TAKAHASHI Takéo

Fonction : Directeur de recherche Inria
Équipe : Équations aux dérivées partielles
Coordonnées :

IECL – Site de Nancy
Faculté des sciences et Technologies
Campus, Boulevard des Aiguillettes
54506 Vandœuvre-lès-Nancy

Email : takeo.takahashi@inria.fr
Téléphone : 03 72 74 53 75
Bureau : 222

Je suis responsable de l’équipe-projet Inria SPHINX (Inria Nancy – Grand Est).

Publications :

  1. Analysis and stabilization of a model of population dynamics with age structure and diffusion
    avec Mehdi Badra.
    Discrete Contin. Dyn. Syst. Ser. B 30 (2025), no. 10, 3959–3995. https://hal.science/hal-04778018v1/document
  2. Controllability with one scalar control of a system of interaction between the Navier-Stokes system and a damped beam equation
    avec Rémi Buffe.
    Math. Control Signals Systems 37 (2025), no. 1, 113–142. https://hal.science/hal-04140088v1/document
  3. Regularity of weak solutions of a fluid-rigid body interaction system in a bounded domain under the Prodi-Serrin condition
    avec Debayan Maity.
    J. Differential Equations 424 (2025), 726–759. https://hal.science/hal-04599986v1/document
  4. Null-controllability of cascade reaction-diffusion systems with odd coupling terms
    avec Kévin Le Balc’h.
    Ann. Math. Blaise Pascal 31 (2024), no. 2, 239–271. https://hal.science/hal-03899697v1/document
  5. Stackelberg exact controllability for the Boussinesq system
    avec Luz de Teresa et Yingying Wu-Zhang.
    NoDEA Nonlinear Differential Equations Appl. 31 (2024), no. 5, Paper No. 83, 36 pp. https://hal.science/hal-04228391v1/document
  6. Flatness approach for the boundary controllability of a system of heat equations
    avec Blaise Colle et Jérôme Lohéac.
    SIAM J. Control Optim. 62 (2024), no. 3, 1766–1782. https://hal.science/hal-04119834v1/document
  7. Control problems for the Navier-Stokes system with nonlocal spatial terms
    avec Nicolás Carreño.
    J. Optim. Theory Appl. 200 (2024), no. 2, 724–767. https://hal.science/hal-03819799v1/document
  8. Uniqueness and regularity of weak solutions of a fluid-rigid body interaction system under the Prodi-Serrin condition
    avec Debayan Maity.
    Discrete Contin. Dyn. Syst. 44 (2024), no. 3, 718–742. https://hal.science/hal-04075090v1/document
  9. A Kalman condition for the controllability of a coupled system of Stokes equations
    avec Luz de Teresa et Yingying Wu-Zhang.
    J. Evol. Equ. 24 (2024), no. 1, Paper No. 4, 25 pp. https://hal.science/hal-03936869v2/document
  10. Feedback boundary stabilization for a viscous incompressible fluid with Navier slip boundary conditions in interaction with a damped beam
    avec Imene Aicha Djebour.
    Nonlinear Anal. Real World Appl. 76 (2024), Paper No. 104022, 21 pp. https://hal.science/hal-04012901v1/document
  11. Controllability of a fluid-structure interaction system coupling the Navier-Stokes system and a damped beam equation
    avec Rémi Buffe.
    C. R. Math. Acad. Sci. Paris 361 (2023), 1541–1576. https://hal.science/hal-03878011v1/document
  12. Controllability results for a cross diffusion system with a free boundary by a flatness approach
    avec Blaise Colle et Jérôme Lohéac.
    Acta Appl. Math. 187 (2023), Paper No. 14, 18 pp. https://hal.science/hal-03969875v2/document
  13. Analyticity of the semigroup corresponding to a strongly damped wave equation with a Ventcel boundary condition
    avec Mehdi Badra.
    Dyn. Partial Differ. Equ. 20 (2023), no. 3, 249–262. https://hal.science/hal-03784384v1/document
  14. Switching controls for parabolic systems
    avec Mehdi Badra.
    Palest. J. Math. 12 (2023), no. 1, 64–74. https://hal.science/hal-03417266v1/document
  15. Controllability results for cascade systems of $m$ coupled $N$-dimensional Stokes and Navier-Stokes systems by $N−1$ scalar controls
    avec Luz de Teresa et Yingying Wu-Zhang.
