TY - JOUR
T1 - Optimal Strokes for Low Reynolds Number Swimmers: An Example
JF - J. Nonlinear Sci. 18 (2008) 277-302
Y1 - 2008
A1 - François Alouges
A1 - Antonio DeSimone
A1 - Aline Lefebvre
AB - Swimming, i.e., being able to advance in the absence of external forces by performing cyclic shape changes, is particularly demanding at low Reynolds numbers. This is the regime of interest for micro-organisms and micro- or nano-robots. We focus in this paper on a simple yet representative example: the three-sphere swimmer of Najafi and Golestanian (Phys. Rev. E, 69, 062901-062904, 2004). For this system, we show how to cast the problem of swimming in the language of control theory, prove global controllability (which implies that the three-sphere swimmer can indeed swim), and propose a numerical algorithm to compute optimal strokes (which turn out to be suitably defined sub-Riemannian geodesics).
PB - Springer
UR - http://hdl.handle.net/1963/4006
U1 - 396
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -