Clément Moreau

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

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

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

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

Publications

Preprints

• C. Moreau, K. Ishimoto, Y. Privat, Shapes optimising grand resistance tensor entries for a rigid body in a Stokes flow, submitted.
  arXiv

2023

• 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, to appear in Journal of Fluid Mechanics.
  arXiv
• M. P. Dalwadi, C. Moreau, E. A. Gaffney, K. Ishimoto, B. Walker, Generalised Jeffery's equations for rapidly spinning particles. Part I: Spheroids, to appear in Journal of Fluid Mechanics.
  arXiv
• L. Giraldi, P. Lissy, C. Moreau, J.-B. Pomet, A necessary condition for local controllability of systems with two scalar controls, to appear in ESAIM:COCV.
  hal
• 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

Communications

Upcoming

Past

2023

• 20/11/2023, Shape seminar, Tohoku University, Sendai, Japan
• 08/11/2023, Takeuchi Lab seminar, The University of Tokyo, Tokyo, Japan
• 06/11/2023, Seminar of the Department of Physics, Kyushu University, Fukuoka, Japan
• 10/10/2023, Seirin Group seminar, ASHBi, Kyoto University, Japan
• 20-25/08/2023, Internatinal Congress of Industrial and Applied Mathematics (ICIAM 2023), Tokyo, Japan (organiser of two minisymposia)
  • Optimal control: methods and applications
  • Low-Reynolds number swimming: modelling, analysis and applications
• 03-07/07/2023, Jacques-Louis Lions French-Spanish Summer School, Nice, France(poster presentation)
• 26-30/06/2023, Euromech Colloquium, Nice, France
• 20-23/06/2023, Workshop de l'ANR COSSEROOTS, La Londe-les-Maures, France
• 11/05/2023, Kobayashi Group seminar, The University of Tokyo, Tokyo
• 13/01/2023, Workshop "New Perspectives on Active Matter", Warwick University
• 12/01/2023, Physics Theory Group Seminar, Warwick University

2022

• 22/11/2022, Seminar of the Department of Mathematics, Politecnico di Torino
• 17/11/2022, Seminar of the CODEX team, LS2N, Nantes
• 01/11/2022, Seirin Group seminar, ASHBi, Kyoto University, Japan
• 8-10/09/2022, Seminar of the Department of Mathematics, Politecnico di Torino
• 8-10/09/2022, JSIAM annual meeting 2022, Hokkaido University, Sapporo
• 11-14/07/2022, World Congress of Biomechanics, Taipei, Taiwan (online participation)
• 23/06/2022, Groupe de travail Contrôle de l'IECL, Nancy
• 13-17/06/2022, CANUM, Evian-les-Bains, France
• 06-09/06/2022, ECCOMAS Congress 2022, Oslo, Norway
• 31/03/2022, Odd viscoelasticity Workshop, Dutch Institute for Emergent Phenomena, Amsterdam, Netherlands
• 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

2021

• 21/12/2021, Applied Maths Seminar, Kyoto University
• 03/12/2021, Séminaire du CRAN, Nancy (online)
• 27/11/2021, RIMS Fluid Dynamics Group seminar, Kyoto University
• 07/09/2021, Séminaire Equations aux Dérivées Partielles de l'IRMA, Strasbourg
• 21-24/06/2021, Biofluids Symposium, Kyoto University
• 02/03/2021, Séminaire Analyse, Phénomènes Stochastiques et Applications du LMBA (online)
• 22/02/2021, Seminar of the Yamamoto Group (Theoretical Modeling of Soft Matter and Living Systems), Transport Phenomena Lab., Department of Chemical Engineering, Kyoto University
• 16/02/2021, Séminaire de l'équipe Analyse Appliquée de l'I2M (online)
• 22-23/01/2021, Active Matter Workshop 2021 (online)

2020

• 3-4/12/2020, State-constrained controllability of linear reaction-diffusion systems, Congrès d'Analyse Numérique (CAN-J) 2020 (online)
• 12-17/07/2020, Local controllability of magnetized Purcell's swimmers, 21st IFAC World Congress (online)
• 21/05/2020, Controllability in finite and infinite dimension of life-inspired nonlinear systems, GTT du LJLL, Paris, France
• 3-5/02/2020, 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

• 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

• 06-08/12/2018, Necessary Condition for Local Controllability, 13th International Young Researchers Workshop on Geometry, Mechanics and Control, Coimbra, Portugal
• 28/05-01/06/2018, Hydrodynamics of elastic micro-filaments: model comparison and applications (poster presentation), Congrès National d'Analyse Numérique (CANUM), Cap d'Agde, France
• 12/04/2018, Contrôlabilité d'un micro-nageur magnétique à deux segments, Journée des thèses de l'équipe EDPAN, LJAD, Nice, France
• 22-24/01/2018, Controllability of a Magneto-Elastic Micro-Swimmer, 12th International Young Researchers Workshop on Geometry, Mechanics and Control, Padova, Italy

2017

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

2022-2023

• 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