    ESAIM Control Optim. Calc. Var. 29 (2023), Paper No. 31, 24 pp. https://hal.science/hal-03325287v1/document
  16. Controllability of the Stefan problem by the flatness approach
    avec Blaise Colle et Jérôme Lohéac.
    Systems Control Lett. 174 (2023), Paper No. 105480, 11 pp. https://hal.science/hal-03721544v1/document
  17. Controllability of a Stokes system with a diffusive boundary condition
    avec Rémi Buffe.
    ESAIM Control Optim. Calc. Var. 28 (2022), Paper No. 63, 29 pp. https://hal.science/hal-03331176v1/document
  18. Maximal regularity for the Stokes system coupled with a wave equation: application to the system of interaction between a viscous incompressible fluid and an elastic wall
    avec Mehdi Badra.
    J. Evol. Equ. 22 (2022), no. 3, Paper No. 71, 55 pp. https://hal.science/hal-03323092v1/document
  19. Gevrey regularity for a system coupling the Navier-Stokes system with a beam: the non-flat case
    avec Mehdi Badra.
    Funkcial. Ekvac. 65 (2022), no. 1, 63–109. https://hal.science/hal-02303258v1/document
  20. Feedback stabilization of parabolic systems with input delay
    avec Imene Aicha Djebour et Julie Valein.
    Math. Control Relat. Fields 12 (2022), no. 2, 405–420. https://hal.science/hal-02545562v2/document
  21. Asymptotic analysis of an optimal control problem for a viscous incompressible fluid with Navier slip boundary conditions
    avec Claudia Gariboldi.
    Asymptot. Anal. 126 (2022), no. 3-4, 379–399. https://hal.science/hal-03930522v1/document
  22. Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body
    avec Debanjana Mitra et Arnab Roy.
    Math. Control Signals Systems 33 (2021), no. 4, 637–667. https://hal.science/hal-02987407v1/document
  23. $L^p$ theory for the interaction between the incompressible Navier-Stokes system and a damped plate
    avec Debayan Maity.
    J. Math. Fluid Mech. 23 (2021), no. 4, Paper No. 103, 23 pp. https://hal.science/hal-02294097v2/document
  24. Controllability to trajectories of a Ladyzhenskaya model for a viscous incompressible fluid
    avec Sergio Guerrero.
    C. R. Math. Acad. Sci. Paris 359 (2021), 719–732. https://hal.science/hal-03140709v1/document
  25. Existence of contacts for the motion of a rigid body into a viscous incompressible fluid with the Tresca boundary conditions
    avec Matthieu Hillairet.
    Tunis. J. Math. 3 (2021), no. 3, 447–468. https://hal.science/hal-02393058v1/document
  26. Existence of strong solutions for a system of interaction between a compressible viscous fluid and a wave equation
    avec Debayan Maity et Arnab Roy.
    Nonlinearity 34 (2021), no. 4, 2659–2687. https://hal.science/hal-02908420v1/document
  27. On the null-controllability of a radiative heat transfer system
    avec Mohamed Ghattassi.
    Eur. J. Control 59 (2021), 143–151.
  28. Stabilization of a rigid body moving in a compressible viscous fluid
    avec Arnab Roy.
    J. Evol. Equ. 21 (2021), no. 1, 167–200. https://hal.science/hal-02314870v1/document
  29. Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier-Stokes-Fourier fluid and a damped plate equation
    avec Debayan Maity.
    Nonlinear Anal. Real World Appl. 59 (2021), Paper No. 103267, 34 pp. https://hal.science/hal-02668248v1/document
  30. Optimal boundary control for steady motions of a self-propelled body in a Navier-Stokes liquid
    avec Toshiaki Hishida et Ana Leonor Silvestre.
    ESAIM Control Optim. Calc. Var. 26 (2020), Paper No. 92, 42 pp. https://hal.science/hal-02502289v1/document
  31. Remark on the global null controllability for a viscous Burgers-particle system with particle supported control
    avec Mythily Ramaswamy et Arnab Roy.
    Appl. Math. Lett. 107 (2020), 106483, 7 pp. https://hal.science/hal-02541031v1/document
  32. Controllability of low Reynolds numbers swimmers of ciliate type
    avec Jérôme Lohéac.
    ESAIM Control Optim. Calc. Var. 26 (2020), Paper No. 31, 30 pp. https://hal.science/hal-01569856v1/document
  33. Local null controllability of a rigid body moving into a Boussinesq flow
    avec Arnab Roy.
    Math. Control Relat. Fields 9 (2019), no. 4, 793–836. https://hal.science/hal-01572508v1/document
  34. Gevrey regularity for a system coupling the Navier-Stokes system with a beam equation
    avec Mehdi Badra.
