Id Photo
Clément Moreau

Postdoctoral Researcher in Applied Mathematics

KyotoU    RIMS    JSPS

Welcome to my webpage!

Since April 2022, I am a JSPS Fellow at the RIMS in Kyoto University, hosted by Dr. Kenta Ishimoto. From 2020 to 2022, I also worked there as a JSPS Fellow, then as a visiting researcher.

My research revolves broadly around control theory and optimisation, mathematical modelling, fluid dynamics and microscopic swimming. Please find more details below, and contact me if you would like to chat!

A short bio:
I have obtained my PhD in June 2020. It took place both at Inria Sophia-Antipolis and Université Paris Dauphine-PSL, under the supervision of Laetitia Giraldi, Pierre Lissy and Jean-Baptiste Pomet.
During year 2016-2017, I was invited at University of York by Dr Hermes Gadêlha, who is now Senior Lecturer at University of Bristol (UK).
I am a former student at Ecole Normale Supérieure de Cachan (France).

For more details, here is my CV.

Research Interests

My research deals with mathematical control theory and optimization, and various applications to physics and biology, especially within the micro-swimming field -- the motion of micro-organisms and micro-robots in a fluid.

Controllability

STLC   Staircase method   Controllability

I am interested in local controllability conditions for nonlinear control-affine systems in finite dimension, which usually involves to look at underlying Lie algebra structures. For both finite and infinite dimensional systems, I also take interest in the subject of state-constrained controllability. In particular, I have investigated nonnegative state controllability of linear and semilinear coupled parabolic systems.

Micro-swimming and control

3-link swimmer   Wall-controlled swimmer   Odd elastic swimmer

I study the motion of swimming micro-organisms through modelling, controllability analysis and numerical simulations. I use the tools of control theory on various models to better understand, predict or influence related phenomena. In particular, I have worked on models of magnetically controlled elastic robots, and on control of particles with external fluid interactions.

Modelling and optimisation for fluid dynamics

Resistance problem   Optimal shapes   Yawing swimmers

In am broadly interested in fluid mechanics at low Reynolds number and fluid-structure interactions. I use various mathematical tools -- shape optimisation, multiscale analysis, etc. to investigate questions related to fluid dynamics, mostly at Stokes regime, with applications to micro-swimming, biofluids and robotics.

PhD

Controllability in finite and infinite dimension and applications to life-inspired nonlinear systems
Supervised by:

  • Laetitia Giraldi, Chargée de recherche (junior researcher) at Inria Sophia
  • Pierre Lissy, Maître de Conférences (assistant professor) at Université Paris-Dauphine
  • Jean-Baptiste Pomet, Directeur de recherche (senior researcher) at Inria Sophia
I defended on June 17th, 2020. The manuscript is available here.

Publications

Preprints

  • C. Moreau, K. Ishimoto, Y. Privat, Shapes optimising grand resistance tensor entries for a rigid body in a Stokes flow, submitted.
    arXiv
  • L. Giraldi, P. Lissy, C. Moreau and J.-B. Pomet, Necessary conditions for local controllability of a particular class of systems with two scalar controls, under revision.
    hal

2022

  • B. J. Walker, K. Ishimoto, C. Moreau, E. A. Gaffney, M. P. Dalwadi, Emergent rheotaxis of shape-changing swimmers in Poiseuille flow, Journal of Fluid Mechanics 944, R2.
    DOI
  • K. Ishimoto, C. Moreau, K. Yasuda, Self-organized swimming with odd elasticity, Physical Review E 105, no. 064603.
    DOI
  • B. J. Walker, K. Ishimoto, E. A. Gaffney, C. Moreau, The control of particles in the Stokes limit, Journal of Fluid Mechanics 942, A1.
    DOI
  • E. A. Gaffney, M. P. Dalwadi, C. Moreau, K. Ishimoto, B. J. Walker, Canonical orbits for planar microswimmers in shear flow, Physical Review Fluids 7, no. L022101.
    arxiv
  • B. J. Walker, K. Ishimoto, E. A. Gaffney, C. Moreau, M. P. Dalwadi, The effects of rapid yawing on simple swimmer models and planar Jeffery orbits, Physical Review Fluids 7, no. 023101.
    arxiv

