Can magnetic multilayers propel artificial micro-swimmers mimicking sperm cells ?, Soft Robotics, 2015. ,
DOI : 10.1089/soro.2015.0007
URL : http://arxiv.org/pdf/1702.04278
Optimally swimming stokesian robots, Discrete and Continuous Dynamical Systems-B, vol.18, pp.1189-1215, 2013. ,
Enhanced controllability of low Reynolds number swimmers in the presence of a wall, Acta Applicandae Mathematicae, vol.128, issue.1, pp.153-179, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00735919
, Effect of rugosity on a flow governed by stationary Navier-Stokes equations, vol.59, pp.769-785, 2001.
DOI : 10.1090/qam/1866556
URL : http://www.ams.org/qam/2001-59-04/S0033-569X-2001-1866556-1/S0033-569X-2001-1866556-1.pdf
Global Controllability and Bang-Bang Steering of Certain Nonlinear Systems, SIAM Journal on Control, vol.11, issue.4, pp.607-619, 1973. ,
DOI : 10.1137/0311047
Feedback Stabilization of a Fluid-Rigid body Interaction System, Advances in Differential Equations, vol.19, pp.1137-1184, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01091953
Feedback stabilization of a simplified 1d fluid-particle system, Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, vol.31, pp.369-389, 2014. ,
DOI : 10.1016/j.anihpc.2013.03.009
URL : https://hal.archives-ouvertes.fr/hal-00814009
Finite time regularity for bounded unbounded ideal incompressible fluids using Hölder estimates, Proc. of "Journées Mathématiques sur la Turbulence, 1975. ,
DOI : 10.1007/bfb0091443
Solution of the first boundary value problem for an equation of continuity of an incompressible medium, Dokl. Akad. Nauk SSSR, vol.248, issue.5, pp.1037-1040, 1979. ,
Local null controllability of a fluid-solid interaction problem in dimension 3, J. European Math Society, vol.15, issue.3, pp.825-856, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00847963
Local null controllability of a two-dimensional fluid-structure interaction problem, ESAIM Control Optim. Calc. Var, vol.14, issue.1, pp.1-42, 2008. ,
URL : https://hal.archives-ouvertes.fr/inria-00542535
On the weak uniqueness of "viscous incompressible fluid + rigid body" system with Navier slip-with-friction conditions in a 2D bounded domain ,
URL : https://hal.archives-ouvertes.fr/hal-01740859
Impulsive Control Systems, of the series The IMA Volumes in Mathematics and its Applications, vol.78, pp.1-22 ,
Methods of Geometric Analysis in Extension and Trace Problems, vol.1, 2012. ,
Controlabilité Bang Bang, controlabilité différentiable, et perturbation des systèmes non linéaires, Ann. Mat. Pura Appl, issue.4, pp.93-119, 1975. ,
On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries, J. Differ. Equ, vol.244, issue.11, pp.2890-2908, 2008. ,
Self-propelled anguilliform swimming : simultaneous solution of the two-dimentional Navier-Stokes equations and Newton's laws of motion, J. of Experimental Biology, vol.201, pp.3143-3166, 1998. ,
Generic controllability of 3d swimmers in a perfect fluid, SIAM Journal on Control and Optimization, vol.50, issue.5, pp.2814-2835, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00579986
On the global null controllability of a Navier-Stokes system with Navier slip boundary conditions, J. Differential Equations, vol.247, issue.7, pp.2094-2123, 2009. ,
Existence of solutions for the equations modelling the motion of a rigid body in a viscous fluid, Comm. Partial Diff. Eq, vol.25, issue.5, pp.1019-1042, 2000. ,
, Control and nonlinearity, vol.136, 2007.
Exact boundary controllability of the Euler equations of incompressible perfect fluids in dimension two, C. R. Acad. Sci. Paris, Serie I, vol.317, pp.271-276, 1993. ,
On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions, ESAIM Contrôle Optim. Calc. Var, vol.1, issue.96, pp.35-75, 1995. ,
On the null asymptotic stabilization of 2-D incompressible Euler equation in a simply connected domain, SIAM J. Control Optim, vol.37, issue.6, pp.1874-1896, 1999. ,
, Sur la stabilization des fluides parfaits incompressibles bidimensionnels, Séminaire : Équations aux Dérivées Partielles, 1998.
