Optimal Control

Planar Microswimmers

When dealing with simple microswimmers, if we want to reach any point in the plane (using only first order lie brackets), we need to to have at least three shape degrees of freedom, instead of the two in the Najafi Golestanian Swimmer. The following are examples of optimal planar swimmers.

Axisymmetric Microswimmers

Swimming at low Reynolds Number requires fighting against the so called Scallop Theorem: at low Reynolds Number, reversibility makes swimming impossible when using a single degree of freedom, and we have to add at least one degree of freedom if we want to advance.In this page we present a study on the Optimal Stroke of the model swimmer by 

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