    SIAM J. Math. Anal. 51 (2019), no. 6, 4776–4814. https://hal.science/hal-02160011v1/document
  35. Mathematical analysis of the motion of a rigid body in a compressible Navier-Stokes-Fourier fluid
    avec Bernhard Haak, Debayan Maity et Marius Tucsnak.
    Math. Nachr. 292 (2019), no. 9, 1972–2017. https://hal.science/hal-01619647v1/document
  36. Analysis of a simplified model of rigid structure floating in a viscous fluid
    avec Debayan Maity, Jorge San Martín et Marius Tucsnak.
    J. Nonlinear Sci. 29 (2019), no. 5, 1975–2020. https://hal.science/hal-01889892v1/document
  37. Well-posedness for the coupling between a viscous incompressible fluid and an elastic structure
    avec Muriel Boulakia et Sergio Guerrero.
    Nonlinearity 32 (2019), no. 10, 3548–3592. https://inria.hal.science/hal-01939464v1/document
  38. Existence of weak solutions for a Bingham fluid-rigid body system
    avec Benjamin Obando.
    Ann. Inst. H. Poincaré C Anal. Non Linéaire 36 (2019), no. 5, 1281–1309. https://hal.science/hal-01942426v1/document
  39. On the existence of strong solutions to a fluid structure interaction problem with Navier boundary conditions
    avec Imene Aicha Djebour.
    J. Math. Fluid Mech. 21 (2019), no. 3, Paper No. 36, 30 pp. https://hal.science/hal-02061542v1/document
  40. Local controllability to stationary trajectories of a Burgers equation with nonlocal viscosity
    avec Sorin Micu.
    J. Differential Equations 264 (2018), no. 5, 3664–3703. https://hal.science/hal-01572317v1/document
  41. Fluid-rigid structure interaction system with Coulomb’s law
    avec Loredana Bălilescu et Jorge San Martín.
    SIAM J. Math. Anal. 49 (2017), no. 6, 4625–4657. https://hal.science/hal-01386574v1/document
  42. A boundary control problem for the steady self-propelled motion of a rigid body in a Navier-Stokes fluid
    avec Toshiaki Hishida et Ana Leonor Silvestre.
    Ann. Inst. H. Poincaré C Anal. Non Linéaire 34 (2017), no. 6, 1507–1541. https://hal.science/hal-01205210v1/document
  43. Analysis of a system modelling the motion of a piston in a viscous gas
    avec Debayan Maity et Marius Tucsnak.
    J. Math. Fluid Mech. 19 (2017), no. 3, 551–579. https://hal.science/hal-01285089v1/document
  44. Feedback boundary stabilization of 2D fluid-structure interaction systems
    avec Mehdi Badra.
    Discrete Contin. Dyn. Syst. 37 (2017), no. 5, 2315–2373. https://hal.science/hal-01370000v1/document
  45. On the reconstruction of obstacles and of rigid bodies immersed in a viscous incompressible fluid
    avec Jorge San Martín et Erica Schwindt.
    J. Inverse Ill-Posed Probl. 25 (2017), no. 1, 1–21. https://hal.science/hal-01241112v1/document
  46. Small moving rigid body into a viscous incompressible fluid
    avec Christophe Lacave.
    Arch. Ration. Mech. Anal. 223 (2017), no. 3, 1307–1335. https://hal.science/hal-01169436v2/document
  47. Boundary local null-controllability of the Kuramoto-Sivashinsky equation
    Math. Control Signals Systems 29 (2017), no. 1, Art. 2, 21 pp. https://hal.science/hal-01373201v1/document
  48. On the Navier-Stokes system with the Coulomb friction law boundary condition
    avec Loredana Bălilescu et Jorge San Martín.
    Z. Angew. Math. Phys. 68 (2017), no. 1, Paper No. 3, 25 pp. https://hal.science/hal-01393709v1/document
  49. On the minimization of total mean curvature
    avec Jérémy Dalphin, Antoine Henrot et Simon Masnou.
    J. Geom. Anal. 26 (2016), no. 4, 2729–2750. https://hal.science/hal-01015600v1/document
  50. An optimal control approach to ciliary locomotion
    avec Jorge San Martín et Marius Tucsnak.
    Math. Control Relat. Fields 6 (2016), no. 2, 293–334. https://hal.science/hal-01062663v1/document
  51. Elastic energy of a convex body
    avec Chiara Bianchini et Antoine Henrot.