Global exact controllability of the 2D Navier-Stokes equations on a manifold without boundary, Russian J. Math. Phys, vol.4, issue.4, pp.429-448, 1996. ,
Small time global exact null controllability of the NavierStokes equation with Navier slip-with-friction boundary conditions, 2017. ,
On the controllability of the Navier-Stokes equation in spite of boundary layers. Proceeding of the RIMS conference ,
URL : https://hal.archives-ouvertes.fr/hal-01492722
Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01676663
Existence of weak solutions for the motion of rigid bodies in a viscous fluid, Arch. Ration. Mech. Anal, vol.146, pp.59-71, 1999. ,
On the ill-posedness of the Prandtl equation, J. Amer. Math. Soc, vol.23, issue.2, pp.591-609, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00372942
Local exact controllability for the 1-D compressible Navier Stokes equation, Arch. Ration. Mech. Anal, vol.206, issue.1, pp.189-238, 2012. ,
A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data, J. Math. Fluid Mech, vol.8, issue.3, pp.423-444, 2006. ,
Resolvent estimates of the Stokes system with Navier boundary conditions in general unbounded domains, Adv. Differential Equations, vol.21, issue.6, pp.401-428, 2016. ,
, Motivation, analysis and control of the variable density Navier-Stokes equations. En : Discrete and Continuous Dynamical Systems, Series S. 2012, vol.5, pp.1021-1090
Local exact controllability of the Navier-Stokes system, J. Math. Pures Appl, vol.83, issue.9, pp.1501-1542, 2004. ,
Some Controllability Results for the N-Dimensional Navier-Stokes and Boussinesq systems with N-1 scalar controls, SIAM Journal on Control and Optimization, vol.45, issue.1, pp.146-173, 2006. ,
Holomorphic approximation : the legacy of Weierstrass, 2018. ,
Continuous dependence for two-point boundary value problems, Pacific J. Math, vol.28, issue.2, pp.327-336, 1969. ,
On the steady self-propelled motion of a body in a viscous incompressible fluid, Arch. Ration. Mech. Anal, vol.148, issue.1, pp.53-88, 1999. ,
Uniform approximation, Complex Potential Theory, pp.235-271, 1993. ,
Lp-theory for strong solutions to fluid-rigid body interaction in Newtonian and generalized Newtonian fluids, Transactions of the American Mathematical Society, vol.365, issue.3, pp.1393-1439, 2013. ,
On the Equation div u = g and Bogovskii's Operator in Sobolev Spaces of Negative Order, Partial Differential Equations and Functional Analysis. Operator Theory : Advances and Applications, vol.168, 2006. ,
Existence of Weak Solutions Up to Collision for Viscous Fluid-Solid Systems with Slip, Commun. Pur. Appl. Math, vol.67, pp.2022-2076, 2014. ,
Regularity issues in the problem of fluid structure interaction, Arch. Rat. Mech. Anal, vol.19, pp.375-407, 2010. ,
The influence of boundary conditions on the contact problem in a 3d Navier-Stokes flow, Journal Math. Pures Appl, vol.103, pp.1-38, 2015. ,
Coron theorem concerning the controllability of the Euler system for 2D incompressible inviscid fluids, J. Math. Pures Appl, issue.9, pp.845-877, 2001. ,
Asymptotic stabilizability by stationary feedback of the two-dimensional Euler equation : the multiconnected case, SIAM J. Control Optim, vol.44, issue.3, pp.1105-1147, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00020222
Exact boundary controllability of the 3D Euler equation, ESAIM : Control, Optimization and Calculus of variations, 2000. ,
Some questions of control in fluid mechanics, Control of partial differential equations, pp.131-206, 2012. ,
Prescribing the motion of a set of particles in a 3D perfect fluid, SIAM J. Control Optim, vol.50, issue.5, pp.2726-2742, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00616872
Approximate Lagrangian controllability for the 2-D Euler equation. Application to the control of the shape of vortex patches, J. Math. Pures Appl, issue.9, pp.61-90, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00660790
Lagrangian controllability at low Reynolds number, ESAIM Control Optim. Calc. Var, vol.22, issue.4, pp.1040-1053, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01424530
External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01562320
On the motion of a small body immersed in a two dimensional incompressible perfect fluid, Bull. Soc. Math. France, vol.142, issue.2, pp.1-48, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00589499
On the motion of a small light body immersed in a two dimensional incompressible perfect fluid with vorticity, Communications in Math. Physics, vol.341, issue.3, pp.1015-1065, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01076950
Dynamics of a point vortex as limits of a shrinking solid in an irrotational fluid ,
On the control of the motion of a boat, Math. Mod. Meth. Appl. Sci, vol.23, issue.4, pp.617-670, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00580724
, Low regularity solutions for the two-dimensional "rigid body + incompressible Euler" system, Differential and Integral Equations, vol.27, pp.625-642, 2014.
