We formulate and solve the equations governing the dynamics of a microscopic artificial
swimmer composed of a head and of a tail made of a thin film of permanent magnetic …

We review some recent learning approaches in variational imaging based on bilevel
optimization and emphasize the importance of their treatment in function space. The paper …

We discuss a reduced model to compute the motion of slender swimmers which propel
themselves by propagating a bending wave along their body. Our approach is based on the …

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 …

In this paper we focus on the N-link swimmer [1], a generalization of the classical 3-link
Purcell swimmer [18]. We use the Resistive Force Theory to express the equation of motion …

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 …

In this paper, we establish a result of Lagrangian controllability for a fluid at low Reynolds
number, driven by the stationary Stokes equation. This amounts to the possibility of …