Parking 3-sphere swimmer I. energy minimizing strokes

DOI10.3934/dcdsb.2018085zbMath1395.76121arXiv1610.04767OpenAlexW2963474424WikidataQ128233405 ScholiaQ128233405MaRDI QIDQ1671117

Giovanni Di Fratta, François Alouges

Publication date: 6 September 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.04767

zbMATH Keywords

optimal controlpropulsion efficiencybiological and artificial micro-swimmersmovement and locomotionlow-Reynolds number (creeping) flowoptimal gait

Mathematics Subject Classification ID

Controllability (93B05) Biomechanics (92C10) Existence theories for optimal control problems involving partial differential equations (49J20) Biopropulsion in water and in air (76Z10)

Related Items (1)

Optimal strokes for the 4-sphere swimmer at low Reynolds number in the regime of small deformations

Cites Work

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• On self-propulsion of micro-machines at low Reynolds number: Purcells three-link swimmer
• Analysis of the swimming of microscopic organisms
• On the squirming motion of nearly spherical deformable bodies through liquids at very small reynolds numbers

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