    Math. Nachr. 289 (2016), no. 5-6, 546–574. https://hal.science/hal-01011979v2/document
  52. Stabilization of a fluid-rigid body system
    avec Marius Tucsnak et George Weiss.
    J. Differential Equations 259 (2015), no. 11, 6459–6493.
  53. On the Fattorini criterion for approximate controllability and stabilizability of parabolic systems
    avec Mehdi Badra.
    ESAIM Control Optim. Calc. Var. 20 (2014), no. 3, 924–956. https://hal.science/hal-00743899v2/document
  54. Feedback stabilization of a fluid-rigid body interaction system
    avec Mehdi Badra.
    Adv. Differential Equations 19 (2014), no. 11-12, 1137–1184. https://hal.science/hal-01091953v1/document
  55. Numerical observers with vanishing viscosity for the 1d wave equation
    avec Galina García.
    Adv. Comput. Math. 40 (2014), no. 4, 711–745. https://hal.science/hal-00914924v1/document
  56. Existence of global weak solutions for a phase-field model of a vesicle moving into a viscous incompressible fluid
    avec Yuning Liu.
    Math. Methods Appl. Sci. 37 (2014), no. 10, 1507–1526. https://hal.science/hal-00914930v1/document
  57. Feedback stabilization of a simplified 1d fluid-particle system
    avec Mehdi Badra.
    Ann. Inst. H. Poincaré C Anal. Non Linéaire 31 (2014), no. 2, 369–389. https://hal.science/hal-00814009v1/document
  58. Well-posedness for a one-dimensional fluid-particle interaction model
    avec Boris Andreianov, Frédéric Lagoutière et Nicolas Seguin.
    SIAM J. Math. Anal. 46 (2014), no. 2, 1030–1052. https://hal.science/hal-00789315v1/document
  59. The motion of a fluid-rigid ball system at the zero limit of the rigid ball radius
    avec Ana Leonor Silvestre
    Arch. Ration. Mech. Anal. 211 (2014), no. 3, 991–1012. https://hal.science/hal-00914936v1/document
  60. Single input controllability of a simplified fluid-structure interaction model
    avec Yuning Liu et Marius Tucsnak.
    ESAIM Control Optim. Calc. Var. 19 (2013), no. 1, 20–42.
  61. Existence of strong solutions for the motion of an elastic structure in an incompressible viscous fluid
    avec Muriel Boulakia et Erica Schwindt
    Interfaces Free Bound. 14 (2012), no. 3, 273–306.
  62. Smoothness of the motion of a rigid body immersed in an incompressible perfect fluid
    avec Olivier Glass et Franck Sueur.
    Ann. Sci. Éc. Norm. Supér. (4) 45 (2012), no. 1, 1–51. https://hal.science/hal-00466265v1/document
  63. On the motion of a rigid body with a cavity filled with a viscous liquid
    avec Ana Leonor Silvestre.
    Proc. Roy. Soc. Edinburgh Sect. A 142 (2012), no. 2, 391–423.
  64. Strong solutions for a phase field Navier-Stokes vesicle-fluid interaction model
    avec Yuning Liu et Marius Tucsnak.
    J. Math. Fluid Mech. 14 (2012), no. 1, 177–195.
  65. On the identifiability of a rigid body moving in a stationary viscous fluid
    avec Carlos Conca et Erica Schwindt.
    Inverse Problems 28 (2012), no. 1, 015005, 22 pp.
  66. Weak solutions for the motion of a self-propelled deformable structure in a viscous incompressible fluid
    avec Šárka Nečasová et Marius Tucsnak.
    Acta Appl. Math. 116 (2011), no. 3, 329–352.
  67. Inverse problem and null-controllability for parabolic systems
    avec Galina García.
    J. Inverse Ill-Posed Probl. 19 (2011), no. 3, 379–405.
  68. Stabilization of parabolic nonlinear systems with finite dimensional feedback or dynamical controllers: application to the Navier-Stokes system
    avec Mehdi Badra.
    SIAM J. Control Optim. 49 (2011), no. 2, 420–463.
  69. Small solids in an inviscid fluid
    avec Boris Andreianov, Frédéric Lagoutière et Nicolas Seguin.
    Netw. Heterog. Media 5 (2010), no. 3, 385–404.
  70. Homogenization and singular limits for the complete Navier-Stokes-Fourier system
    avec Eduard Feireisl et Antonín Novotný.
    J. Math. Pures Appl. (9) 94 (2010), no. 1, 33–57.
  71. Blow up and grazing collision in viscous fluid solid interaction systems
    avec Matthieu Hillairet.
