Sur cette page, vous trouverez le détail de mes publications :
Aide-mémoire : Mathématiques de l'Ingénieur
Maurice Chossat et Yannick Privat, Dunod éditeur, 328 pages.
Idriss Mazari, Grégoire Nadin et Yannick Privat. Handbook of Numerical Analysis, Volume 23, 2022.
Zermelo navigation on the sphere with revolution metrics
Bernard Bonnard, Olivier Cots, Yannick Privat et Emmanuel Trélat. AIMS Applied Math Books - Special issue in honor of I. Kupka. 35-66, 2024.
Optimisation of Functional Determinants on the Circle
Jean-Baptiste Caillau, Yacine Chitour, Pedro Freitas et Yannick Privat. AIMS Applied Math Books - Special issue in honor of I. Kupka. 155-171, 2024.
Minimal Time Control of Underdamped Parametric Oscillators
Killian Lutz and Yannick Privat. Prépublication (2025).
The Spear and the Ring: Emergent Structures in Magnetic Colloidal Suspensions
Raphaël Côte, Clémentine Courtès, Guillaume Ferriere, Ludovic Godard-Cadillac and Yannick Privat. Prépublication (2025).
Bernard Bonnard, Olivier Cots and Yannick Privat. Prépublication (2025).
Hearing the Shape of a Cuboid Room Using Sparse Measure Recovery
Antoine Deleforge, Cédric Foy, Yannick Privat and Tom Sprunck. Prépublication (2025).
Existence and Uniqueness of Domain Walls for Notched Ferromagnetic Nanowires
Raphaël Côte, Clémentine Courtès, Guillaume Ferrière, Ludovic Godard-Cadillac and Yannick Privat. Prépublication (2025).
Minimization of the first eigenvalue for the Lamé system
Antoine Henrot, Antoine Lemenant and Yannick Privat. Prépublication (2024).
Yves Dumont, Michel Duprez and Yannick Privat. Prépublication (2024).
Geometric and spectral characterization of Zoll manifolds, invariant measures and quantum limits
Emmanuel Humbert, Yannick Privat and Emmanuel Trélat. Rapport de recherche (2018).
Computer-assisted proofs of non-reachability for finite-dimensional linear control systems
Ivan Hasenohr, Camille Pouchol, Yannick Privat and Christophe Zhang. To appear in SIAM J. Control Optim.
(supplementary material)
Antonin Chambolle, Idriss Mazari and Yannick Privat. To appear in Math. Ann.
Large-time optimal observation domain for linear parabolic systems
Idriss Mazari, Yannick Privat and Emmanuel Trélat. To appear in Ann. Inst. H. Poincaré Anal. Non Linéaire.
Fully Reversing the Shoebox Image Source Method: From Impulse Responses to Room Parameters
Tom Sprunck, Antoine Deleforge, Yannick Privat and Cédric Foy. IEEE Transactions on Audio, Speech and Language Processing, 33, 1023--1033 (2025).
Minimal time of magnetization switching in small ferromagnetic ellipsoidal samples
Raphaël Côte, Clémentine Courtès, Guillaume Ferrière and Yannick Privat. J. Ec. Polytech. Math. 12, 147–184 (2025).
Existence of surfaces optimizing geometric and PDE shape functionals under reach constraint
Yannick Privat, Rémi Robin and Mario Sigalotti. Interfaces Free Bound. 27, No. 1, 65–90 (2025).
Volume-Preserving Geometric Shape Optimization of Dirichlet Energy Using Variational Neural Networks
Amaury Bélières--Frendo, Emmanuel Franck, Victor Michel-Dansac and Yannick Privat. Neural Netw. 184, Article ID 106957, 21 p. (2025).
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).
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).
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)
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).
Luis Almeida, Alexis Leculier, Grégoire Nadin and Yannick Privat. SIAM J. Control Optim. 62, No. 2, 1291–1315 (2024).
Stéphane Cotin, Guillaume Mestdagh and Yannick Privat. Proc. R. Soc. Lond. Ser. A. 480: 20230197 (2024).
Quantum Limits on product manifolds
Emmanuel Humbert, Yannick Privat and Emmanuel Trélat. Indiana Univ. Math. J. 72, no. 2, 757–783 (2023).
