Optimal Strokes : a Geometric and Numerical Study of the Copepod Swimmer
Abstract
The objective of this article is to make a geometric and numerical analysis concerning the optimal displacements of a larval copepod swimming at low Reynolds number. A simplified model of locomotion is analyzed in the framework of Sub-Riemannian geometry. In particular, the role of both normal and abnormal geodesics is related to observed geometric motions in relation with the mechanical power dissipated by the swimmer.
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