Publications et prépublications

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Sur cette page, vous trouverez le détail de mes publications :
Livres et chapitres de livres
   
Publications dans des revues internationales à comité de lecture / Prépublications
  1. Minimization of the first eigenvalue for the Lamé system
    Antoine Henrot, Antoine Lemenant and Yannick Privat. Prépublication (2024)
  2. Sterile Insect Technique in a Patch System: Influence of Migration Rates on Optimal Single-Patch Releases Strategies
    Yves Dumont, Michel Duprez and Yannick Privat. Prépublication (2024)
  3. Large-time optimal observation domain for linear parabolic systems
    Idriss Mazari, Yannick Privat and Emmanuel Trélat. Prépublication (2024)
  4. Computer-assisted proof of non-reachability for linear systems in finite dimension
    Ivan Hasenohr, Camille Pouchol, Yannick Privat and Christophe Zhang. Prépublication (2024)
  5. Fully Reversing the Shoebox Image Source Method : From Impulse Responses to Room Parameters
    Tom Sprunck, Antoine Deleforge, Yannick Privat and Cédric Foy. Prépublication (2024).
  6. Stability of optimal shapes and convergence of thresholding algorithms in linear and spectral optimal control problems
    (supplementary material)
    Antonin Chambolle, Idriss Mazari and Yannick Privat. Prépublication (2023)
  7. Minimal time of magnetization switching in small ferromagnetic ellipsoidal samples
    Raphaël Côte, Clémentine Courtès, Guillaume Ferrière and Yannick Privat. Prépublication (2023)
  8. Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits
    Emmanuel Humbert, Yannick Privat and Emmanuel Trélat. Rapport de recherche (2018).
    9.  
     

