The process of swimming at the microscopic scale is successfully described as a finite-
dimensional, nonholonomic control system due to negligible inertia in the low-Reynolds …

A recent promising technique for robotic micro-swimmers is to endow them with a
magnetization and apply an external magnetic field to provoke their deformation. In this …

Swimming consists by definition in propelling through a fluid by means of bodily movements.
Thus, from a mathematical point of view, swimming turns into a control problem for which the …

This paper focuses on the mechanism of propulsion of a Purcell swimmer whose segments
are magnetized and react to an external magnetic field applied into the fluid. By an …

There are numerous ways to control objects in the Stokes regime, with microscale examples
ranging from the use of optical tweezers to the application of external magnetic fields. In …

We address the swimming problem at low Reynolds number. This regime, which is typically
used for micro-swimmers, is described by Stokes equations. We couple a PDE solver of …

Controlling artificial devices that mimic the motion of real microorganisms, is attracting
increasing interest, both from the mathematical point of view and applications. A model for a …

This thesis is devoted to modelling and simulating swimmers at low Reynolds number. Two
computational frameworks are devised for these purposes, and they are used in synergy …

We consider a class of low Reynolds number swimmers, of prolate spheroidal shape, which
can be seen as simplified models of ciliated microorganisms. Within this model, the form of …

We study the locomotion of a ciliated microorganism in a viscous incompressible fluid. We
use the Blake ciliated model: the swimmer is a rigid body with tangential displacements at its …