BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Marta Zoppello (DISMA\, Politecnico di Torino) DTSTART:20220328T134000Z DTEND:20220328T151000Z DTSTAMP:20260405T174635Z UID:NSCM/65 DESCRIPTION:Title: N- link swimmers swimming alone or in pairs\nby Marta Zoppello (DISMA\, P olitecnico di Torino) as part of Nečas Seminar on Continuum Mechanics\n\n \nAbstract\nThis talk presents two models of swimmers immersed in a low Re ynolds number fluid\,\nboth of them involving the so-called N -link swimme r. The first one studies the 3-dimensional N-link swimmer swimming alone [ 1]\, the second focuses on two planar 2-link swimmers\nswimming together [ 2]. Both models rely on Resistive Force Theory\, which is a good approxima tion of hydrodynamic forces at low Reynolds number for slender swimmers an d allows us to cast the equations of motion as ODEs. These equations can b e seen as control systems\nwhere the controls are the velocity of deformat ion of the swimmers.\nWe prove that the 3 dimensional N -link swimmer is f ully controllable and we show the existence of optimal controls for some c ost functionals. Regarding the coupled swimmers\, even\nif\, taken singula rly\, they are non-controllable units (because of Purcell’s celebrated S callop Theorem)\, we prove that taking into account the hydrodynamic inter action they can achieve a net motion after a periodic sequence of shape ch anges. Moreover\, under suitable\napproximations\, we are able to optimize the displacement.\n\n\n[1] R. Marchello\, M\, Morandotti\, H. Shum\, M. Z oppello.\nThe N -link swimmer in three dimensions: controllability and opt imality results.\nAccepted for publication in Acta Applicandae Mathematica e (2022)\n\n\n[2] M. Zoppello\, M. Morandotti\, H. Gadˆelha.\nControlling non-controllable scallops.\nSubmitted.\n LOCATION:https://researchseminars.org/talk/NSCM/65/ END:VEVENT END:VCALENDAR