2021

  • C. Moreau, K. Ishimoto, Driving a microswimmer with wall-induced flow, Micromachines 12, no. 9:1025, 2021.
    DOI.
  • C. Moreau, K. Ishimoto, E. A. Gaffney, B. J. Walker, Control and controllability of microswimmers by a shearing flow, Royal Society Open Science, 8:211141, 2021.
    DOI
  • P. Lissy, C. Moreau, State-constrained controllability of linear reaction-diffusion systems, ESAIM:COCV 27, pp. 70-91, 2021.
    DOI

2018-2020

  • C. Moreau, Local controllability of a magnetized Purcell's swimmer, IEEE Control Systems Letters 3, pp. 637-642, 2019.
    DOI hal
  • C. Moreau, L. Giraldi, H. Gadêlha, The asymptotic coarse-graining formulation of slender-rods, bio-filaments and flagella. J. R. Soc. Interface 15: 20180235, 2018.
    DOI arxiv
  • L. Giraldi, P. Lissy, C. Moreau and J.-B. Pomet, Addendum to ''Local Controllability of the Two-Link Magneto-Elastic Micro-Swimmer'', IEEE Transactions on Automatic Control 63, 2303-2305, 2018.
    DOI arxiv

Communications

Upcoming

Past

2022

2021

2020

2019

  • 11-13/12/2019, Local controllability of a magnetized Purcell's swimmer, 58th Conference on Decision and Control (CDC), Nice, France
  • 8-12/07/2019, Necessary Condition for Local Controllability, 2019 Equadiff Conference, Leiden, Netherlands
  • 20-24/05/2019, Une condition nécessaire de contrôlabilité locale pour une classe particulière de systèmes à deux contrôles, Colloque Inter'Actions, Bordeaux, France
  • 13-17/05/2019, Une condition nécessaire de contrôlabilité locale pour une classe particulière de systèmes à deux contrôles, Congrès SMAI, Guidel, France

2018

2017

  • 13-14/11/2017, Controllability of a Magneto-Elastic Micro-Swimmer, PGMO Days 2017, EDF Lab Paris-Saclay, France

Teaching

I did some teaching while I was a PhD student between 2017 and 2020.

2019-2020

  • TD "Analyse 3" at Université Paris-Dauphine (2nd-year Mathematics and Economics uncergrad). Teacher: Jacques Féjoz
  • Mini-course: "An easy-to-use fluid-structure simulator for active/passive rods/filaments" for graduate students of the Department of Engineering Mathematics at University of Bristol

2018-2019

  • TD "Statistiques" at ISEM Nice (1st-year Economics undergrad).
  • TD "Statistiques descriptives" at Université de Nice-Sophia Antipolis (2nd-year Mathematics and Computer Science undergrad). Teacher: Roland Masson

2017-2018

  • TD "Mathématiques 2" at ISEM Nice (1st-year Economics undergrad). Teacher: Claire Chavaudret

Miscellaneous

I was representing the PhD students at the CEREMADE lab council from November 2019 to September 2020. I was also part of the CEREMADE's "Comité parité" from March 2019 to September 2020.

Since October 2018, I am a writer for the press review section of the Images des Mathématiques website.

I participated to the JSPS Science Dialogue program by giving a lecture in English to Japanese high school students in Nagoya on February 9th, 2021.

In March 2018, I was invited to talk about my research in four minutes in the show "La Méthode Scientifique" on the France Culture radio channel. The podcast is available here.

Contact

Email

cmoreau /at/ kurims /dot/ kyoto-u.ac.jp

Address

Office n° 202 - Maskawa Building
RIMS - Research Institute for Mathematical Sciences
Kyoto University
Kyoto 606-8502, Japan