Publications et prépublications

Sur cette page, vous trouverez le détail de mes publications :

Les livres et chapitres de livres
Les prépublications et publications dans des revues internationales à comité de lecture
Les publications de vulgarisation
Les actes de conférences/proceedings
Mes manuscrits de thèse et d'habilitation à diriger les recherches

Livres et chapitres de livres

Aide-mémoire : Mathématiques de l'Ingénieur

Maurice Chossat et Yannick Privat, Dunod éditeur, 328 pages.
Some challenging optimisation problems for logistic diffusive equations and their numerical modelling

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.

Prépublications / Publications dans des revues internationales à comité de lecture

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).
The Zermelo Navigation Problem on the 2-Sphere of Revolution: An Optimal Control Perspective with Applications to Micromagnetism

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).
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).
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.
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. 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).
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).
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).
Quantum Limits on product manifolds

Emmanuel Humbert, Yannick Privat and Emmanuel Trélat. Indiana Univ. Math. J. 72, no. 2, 757–783 (2023).
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).
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.
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).
The missing (A,D,r) diagram

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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.

Publications de vulgarisation

Contrôler, Optimiser, Décider
Emmanuel Franck et Yannick Privat. La Gazette des Mathématiciens (2022), o. 9.
Contrôle d'épidémies par lâchers de moustiques
Luis Almeida, Yannick Privat, Martin Strugarek, Nicolas Vauchelet. Images des Mathématiques, CNRS, 2018.
La forme optimale des neurones
Yannick Privat, Les dossiers de la recherche, no. 5, juillet 2013, pages 18-20. (republication de l'article de 2007)
La forme optimale des neurones
Yannick Privat, La recherche, novembre 2007, pages 82-83.

Actes de conférences / Proceedings

Optimal shape and location of sensors for wave pressure boundary measurements
Yannick Privat. Monografías Matemáticas Garcia de Galdeano 43, 181–194 (2024).
Real-time elastic partial shape matching using a neural network-based adjoint method
Alban Odot, Guillaume Mestdagh, Yannick Privat, Stéphane Cotin. Proceedings of the International Conference in Optimization and Learning 2023 (OLA2023), Malaga, Spain.
Multi-objective optimization of the shape of a fixed-bed reactor
Alexis Courtais, François Lesage, Yannick Privat, Cyril Pelaingre, Abderrazak M. Latifi. Proceedings of the 31st European Symposium on Computer Aided Process Engineering (ESCAPE31), June 6-9, 2021, Istanbul, Turkey.
Determination of the optimal packing configuration of a catalytic fixed-bed reactor using geometry and multi-objective optimization methods
Alexis Courtais, François Lesage, Yannick Privat, Abderrazak M. Latifi. 2021 23rd International Conference on Process Control (PC), June 1-4, 2021, Pleso, Strbské Slovakia.
Shape Optimization of a Fixed-bed Reactor using Additive Manufacturing
Alexis Courtais, François Lesage, Yannick Privat, Cyril Pelaingre, Abderrazak M. Latifi. Proceedings of the 30th European Symposium on Computer Aided Process Engineering (ESCAPE30), May 24-27, 2020, Milano, Italy.
Minimal cost-time strategies for mosquito population replacement
Luis Almeida, Jesús Bellver Arnau, Michel Duprez, Yannick Privat. Optimization and control for partial differential equations, 73-90, Radon Ser. Comput. Appl. Math., 29, De Gruyter, Berlin, [2022].
Adjoint system method in shape optimization of some typical fluid flow patterns
Alexis Courtais, François Lesage, Yannick Privat, Pascal Frey, Abderrazak M. Latifi. Proceedings of the 29th European Symposium on Computer Aided Process Engineering, Eindhoven, The Netherlands, 2019.
Numerical shape optimization in Fluid Mechanics at low Reynolds number
Alexis Courtais, François Lesage, Yannick Privat, Pascal Frey, Abderrazak M. Latifi. 22nd International Conference on Process Control, June 11-14, 2019, Strbské Pleso, Slovakia.
Optimal release of mosquitoes to control dengue transmission
Luis Almeida, Antoine Haddon, Claire Kermorvant, Alexis Léculier, Yannick Privat, Martin Strugarek, Nicolas Vauchelet, Jorge Zubelli. Proceedings Cemracs, 2019.
Optimal control of resources for species survival
Idriss Mazari, Grégoire Nadin and Yannick Privat. Proceedings in Applied Mathematics and Mechanics (89th GAMM Annual Meeting, Munich, Germany), 2018.
Optimal location of sensors and actuators for wave and heat processes
Yannick Privat, Emmanuel Trélat and Enrique Zuazua. Séminaires & congrès, Collection SMF (2017), no. 30, 123--139.
An optimal control approach to Photoacoustic Tomography
Maitine Bergounioux, Thomas Haberkorn and Yannick Privat. Proceedings of the 55th IEEE Conference on Decision and Control, Las Vegas, USA, 2016.
On some shape and topology optimization problems in conductive and convective heat transfers
Gilles Marck and Yannick Privat. OPTI 2014. Kos Island, Greece, 4-6, June 2014
Optimal design of boundary observers for the wave equation
Pierre Jounieaux, Yannick Privat and Emmanuel Trélat. ESAIM Proc. 45 (2014), 475--484.
Optimal shape and location of sensors or actuators in PDE models
Yannick Privat, Emmanuel Trélat and Enrique Zuazua. Proceedings of the 2014 American Control Conference, Portland, Oregon, USA.
Shape dependent controllability of a quantum transistor
Florian Méhats, Yannick Privat and Mario Sigalotti. Proceedings of the 52th IEEE Conference on Decision and Control, Florence, Italy, 2013.
Optimal sensor location for wave and Schrödinger equations
Yannick Privat, Emmanuel Trélat and Enrique Zuazua. Proceedings HYP 2012 conference (2012).
On the best observation of wave and Schrödinger equations in quantum ergodic billiards
Yannick Privat, Emmanuel Trélat and Enrique Zuazua. Proceedings of the 39th "Days on PDEs" (Biarritz).
Looking for the optimal shape of an axon
Antoine Henrot and Yannick Privat, Actes de la conférence NeuroComp 2006, Pont-à-Mousson, Octobre 2006, pages 175-178.

Habilitation à Diriger les Recherches (HDR, novembre 2014)

Optimisation de forme et application à l'observation et au contrôle d'équations aux dérivées partielles

Thèse (octobre 2008)

Quelques problèmes d'optimisation de formes en sciences du vivant