Clément Moreau

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PhD position available!

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Masters project available!

Detailed offer

Research Interests

My research deals with mathematical control theory and optimization, and various applications in the fields of robophysics and biofluid mechanics, especially micro-swimming -- the motion of micro-organisms and micro-robots in a fluid.

Controllability, systems control

I am interested in control of nonlinear systems. In particular, I have worked on 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 state-constrained controllability and sliding mode control.

Micro-swimming and control theory

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.

Bio-inspired robotic locomotion of slender bodies

I develop models and numerical simulations to study the motion and dynamics of slender, flexible continuous structures in complex media (fluids, non-Newtonian fluids, granular media). One of my goals is to cast this class of complex dynamics as (infinite-dimensional) control systems.

Modelling and optimisation for fluid dynamics

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

Publications

Preprints

• C. Moreau, K. Ishimoto, Y. Privat, Shapes optimising grand resistance tensor entries for a rigid body in a Stokes flow, submitted.
  arXiv
• K. Ishimoto, C. Moreau, J. Herault, Robust undulatory locomotion via neuromechanical adjustments in a dissipative medium, submitted.
  arXiv

2024

• C. Moreau, B. J. Walker, R. N. Poon, D. Soto, D. I. Goldman, E. A. Gaffney, K. Y. Wan, Minimal design of a synthetic cilium, accepted in Physical Review Research.
• M. P. Dalwadi, C. Moreau, E. A. Gaffney, B. Walker, K. Ishimoto, Generalised Jeffery's equations for rapidly spinning particles. Part II: Helicoidal objects with chirality, Journal of Fluid Mechanics 979, no. A2.
  
  DOI arXiv
• M. P. Dalwadi, C. Moreau, E. A. Gaffney, K. Ishimoto, B. Walker, Generalised Jeffery's equations for rapidly spinning particles. Part I: Spheroids, Journal of Fluid Mechanics 979, no. A1.
  DOI arXiv
• L. Giraldi, P. Lissy, C. Moreau, J.-B. Pomet, A necessary condition for local controllability of systems with two scalar controls, ESAIM:COCV 30, no. 4.
  DOI hal

2023

• K. Ishimoto, C. Moreau, K. Yasuda, Odd elastohydrodynamics: non-reciprocal living material in a viscous fluid, Physical Review X Life 1, no.2, Oct 2023.
  DOI
• C. Moreau, Controllability and optimal control of microswimmers: theory and applications, Journal of the Physical Society of Japan 92, no 121005, Oct 2023.
  DOI

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

PhD

My PhD thesis, entitled, Controllability in finite and infinite dimension and applications to life-inspired nonlinear systems , is available here. I was supervised by: Laetitia Giraldi, Pierre Lissy, and Jean-Baptiste Pomet.

Communications

Upcoming

• March 16-21, APS Global Summit, Anaheim, USA

Past

2024

• Oct 22-23, Workshop on bio- and bio-inspired locomotion of slender bodies across scales and fields, Nantes, France
• Oct 3-4, ReV Workshop, Le Croisic, France
• Sep 27, Computational Soft Matter Seminar, The University of Amsterdam, Amsterdam, Netherlands
• Sep 18-19, Workshop "Control, modelling and optimisation for physics", Nice, France
• Aug 25-31, ICTAM Congress, Daegu, South Korea
• Jun 25-28, Journées Math Bio Santé, Nantes, France
• May 27-31, Congrès d'Analyse Numérique, Le Bois-Plage-en-Ré, France
• May 17-18, IUTAM Symposium on Soft Robotics, Tokyo, Japan
• May 13, RIMS Fluid Dynamics Seminar, Kyoto University, Kyoto, Japan
• Apr 9-11, British Applied Math Colloquium, Newcastle, UK
• Feb 07, Snake locomotion workshop, MNHN, Paris, France
• Jan 31, Biological Filaments Workshop, University of Exeter, Exeter, UK
• Jan 25, ReV (Bio-inspired robotics) team seminar, LS2N, Nantes, France