The movement of a solid in an incompressible perfect fluid as a geodesic flow, Proc. Amer. Math. Soc, vol.140, pp.2155-2168, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00564114
Uniqueness results for weak solutions of two-dimensional fluid-solid systems, Archive for Rational Mechanics and Analysis, vol.218, pp.907-944, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-00678687
Smoothness of the motion of a rigid body immersed in an incompressible perfect fluid, Ann. Sci. de l'Ecole Normale Supérieure, vol.45, issue.1, pp.1-51, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00466265
Nonlinear perturbations of control-semilinear control systems, SIAM J. Control Optim, vol.20, issue.3, pp.311-327, 1982. ,
Perturbations of nonlinear controllable systems, SIAM J. Control Optim, vol.19, issue.2, pp.203-220, 1981. ,
Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions, ESAIM Control Optim. Calc. Var, vol.12, issue.3, pp.484-544, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00112388
Variation et optimisation de formes, Une analyse géométrique, 2005. ,
Lack of collision between solid bodies in a 2D incompressible viscous flow, Comm. Partial Differential Equations, vol.32, pp.1345-1371, 2007. ,
Collisions in 3D fluid structure interaction problems, SIAM J. Math. Anal, vol.40, pp.2451-2477, 2009. ,
Existence and uniqueness of solutions for the equations modelling the motion of rigid bodies in a perfect fluid, J. Funct. Anal, vol.259, issue.11, pp.2856-2885, 2010. ,
Viscous boundary layers for the Navier-Stokes equations with the Navier slip conditions, Arch. Ration. Mech. Anal, vol.199, issue.1, pp.145-175, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00865912
, Remarks on exact controllability for the Navier-Stokes equations, vol.6, pp.39-72, 2001.
Exact controllability of a fluid-rigid body system, J. Math. Pures Appl, vol.87, pp.408-437, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00590648
On the roughness-induced effective boundary conditions for an incompressible viscous flow, J. Differ. Equ, vol.170, issue.1, pp.96-122, 2001. ,
Navier-Stokes equations with Navier boundary conditions for a bounded domain in the plane, SIAM J. Math. Anal, vol.38, issue.1, pp.210-232, 2006. ,
Microfluidics : The no-slip boundary condition Handbook of Experimental Fluid Dynamics, 2006. ,
Contrôlabilité exacte, perturbations et stabilisation de systèmes distribués, Recherches en Mathématiques Appliquées, 1988. ,
A numerical study of undulatory swimming, J. comput. phys, vol.155, issue.2, pp.223-247, 1999. ,
Single input controllability of a simplified fluid-structure interaction model, ESAIM : Control, Optimisation and Calculus of Variations, EDP Sciences, vol.19, issue.01, pp.20-42, 2013. ,
Controllability of 3D low Reynolds number swimmers. ESAIM : Control, Optimisation and Calculus of Variations, vol.20, pp.236-268, 2014. ,
Introduction to mechanics and symmetry : a basic exposition of classical mechanical systems, vol.17, 2013. ,
Locomotion of Deformable Bodies in an Ideal Fluid : Newtonian versus Lagrangian Formalisms, J. Nonlinear Sci, vol.19, pp.665-715, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00276252
Mémoire sur les lois du mouvement des fluides, Mem. Acad. R. Sci. Inst, vol.6, pp.389-416, 1823. ,
, Controllability of the 3D compressible Euler system, Communications in Partial Differential Equations, vol.36, pp.1544-1564, 2011.
On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid, Ann. Inst. H. Poincaré Anal. Non Linéaire, vol.24, issue.1, pp.139-165, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00142401
Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid, M2AN Math. Model. Numer. Anal, vol.39, issue.1, pp.79-108, 2005. ,
URL : https://hal.archives-ouvertes.fr/hal-00091625
, On the "viscous incompressible fluid+rigid body" system with Navier conditions, vol.31, pp.55-80, 2014.
Über Flüssigkeitsbewegung bei sehr kleiner Reibung, Verhaldlg III Int. Math. Kong, pp.484-491, 1904. ,
Smooth solutions for the motion of a ball in an incompressible perfect fluid, Journal of Functional Analysis, vol.256, issue.5, pp.1618-1641, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00600982
Controllability and stabilizability theory for linear partial differential equations : recent progress and open questions, SIAM Rev, vol.20, issue.4, pp.639-739, 1978. ,
An initial and boundary problem modeling fish-like swimming, Arch. Ration. Mech. Anal, vol.188, issue.3, pp.429-455, 2008. ,
URL : https://hal.archives-ouvertes.fr/inria-00087876
A control theoretic approach to the swimming of microscopic organisms, Quart. Appl. Math, vol.65, issue.3, pp.405-424, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00096976
Mathematical principles of classical fluid mechanics, pp.125-263, 1959. ,
On the Theories of Internal Friction of Fluids in Motion and of the Equilibrium and Motion of Elastic Solids, Trans. Camb. Phil. Soc, vol.8, pp.287-319, 1845. ,
Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain, Adv. Diff. Eq, vol.8, issue.12, pp.1499-1532, 2003. ,
, Problèmes mathématiques en plasticité, Méthodes Mathématiques de l'Informatique, vol.12, 1983.
Observation and control for operator semigroups, Birkhäuser Advanced Texts : Basel Textbooks, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00590673
Strong solutions for the fluid-solid systems in a 2-D domain, Asymptotic Analysis, vol.89, pp.263-306, 2014. ,
The flow of a perfect, incompressible liquid through a given region, English translation in Soviet Physics Dokl, vol.146, pp.789-791, 1962. ,