English

Parking 3-sphere swimmer II. The long arm asymptotic regime

Optimization and Control 2019-10-25 v1 Mathematical Physics math.MP Fluid Dynamics

Abstract

The paper carries on our previous investigations on the complementary version of Purcell's rotator: a low-Reynolds-number swimmer composed of three balls of equal radii. In the asymptotic regime of very long arms, the Stokes induced governing dynamics is derived and then experimented in the context of energy minimizing self-propulsion characterized in the first part of the paper.

Keywords

Cite

@article{arxiv.1910.10712,
  title  = {Parking 3-sphere swimmer II. The long arm asymptotic regime},
  author = {François Alouges and Giovanni Di Fratta},
  journal= {arXiv preprint arXiv:1910.10712},
  year   = {2019}
}