François Alouges
YOU?
Author Swipe
View article: Magnetoelastic actuated motion of fine ferromagnetic particles
Magnetoelastic actuated motion of fine ferromagnetic particles Open
Wireless magnetic actuation offers precise control over microscopic devices, yet full planar manipulation of rigid, tethered magnetic particles remains challenging. We introduce a minimal variational model: a permanently magnetized planar …
View article: Some mathematical models for flagellar activation mechanisms
Some mathematical models for flagellar activation mechanisms Open
This paper focuses on studying a model for dyneins, cytoskeletal motor proteins responsible for axonemal activity. The model is a coupled system of partial differential equations inspired by [F. Jülicher and J. Prost, Cooperative molecular…
View article: Beating of eukaryotic flagella via Hopf bifurcation of a system of stalled molecular motors
Beating of eukaryotic flagella via Hopf bifurcation of a system of stalled molecular motors Open
The modeling of the beating of cilia and flagella in fluids is a particularly active field of study, given the biological relevance of these organelles. Various mathematical models have been proposed to represent the nonlinear dynamics of …
View article: Quasi-local and frequency-robust preconditioners for the Helmholtz first-kind integral equations on the disk
Quasi-local and frequency-robust preconditioners for the Helmholtz first-kind integral equations on the disk Open
We propose preconditioners for the Helmholtz scattering problems by a planar, disk-shaped screen in ℝ 3 . Those preconditioners are approximations of the square-roots of some partial differential operators acting on the screen. Their matri…
View article: Optimal strokes for the 4-sphere swimmer at low Reynolds number in the regime of small deformations
Optimal strokes for the 4-sphere swimmer at low Reynolds number in the regime of small deformations Open
The paper deals with the optimal control problem that arises when one studies the 4 sphere artificial swimmer at low Reynolds number. Composed of four spheres at the end of extensible arms, the swimmer is known to be able to swim in all di…
View article: Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field
Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field Open
We use the Landau-de Gennes energy to describe a particle immersed into nematic liquid crystals with a constant applied magnetic field. We derive a limit energy in a regime where both line and point defects are present, showing quantitativ…
View article: Shapes enhancing the propulsion of multiflagellated helical microswimmers
Shapes enhancing the propulsion of multiflagellated helical microswimmers Open
In this paper we are interested in optimizing the shape of multi-flagellated helical microswimmers. Mimicking the propagation of helical waves along the flagella, they self-propel by rotating their tails. The swimmer's dynamics is computed…
View article: Polynomial approximations in a generalized Nyman-Beurling criterion
Polynomial approximations in a generalized Nyman-Beurling criterion Open
The Nyman-Beurling criterion, equivalent to the Riemann hypothesis (RH), is an approximation problem in the space of square integrable functions on $(0,\infty)$, involving dilations of the fractional part function by factors $θ_k\in(0,1)$,…
View article: The saturn ring effect in nematic liquid crystals with external field: effective energy and hysteresis
The saturn ring effect in nematic liquid crystals with external field: effective energy and hysteresis Open
In this work we consider the Landau-de Gennes model for liquid crystals with an external electromagnetic field to model the occurrence of the saturn ring effect under the assumption of rotational equivariance. After a rescaling of the ener…
View article: New preconditioners for Laplace and Helmholtz integral equations on open\n curves: Analytical framework and Numerical results
New preconditioners for Laplace and Helmholtz integral equations on open\n curves: Analytical framework and Numerical results Open
The Helmholtz wave scattering problem by screens in 2D can be recast into\nfirst-kind integral equations which lead to ill-conditioned linear systems\nafter discretization. We introduce two new preconditioners, in the form of\nsquare-roots…
View article: HRTF and panning evaluations for binaural audio guidance
HRTF and panning evaluations for binaural audio guidance Open
International audience
View article: New preconditioners for Laplace and Helmholtz integral equations on open curves: I. Theoretical framework and numerical results
New preconditioners for Laplace and Helmholtz integral equations on open curves: I. Theoretical framework and numerical results Open
The numerical resolution of wave scattering problems by open curves leads to ill-conditioned linear systems which are difficult to precondition due to the geometrical singularities at the edges. We introduce two new preconditioners to tack…
View article: FEM and BEM simulations with the Gypsilab framework
FEM and BEM simulations with the Gypsilab framework Open
Gypsilab is a Matlab framework which aims at simplifying the development of numerical methods that apply to the solution of problems in multiphysics, in particular, those involving FEM or BEM simulations. The peculiarities of the framework…
View article: Peristaltic Waves as Optimal Gaits in Metameric Bio-Inspired Robots
Peristaltic Waves as Optimal Gaits in Metameric Bio-Inspired Robots Open
Peristalsis, i.e., a motion pattern arising from the propagation of muscle contraction and expansion waves along the body, is a common locomotion strategy for limbless animals. Mimicking peristalsis in bio-inspired robots has attracted con…
View article: The Sparse Cardinal Sine Decomposition (SCSD) and its application to the simulation of suspensions
The Sparse Cardinal Sine Decomposition (SCSD) and its application to the simulation of suspensions Open
International audience
View article: FEM-BEM Coupling for Electromagnetism with the Sparse Cardinal Sine Decomposition,
FEM-BEM Coupling for Electromagnetism with the Sparse Cardinal Sine Decomposition, Open
This paper presents a FEM-BEM coupling method suitable for the numerical simulation of the electromagnetic scattering of objects composed of dielectric materials and perfect electric conduc- tors. The originality of the approach lies in pa…
View article: Binaural spatialization methods for indoor navigation
Binaural spatialization methods for indoor navigation Open
International audience
View article: Cell Averaging Two-Scale Convergence: Applications to Periodic Homogenization
Cell Averaging Two-Scale Convergence: Applications to Periodic Homogenization Open
The aim of the paper is to introduce an alternative notion of two-scale convergence which gives a more natural modeling approach to the homogenization of partial differential equations with periodically oscillating coefficients: while remo…
View article: Application of the Sparse Cardinal Sine Decomposition to 3D Stokes Flows
Application of the Sparse Cardinal Sine Decomposition to 3D Stokes Flows Open
International audience
View article: Cell averaging two-scale convergence: Applications to periodic homogenization
Cell averaging two-scale convergence: Applications to periodic homogenization Open
The aim of the paper is to introduce an alternative notion of two-scale convergence which gives a more natural modeling approach to the homogenization of partial differential equations with periodically oscillating coefficients: while remo…
View article: The Sparse Cardinal Sine Decomposition applied to Stokes integral equations
The Sparse Cardinal Sine Decomposition applied to Stokes integral equations Open
International audience