2023

• Nov 20, Shape seminar, Tohoku University, Sendai, Japan
• Nov 08, Takeuchi Lab seminar, The University of Tokyo, Tokyo, Japan
• Nov 06, Seminar of the Department of Physics, Kyushu University, Fukuoka, Japan
• Oct 10, Seirin Group seminar, ASHBi, Kyoto University, Japan
• Aug 20-25, Internatinal Congress of Industrial and Applied Mathematics (ICIAM 2023), Tokyo, Japan (organiser of two minisymposia: Optimal control: methods and applications and Low-Reynolds number swimming: modelling, analysis and applications)
• Jul 03-07, Jacques-Louis Lions French-Spanish Summer School, Nice, France(poster presentation)
• Jun 26-30, Euromech Colloquium, Nice, France
• Jun 20-23, Workshop de l'ANR COSSEROOTS, La Londe-les-Maures, France
• May 11, Kobayashi Group seminar, The University of Tokyo, Tokyo
• Jan 13, Workshop "New Perspectives on Active Matter", Warwick University
• Jan 12, Physics Theory Group Seminar, Warwick University

2022

• Nov 22, Seminar of the Department of Mathematics, Politecnico di Torino
• Nov 17, Seminar of the CODEX team, LS2N, Nantes
• Nov 01, Seirin Group seminar, ASHBi, Kyoto University, Japan
• Sep 8-10, JSIAM annual meeting 2022, Hokkaido University, Sapporo
• Jul 11-14, World Congress of Biomechanics, Taipei, Taiwan (online participation)
• Jun 23, Groupe de travail Contrôle de l'IECL, Nancy
• Jun 13-17, CANUM, Evian-les-Bains, France
• Jun 06-09, ECCOMAS Congress 2022, Oslo, Norway
• Mar 31, Odd viscoelasticity Workshop, Dutch Institute for Emergent Phenomena, Amsterdam, Netherlands
• Mar 22, RIMS Fluid Dynamics Group seminar, Kyoto University
• Feb 03, RIMS Fluid Dynamics Group seminar, Kyoto University, Japan
• Jan 28-29, Active Matter Workshop 2022, Meiji University, Tokyo, Japan

2021

• Dec 21, Applied Maths Seminar, Kyoto University
• Dec 03, Séminaire du CRAN, Nancy (online)
• Nov 27, RIMS Fluid Dynamics Group seminar, Kyoto University
• Sep 07, Séminaire Equations aux Dérivées Partielles de l'IRMA, Strasbourg
• Jun 21-24, Biofluids Symposium, Kyoto University
• Mar 02, Séminaire Analyse, Phénomènes Stochastiques et Applications du LMBA (online)
• Feb 22, Seminar of the Yamamoto Group (Theoretical Modeling of Soft Matter and Living Systems), Transport Phenomena Lab., Department of Chemical Engineering, Kyoto University
• Feb 16, Séminaire de l'équipe Analyse Appliquée de l'I2M (online)
• Jan 22-23, Active Matter Workshop 2021 (online)

2020

• Dec 3-4, State-constrained controllability of linear reaction-diffusion systems, Congrès d'Analyse Numérique (CAN-J) 2020 (online)
• Jul 12-17, Local controllability of magnetized Purcell's swimmers, 21st IFAC World Congress (online)
• May 21, Controllability in finite and infinite dimension of life-inspired nonlinear systems, GTT du LJLL, Paris, France
• Feb 3-5, Local controllability of magnetized Purcell's swimmers (poster presentation), Research Workshop of the Israel Science Foundation on Micro-Swimmers and Soft Robotics, Haifa, Israel

2019

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

2018

• Dec 6-8, Necessary Condition for Local Controllability, 13th International Young Researchers Workshop on Geometry, Mechanics and Control, Coimbra, Portugal
• May 28 - June 01, Hydrodynamics of elastic micro-filaments: model comparison and applications (poster presentation), Congrès National d'Analyse Numérique (CANUM), Cap d'Agde, France
• Apr 12, Contrôlabilité d'un micro-nageur magnétique à deux segments, Journée des thèses de l'équipe EDPAN, LJAD, Nice, France
• Jan 22-24, Controllability of a Magneto-Elastic Micro-Swimmer, 12th International Young Researchers Workshop on Geometry, Mechanics and Control, Padova, Italy

2017

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

2022-2025

• Invited lecturer (4h) on "Mathematical approaches to micro-swimming" for the Mathematics module of the Cell Physics Master "Analyse 3" at Université de Strasbourg.

Below is the teaching I did while I was a PhD student.

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