  9. Volume-Preserving Geometric Shape Optimization of Dirichlet Energy Using Variational Neural Networks
    Amaury Bélières--Frendo, Emmanuel Franck, Victor Michel-Dansac and Yannick Privat. To appear in Neural Networks.
  10. Existence of surfaces optimizing geometric and PDE shape functionals under reach constraint
    Yannick Privat, Rémi Robin and Mario Sigalotti. To appear in Interfaces Free Bound.
  11. Qualitative analysis of optimisation problems with respect to non-constant Robin coefficients
    Idriss Mazari and Yannick Privat. Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 25, No. 3, 1309--1356 (2024).
  12. Is the Faber-Krahn inequality true for the Stokes operator?
    Idriss Mazari, Antoine Henrot and Yannick Privat. Calc. Var. Partial Differ. Equ. 63, No. 9, Paper No. 228, 38 p. (2024).
  13. Vector-borne disease outbreak control via instant vector releases
    Luis Almeida, Jesús Bellver Arnau, Yannick Privat and Carlotta Rebelo. J. Math. Biol. 89, 63 (2024)
  14. Optimal scenario for road evacuation in an urban environment
    Mickael Bestard, Emmanuel Franck, Laurent Navoret and Yannick Privat. Z. Angew. Math. Phys. 75, No. 4, Paper No. 146, 33 p. (2024).
  15. Optimal control of bistable travelling waves: looking for the best spatial distribution of a killing action to block a pest invasion
    Luis Almeida, Alexis Leculier, Grégoire Nadin and Yannick Privat. SIAM J. Control Optim. 62, No. 2, 1291–1315 (2024).
  16. Organ registration from partial surface data in augmented surgery from an optimal control perspective
    Stéphane Cotin, Guillaume Mestdagh and Yannick Privat. Proc. R. Soc. Lond. Ser. A. 480 : 20230197 (2024).
  17. Quantum Limits on product manifolds
    Emmanuel Humbert, Yannick Privat and Emmanuel Trélat. Indiana Univ. Math. J. 72, no. 2, 757--783 (2023).
  18. CFD-based geometrical shape optimization of a packed-bed reactor combining multi-objective and adjoint system methods
    Alexis Courtais, François Lesage, Yannick Privat, Cyril Pelaingre and Abderrazak Latifi. Chemical Engineering Science 275, 118728, (2023).
  19. Reduced modelling and optimal control of epidemiological individual-based models with contact heterogeneity
    Clémentine Courtès, Emmanuel Franck, Killian Lutz, Laurent Navoret and Yannick Privat. Optim Control Appl Meth. (2023), 1--35.
  20. Optimal control strategies for bistable ODE equations: application to mosquito population replacement
    Luis Almeida, Jesús Bellver Arnau, Yannick Privat. Applied Math. Optim. 87, no. 1, 10 (2023).
  21. The missing (A,D,r) diagram
    Alexandre Delyon, Antoine Henrot and Yannick Privat. Ann. Inst. Fourier (Grenoble) 72 (2022), no. 5, 1941--1992.
  22. Gridless 3D Recovery of Image Sources from Room Impulse Responses
    Tom Sprunck, Antoine Deleforge, Yannick Privat and Cédric Foy. IEEE Signal Processing Letters 29, 2427--2431 (2022).
  23. Desensitizing controls for the heat equation with respect to boundary variations
    Sylvain Ervedoza, Pierre Lissy and Yannick Privat. J. Ec. Polytech. Math. (2022), Tome 9, 1397--1429.
  24. Shape and topology optimization for maximum probability domains in quantum chemistry
    Benoît Braida, Jérémy Dalphin, Charles Dapogny, Pascal Frey, Yannick Privat. Numerische Math. 151 (2022), no. 4, 1017--1064.
  25. Optimal shape of stellarators for magnetic confinement fusion
    Yannick Privat, Rémi Robin and Mario Sigalotti. J. Math. Pures Appl. (9) 163 (2022), 231--264.
  26. Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate
    Idriss Mazari, Grégoire Nadin and Yannick Privat. Comm. Partial Differential Equations 47 (2022), no. 4, 797--828.
  27. Geometric and probabilistic results for the observability of the wave equation
    Emmanuel Humbert, Yannick Privat and Emmanuel Trélat. J. Ec. Polytech. Math. (2022), Tome 9, 431--461.
  28. Optimal control strategies for the sterile mosquitoes technique
    Luis Almeida, Michel Duprez, Yannick Privat and Nicolas Vauchelet. J. Differential Equations 311 (2022), 229--266.
  29. Shape optimization of a weighted two-phase Dirichlet eigenvalue
    Idriss Mazari, Grégoire Nadin and Yannick Privat. Arch. Ration. Mech. Anal. 243 (2022), no. 1, 95--137.
  30. Optimization of spatial control strategies for population replacement, application to Wolbachia
    Michel Duprez, Romane Hélie, Yannick Privat and Nicolas Vauchelet. ESAIM Control Optim. Calc. Var. 27 (2021), Paper No. 74, 30 pp.
  31. Shape optimization of fixed-bed reactors in process engineering
