%0 Journal Article
%J J. Nonlinear Sci. 18 (2008) 277-302
%D 2008
%T Optimal Strokes for Low Reynolds Number Swimmers: An Example
%A François Alouges
%A Antonio DeSimone
%A Aline Lefebvre
%X 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).
%B J. Nonlinear Sci. 18 (2008) 277-302
%I Springer
%G en_US
%U http://hdl.handle.net/1963/4006
%1 396
%2 Mathematics
%3 Functional Analysis and Applications
%$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2010-08-26T10:49:24Z\\nNo. of bitstreams: 1\\nADL2008a.pdf: 273047 bytes, checksum: 36ba2c2914fff62c05124f1ac1453733 (MD5)
%R 10.1007/s00332-007-9013-7