Alexis Courtais, François Lesage, Yannick Privat, Cyril Pelaingre and Abderrazak Latifi. Chemical Engineering Science 275, 118728 (2023).
Clémentine Courtès, Emmanuel Franck, Killian Lutz, Laurent Navoret and Yannick Privat. Optim Control Appl Meth. (2023), 1–35.
Luis Almeida, Jesús Bellver Arnau, Yannick Privat. Applied Math. Optim. 87, no. 1, 10 (2023).
Alexandre Delyon, Antoine Henrot and Yannick Privat. Ann. Inst. Fourier (Grenoble) 72 (2022), no. 5, 1941–1992.
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).
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.
Shape and topology optimization for maximum probability domains in quantum chemistry
Benoît Braida, Jérémie Dalphin, Charles Dapogny, Pascal Frey, Yannick Privat. Numerische Math. 151 (2022), no. 4, 1017–1064.
Optimal shape of stellarators for magnetic confinement fusion
Yannick Privat, Rémi Robin and Mario Sigalotti. J. Math. Pures Appl. (9) 163 (2022), 231–264.
Idriss Mazari, Grégoire Nadin and Yannick Privat. Comm. Partial Differential Equations 47 (2022), no. 4, 797–828.
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.
Optimal control strategies for the sterile mosquitoes technique
Luis Almeida, Michel Duprez, Yannick Privat and Nicolas Vauchelet. J. Differential Equations 311 (2022), 229–266.
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.
Optimization of spatial control strategies for population replacement, application to Wolbachia
Michel Duprez, Romane Hélic, Yannick Privat and Nicolas Vauchelet. ESAIM Control Optim. Calc. Var. 27 (2021), Paper No. 74, 30 pp.
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.
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.
Alexis Courtais, François Lesage, Yannick Privat, Cyril Pelaingre and Abderrazak Latifi. Computers & Chemical Engineering 153 (2021), 107405.
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.
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.
On the randomized stability constant for inverse problems
Giovanni S. Alberti, Yves Capdeboscq and Yannick Privat. Math. in Engineering, 2(2), 264–286, 2020.
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).
How positioning sensors in thermo-acoustic tomography?
Maitine Bergounioux, Elie Bretin, and Yannick Privat. Inverse Problems. 35 (2019), no. 7, 074003, 25 pp.
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.
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.
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.
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.
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.
Geometrical shape optimization in Fluid Mechanics using Freefem++
Charles Dapogny, Pascal Frey, Florian Omnès and Yannick Privat. Struct. Multidiscip. Optim 58 (2018), no. 6, 2761–2788.
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.
A time reversal algorithm in acoustic media with Dirac measure approximations
Elie Bretin, Carine Lucas and Yannick Privat. Inverse Problems 34 (2018), no. 4.
Non-localization of eigenfunctions for Sturm-Liouville operators
Thibault Liard, Pierre Lissy and Yannick Privat. J. Differential Equations 264 (2018), no. 4, 2449–2494.
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.
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.
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.
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.
Alain Haraux, Thibault Liard and Yannick Privat. J. Evol. Eq. 16 (2016), 825–856.
An extremal eigenvalue problem arising in heat conduction
Grégoire Nadin and Yannick Privat. J. Math. Pures Appl. (9) 105 (2016), no. 6, 845–872.
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.
Yannick Privat, Emmanuel Trélat and Enrique Zuazua. J. Eur. Math. Soc. 18 (2016), 1043–1111.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Romain Privat, Jean-Noël Jaubert and Yannick Privat, Computers & Chemical Engineering 50 (2013), no. 5, 139–151.
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.
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.
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.
On a Bernoulli problem with geometric constraints
Antoine Laurain and Yannick Privat, ESAIM Control Optim. Calc. Var. 18 (2012), no. 1, 157–180.
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.
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.
What is the optimal shape of a pipe?
Antoine Henrot and Yannick Privat, Arch. Ration. Mech. Anal. 196 (2010), no. 1, 281–302.
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.
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.
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.
Shape minimization of dendritic attenuation
Antoine Henrot and Yannick Privat, Appl. Math. Optim. 57 (2008), no. 1, pages 1–16.
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.