    Alexis Courtais, Abderrazak Latifi, François Lesage and Yannick Privat. SIAM J. Appl. Math. 81 (2021), no. 3, 1141--1165
  32. Optimal Immunity Control and Final Size Minimization by Social Distancing for the SIR Epidemic Model
    Pierre-Alexandre Bliman, Michel Duprez, Yannick Privat and Nicolas Vauchelet. J. Optim. Theory Appl. 189 (2021), no. 2, 408--436.
  33. Optimal design of fixed-bed reactors using geometry optimization and Stratoconception printing process
    Alexis Courtais, François Lesage, Yannick Privat, Cyril Pelaingre and Abderrazak Latifi. Computers & Chemical Engineering 153 (2021), 107405.
  34. Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations
    Antoine Henrot, Idriss Mazari and Yannick Privat. ESAIM Control Optim. Calc. Var. 27 (2021), suppl., Paper No. S6, 32 pp.
  35. Optimal location of resources maximizing the total population size in logistic models
    Idriss Mazari, Grégoire Nadin and Yannick Privat. J. Math. Pures Appl (9) 134 (2020), 1--35.
  36. On the randomised stability constant for inverse problems
    Giovanni S. Alberti, Yves Capdeboscq and Yannick Privat. Math. in Engineering, 2(2), 264--286, 2020.
  37. Insensitizing control for linear and semi-linear heat equations with partially unknown domain
    Pierre Lissy, Yannick Privat and Yacouba Simporé. ESAIM Control Optim. Calc. Var., 25 (2019).
  38. How positioning sensors in thermo-acoustic tomography?
    Maitine Bergounioux, Elie Bretin, and Yannick Privat. Inverse Problems. 35 (2019), no. 7, 074003, 25 pp.
  39. Mosquito population control strategies for fighting against arboviruses
    Luis Almeida, Michel Duprez, Yannick Privat and Nicolas Vauchelet. Math. Biosci. Eng. 16 (2019), no. 6, 6274--6297.
  40. Optimal releases for population replacement strategies, application to Wolbachia
    Luis Almeida, Yannick Privat, Martin Strugarek and Nicolas Vauchelet. SIAM J. Math. Anal 51 (2019), no. 4, 3170--3194.
  41. Observability properties of the homogeneous wave equation on a closed manifold
    Emmanuel Humbert, Yannick Privat and Emmanuel Trélat. Comm. Partial Differential Equations 44 (2019), no. 9, 749--772.
  42. Non-dispersal and density properties of infinite packings
    Alexandre Delyon, Antoine Henrot and Yannick Privat. SIAM J. Control Optim 57 (2019), no. 2 1467--1492.
  43. Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions
    Yannick Privat, Emmanuel Trélat and Enrique Zuazua. Calc. Var. Partial Differential Equations 58 (2019), no. 2, 58.
  44. Geometrical shape optimization in Fluid Mechanics using Freefem++      source code
    Charles Dapogny, Pascal Frey, Florian Omnès and Yannick Privat. Struct. Multidiscip. Optim 58 (2018), no. 6, 2761--2788.
  45. Modeling and optimization of hourglass-shaped aquaporins
    Matthieu Bonnivard, Florian Omnès and Yannick Privat. Math. Models Methods Applied Sci 28 (2018), no. 8, 1529--1564.
  46. A time reversal algorithm in acoustic media with Dirac measure approximations
    Elie Bretin, Carine Lucas and Yannick Privat. Inverse Problems 34 (2018), no. 4.
  47. Non-localization of eigenfunctions for Sturm-Liouville operators
    Thibault Liard, Pierre Lissy and Yannick Privat. J. Differential Equations 264 (2018), no. 4, 2449--2494.
  48. Optimal location of resources for biased movement of species: the 1D case
    Fabien Caubet, Thibaut Deheuvels and Yannick Privat. SIAM J. Appl. Math. 77 (2017), no. 6, 1876--1903.
  49. Nonlinear damped partial differential equations and their uniform discretizations
    Fatiha Alabau, Yannick Privat and Emmanuel Trélat. J. Funct. Anal. 273 (2017), no. 1, 352--403.
  50. Actuator design for parabolic distributed parameter systems with the moment method
    Yannick Privat, Emmanuel Trélat and Enrique Zuazua. SIAM J. Control Optim. 55 (2017), no. 2, 1128--1152.
  51. Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions
    Jimmy Lamboley, Antoine Laurain, Grégoire Nadin and Yannick Privat. Calc. Var. Partial Differential Equations 55 (2016), no. 6.
  52. How to estimate observability constants of one-dimensional wave equations? Propagation versus Spectral methods
    Alain Haraux, Thibault Liard and Yannick Privat. J. Evol. Eq. 16 (2016), 825--856.
  53. An extremal eigenvalue problem arising in heat conduction
    Grégoire Nadin and Yannick Privat. J. Math. Pures Appl. (9) 105 (2016), no. 6, 845--872.
  54. Randomised observation, control and stabilization of waves
