institut Galilée LAGA (Laboratoire d'Analyse, Géométrie et Applications) Avenue J.B. Clément 93430 Villetaneuse, France, merlet@math.univ-paris13.fr 
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     author = {Aline Lefebvre-Lepot and Beno{\^\i}t Merlet},
     title = {A stokesian submarine},
     journal = {ESAIM. Proceedings},
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     year = {2009},
     volume = {28},
     doi = {10.1051/proc/2009044},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/2009044/}
}
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Aline Lefebvre-Lepot; Benoît Merlet. A stokesian submarine. ESAIM. Proceedings, Tome 28 (2009), pp. 150-161. doi: 10.1051/proc/2009044

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