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Clément Moreau

Postdoctoral Researcher in Applied Mathematics

Since October 2021, I am a Visiting Researcher at RIMS in Kyoto University, invited by Dr. Kenta Ishimoto. From 2020 to 2021, I also worked there as a JSPS postdoctoral fellow.

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).

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.


I am interested in local controllability conditions for nonlinear control-affine systems in finite dimension. For both finite and infinite dimensional systems, I also take interest in the subject of state-constrained controllability. In particular, I am investigating nonnegative state controllability of linear and semilinear coupled parabolic systems.

Micro-swimming and control

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.

Hydrodyamics and modelisation

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 cellular and robotic motion in a fluid.


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.



  • B. J. Walker, K. Ishimoto, C. Moreau, E. A. Gaffney, Emergent rheotaxis of shape-changing swimmers in Poiseuille 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.


  • K. Ishimoto, C. Moreau, K. Yasuda, Self-organized swimming with odd elasticity, accepted for publication in Physical Review E.
  • B. J. Walker, K. Ishimoto, E. A. Gaffney, C. Moreau, The control of particles in the Stokes limit, accepted for publication in Journal of Fluid Mechanics.
  • 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.
  • 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.


  • C. Moreau, K. Ishimoto, Driving a microswimmer with wall-induced flow, Micromachines 12, no. 9:1025, 2021.
  • 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.
  • P. Lissy, C. Moreau, State-constrained controllability of linear reaction-diffusion systems, ESAIM:COCV 27, pp. 70-91, 2021.


  • 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



  • 31/03/2022, Odd viscoelasticity Workshop, Dutch Institute for Emergent Phenomena, Amsterdam, Netherlands
  • 06-09/06/2022, ECCOMAS Congress 2022, Oslo, Norway.
  • 13-17/06/2022, CANUM, Evian-les-Bains, France
  • 11-14/07/2022, Wordl Congress of Biology (online participation)



  • 22/03/2022, RIMS Fluid Dynamics Group seminar, Kyoto University
  • 03/02/2022, RIMS Fluid Dynamics Group seminar, Kyoto University, Japan
  • 28-29/01/2022, Active Matter Workshop 2022, Meiji University, Tokyo, Japan




  • 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



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



  • 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


  • 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


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


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.



cmoreau /at/ kurims /dot/


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