Geodesic
A stokesian submarine
Aline Lefebvre-Lepot1 ; Benoît Merlet2
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
ESAIM. Proceedings, Tome 28 (2009), pp. 150-161.

Voir la notice de l'article provenant de la source EDP Sciences

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 
@article{EP_2009_28_a9,
     author = {Aline Lefebvre-Lepot and Beno{\^\i}t Merlet},
     title = {A stokesian submarine},
     journal = {ESAIM. Proceedings},
     pages = {150--161},
     publisher = {mathdoc},
     volume = {28},
     year = {2009},
     doi = {10.1051/proc/2009044},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/2009044/}
}
TY  - JOUR
AU  - Aline Lefebvre-Lepot
AU  - Benoît Merlet
TI  - A stokesian submarine
JO  - ESAIM. Proceedings
PY  - 2009
SP  - 150
EP  - 161
VL  - 28
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/2009044/
DO  - 10.1051/proc/2009044
LA  - en
ID  - EP_2009_28_a9
ER  - 
%0 Journal Article
%A Aline Lefebvre-Lepot
%A Benoît Merlet
%T A stokesian submarine
%J ESAIM. Proceedings
%D 2009
%P 150-161
%V 28
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/2009044/
%R 10.1051/proc/2009044
%G en
%F EP_2009_28_a9
Aline Lefebvre-Lepot; Benoît Merlet. A stokesian submarine. ESAIM. Proceedings, Tome 28 (2009), pp. 150-161. doi : 10.1051/proc/2009044. http://geodesic.mathdoc.fr/articles/10.1051/proc/2009044/

Cité par Sources :