    Yannick Privat, Emmanuel Trélat and Enrique Zuazua. ZAMM Z. Angew. Math. Mech. 96 (2016), no. 5, 538--549.
  55. Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains
    Yannick Privat, Emmanuel Trélat and Enrique Zuazua. J. Eur. Math. Soc. 18 (2016), 1043--1111.
  56. Optimal shape and location of sensors for parabolic equations with random initial data
    Yannick Privat, Emmanuel Trélat and Enrique Zuazua. Arch. Ration. Mech. Anal 216 (2015), no. 3, 921--981.
  57. Complexity and regularity of maximal energy domains for the wave equation with fixed initial data
    Yannick Privat, Emmanuel Trélat and Enrique Zuazua. Discrete Contin. Dyn. Syst. 35 (2015), no. 12, 6133--6153.
  58. Optimal design of sensors for a damped wave equation
    Yannick Privat and Emmanuel Trélat. Discrete Contin. Dyn. Syst. (2015). Dynamical systems, differential equations and applications. 10th AIMS Conference. Suppl., 936--944.
  59. Control and stabilization of steady-states in a finite-length ferromagnetic nanowire
    Yannick Privat and Emmanuel Trélat. ESAIM Control Optim. Calc. Var 21 (2015), no. 2, 301--323.
  60. On the controllability of quantum transport in an electronic nanostructure
    Florian Méhats, Yannick Privat and Mario Sigalotti. SIAM J. Applied Math 74 (2014), no. 6, 1870--1894.
  61. What is the optimal shape of a fin for one dimensional heat conduction?
    Gilles Marck, Grégoire Nadin and Yannick Privat. SIAM J. Applied Math 74 (2014), no. 4, 1194--1218.
  62. An optimal control problem in photoacoustic tomography
    Maitine Bergounioux, Xavier Bonnefond, Thomas Haberkorn and Yannick Privat. Math. Models Methods Applied Sci 12 (2014), no. 12, 2525--2548.
  63. Optimal location of controllers for the one-dimensional wave equation
    Yannick Privat, Emmanuel Trélat and Enrique Zuazua. Ann. Inst. H. Poincaré Anal. Non Linéaire 30 (2013), no. 6, 1097--1126.
  64. Optimal observation of the one-dimensional wave equation
    Yannick Privat, Emmanuel Trélat and Enrique Zuazua. J. Fourier Anal. Appl. 19 (2013), no. 3, 514--544.
  65. A simple and unified algorithm to solve fluid phase equilibria using either the gamma-phi or the phi-phi approach for binary and ternary mixtures
    Romain Privat, Jean-Noël Jaubert and Yannick Privat, Computers & Chemical Engineering 50 (2013), no. 5, 139--151.
  66. Shape optimization with Stokes constraints over the set of axisymmetric domains
    Maitine Bergounioux and Yannick Privat, SIAM J. Control Optim. 51 (2013), no. 1, 599--628.
  67. Stability properties of steady-states for a network of ferromagnetic nanowires
    Stéphane Labbé, Yannick Privat and Emmanuel Trélat, J. Differential Equations 154 (2012), no. 3, 1709--1728.
  68. Some inverse problems around the tokamak Tore Supra
    Yannick Fischer, Benjamin Marteau and Yannick Privat, Commun. Pure Appl. Anal. 11 (2012), no. 6, 2327--2349.
  69. On a Bernoulli problem with geometric constraints
    Antoine Laurain and Yannick Privat, ESAIM Control Optim. Calc. Var. 18 (2012), no. 1, 157--180.
  70. Shape minimization of the dissipated energy in dyadic trees
    Xavier Dubois De La Sablonière, Benjamin Mauroy and Yannick Privat, Discrete Contin. Dyn. Syst. Ser. B 16 (2011), no. 3, 767--799.
  71. The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent
    Yannick Privat and Mario Sigalotti, ESAIM Control Optim. Calc. Var. 16 (2010), no. 3, 794--805.
  72. What is the optimal shape of a pipe ?
    Antoine Henrot and Yannick Privat, Arch. Ration. Mech. Anal. 196 (2010), no. 1, 281--302.
  73. The optimal shape of a dendrite sealed at both ends
    Yannick Privat, Ann. Inst. H. Poincaré Anal. Non Linéaire 26 (2009), no. 6, 2317--2333.
  74. Can cubic equations of state be recast in the virial form ?
    Romain Privat, Yannick Privat and Jean-Noël Jaubert, Fluid Phase Equilibria 282 (2009), no. 1, 38--50
  75. Une conduite cylindrique n'est pas optimale pour minimiser l'énergie dissipée par un fluide
    Antoine Henrot et Yannick Privat, C. R. Math. Acad. Sci. Paris 346 (2008), no. 19-20, 1057--1061
  76. Shape minimization of dendritic attenuation
    Antoine Henrot and Yannick Privat, Appl. Math. Optim. 57 (2008), no. 1, pages 1--16.
  77. A free boundary problem for the Laplacian with constant Bernoulli-type boundary condition
    Erik Lindgren and Yannick Privat, Nonlinear Anal. 67 (2007), no. 8, 2497--2505.
   
Publications de vulgarisation
   
Actes de conférences / Proceedings
   
   
Habilitation à Diriger les Recherches (HDR)
   
Thèse