    Ann. Inst. H. Poincaré C Anal. Non Linéaire 27 (2010), no. 1, 291–313.
  72. Convergence of a finite element/ALE method for the Stokes equations in a domain depending on time
    avec Jorge San Martín et Loredana Smaranda.
    J. Comput. Appl. Math. 230 (2009), no. 2, 521–545.
  73. Solving inverse source problems using observability. Applications to the Euler-Bernoulli plate equation
    avec Carlos Alves, Ana Leonor Silvestre et Marius Tucsnak.
    SIAM J. Control Optim. 48 (2009), no. 3, 1632–1659. https://hal.science/hal-00283402v1/document
  74. Collisions in three-dimensional fluid structure interaction problems
    avec Matthieu Hillairet.
    SIAM J. Math. Anal. 40 (2009), no. 6, 2451–2477.
  75. Wellposedness for the system modelling the motion of a rigid body of arbitrary form in an incompressible viscous fluid
    avec Patricio Cumsille.
    Czechoslovak Math. J. 58(133) (2008), no. 4, 961–992.
  76. A simple 1D model of inviscid fluid-solid interaction
    avec Frédéric Lagoutière et Nicolas Seguin.
    J. Differential Equations 245 (2008), no. 11, 3503–3544.
  77. Convergence of a Lagrange-Galerkin method for a fluid-rigid body system in ALE formulation
    avec Guillaume Legendre.
    M2AN Math. Model. Numer. Anal. 42 (2008), no. 4, 609–644.
  78. Topological sensitivity analysis for time-dependent problems
    avec Samuel Amstutz et Boris Vexler.
    ESAIM Control Optim. Calc. Var. 14 (2008), no. 3, 427–455.
  79. An initial and boundary value problem modeling of fish-like swimming
    avec Jorge San Martín, Jean-François Scheid et Marius Tucsnak.
    Arch. Ration. Mech. Anal. 188 (2008), no. 3, 429–455.
  80. A control theoretic approach to the swimming of microscopic organisms
    avec Jorge San Martín et Marius Tucsnak.
    Quart. Appl. Math. 65 (2007), no. 3, 405–424.
  81. Uniformly exponentially stable approximations for a class of second order evolution equations—application to LQR problems
    avec Karim Ramdani et Marius Tucsnak.
    ESAIM Control Optim. Calc. Var. 13 (2007), no. 3, 503–527.
  82. Exact controllability of a fluid-rigid body system
    avec Oleg Imanuvilov.
    J. Math. Pures Appl. (9) 87 (2007), no. 4, 408–437.
  83. On the motion of a rigid body immersed in a bidimensional incompressible perfect fluid
    avec Jaime Ortega et Lionel Rosier.
    Ann. Inst. H. Poincaré C Anal. Non Linéaire 24 (2007), no. 1, 139–165.
  84. Convergence results for a semilinear problem and for a Stokes problem in a periodic geometry
    avec Séverine Baillet et Antoine Henrot.
    Asymptot. Anal. 50 (2006), no. 3-4, 325–337.
  85. Internal stabilization of the plate equation in a square: the continuous and the semi-discretized problems
    avec Karim Ramdani et Marius Tucsnak
    J. Math. Pures Appl. (9) 85 (2006), no. 1, 17–37.
  86. Convergence of the Lagrange-Galerkin method for the equations modelling the motion of a fluid-rigid system
    avec Jorge San Martín, Jean-François Scheid et Marius Tucsnak.
    SIAM J. Numer. Anal. 43 (2005), no. 4, 1536–1571.
  87. A spectral approach for the exact observability of infinite-dimensional systems with skew-adjoint generator
    avec Karim Ramdani, Gérald Tenenbaum et Marius Tucsnak.
    J. Funct. Anal. 226 (2005), no. 1, 193–229.
  88. Classical solutions for the equations modelling the motion of a ball in a bidimensional incompressible perfect fluid
    avec Jaime Ortega et Lionel Rosier.
    M2AN Math. Model. Numer. Anal. 39 (2005), no. 1, 79–108.
  89. Global strong solutions for the two-dimensional motion of an infinite cylinder in a viscous fluid
    avec Marius Tucsnak.
    J. Math. Fluid Mech. 6 (2004), no. 1, 53–77.
  90. Analysis of strong solutions for the equations modeling the motion of a rigid-fluid system in a bounded domain
    Adv. Differential Equations 8 (2003), no. 12, 1499–1532.