Rough wall effect on micro-swimmers
Identifieur interne : 000004 ( Main/Exploration ); précédent : 000003; suivant : 000005Rough wall effect on micro-swimmers
Auteurs : David Gérard-Varet [France] ; Laetitia Giraldi [France]Source :
- ESAIM: Control, Optimisation and Calculus of Variations [ 1292-8119 ] ; 2015-06-08.
Abstract
We study the effect of a rough wall on the controllability of micro-swimmers made of several balls linked by thin jacks: the so-called 3-sphere and 4-sphere swimmers. Our work completes the previous work [F. Alouges and L. Giraldi, Acta Applicandae Mathematicae 128 (2013) 153–179] dedicated to the effect of a flat wall. We show that a controllable swimmer (the 4-sphere swimmer) is not impacted by the roughness. On the contrary, we show that the roughness changes the dynamics of the 3-sphere swimmer, so that it can reach any direction almost everywhere.
Url:
DOI: 10.1051/cocv/2014046
Affiliations:
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<front><div type="abstract" xml:lang="en">We study the effect of a rough wall on the controllability of micro-swimmers made of several balls linked by thin jacks: the so-called 3-sphere and 4-sphere swimmers. Our work completes the previous work [F. Alouges and L. Giraldi, Acta Applicandae Mathematicae 128 (2013) 153–179] dedicated to the effect of a flat wall. We show that a controllable swimmer (the 4-sphere swimmer) is not impacted by the roughness. On the contrary, we show that the roughness changes the dynamics of the 3-sphere swimmer, so that it can reach any direction almost everywhere.</div>
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