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## Privat, Yannick

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 Author ID: privat.yannick Published as: Privat, Yannick External Links: MGP · Wikidata
 Documents Indexed: 41 Publications since 2007
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#### Co-Authors

 1 single-authored 14 Trélat, Emmanuel 8 Zuazua, Enrique 4 Henrot, Antoine 4 Nadin, Grégoire 3 Bergounioux, Maïtine 3 Sigalotti, Mario 2 Bretin, Elie 2 Laurain, Antoine 2 Liard, Thibault 2 Lissy, Pierre 2 Strugarek, Martin 2 Vauchelet, Nicolas 1 Alabau-Boussouira, Fatiha 1 Almeida, Luis A. F. 1 Almeida, Luis Tadeu 1 Bonnefond, Xavier 1 Bonnivard, Matthieu 1 Caubet, Fabien 1 Deheuvels, Thibaut 1 Delyon, Alexandre 1 Dubois de La Sablonière, Xavier 1 Fischer, Yannick 1 Haberkorn, Thomas 1 Haddon, Antoine 1 Haraux, Alain 1 Humbert, Emmanuel 1 Jounieaux, Pierre 1 Kermorvant, Claire 1 Labbé, Stéphane 1 Lamboley, Jimmy 1 Léculier, Alexis 1 Lindgren, Erik 1 Lucas, Carine 1 Marck, Gilles 1 Marteau, Benjamin 1 Mauroy, Benjamin 1 Mazari, Idriss 1 Méhats, Florian 1 Omnès, Florian 1 Simpore, Yacouba 1 Zubelli, Jorge P.
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#### Serials

 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 SIAM Journal on Control and Optimization 3 SIAM Journal on Applied Mathematics 2 Archive for Rational Mechanics and Analysis 2 Inverse Problems 2 Journal of Differential Equations 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Applied Mathematics and Optimization 1 Journal of Functional Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 The Journal of Fourier Analysis and Applications 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis
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#### Fields

 31 Calculus of variations and optimal control; optimization (49-XX) 30 Partial differential equations (35-XX) 17 Systems theory; control (93-XX) 10 Biology and other natural sciences (92-XX) 4 Ordinary differential equations (34-XX) 4 Fluid mechanics (76-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH

29 Publications have been cited 180 times in 118 Documents Cited by Year
Optimal shape and location of sensors for parabolic equations with random initial data. Zbl 1319.35272
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2015
Optimal observation of the one-dimensional wave equation. Zbl 1302.93052
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2013
Optimal location of controllers for the one-dimensional wave equation. Zbl 1296.49004
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2013
Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. Zbl 1338.35320
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2016
Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. Zbl 1332.93069
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2015
Nonlinear damped partial differential equations and their uniform discretizations. Zbl 1364.37155
Alabau-Boussouira, Fatiha; Privat, Yannick; Trélat, Emmanuel
2017
Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions. Zbl 1366.49004
Lamboley, Jimmy; Laurain, Antoine; Nadin, Grégoire; Privat, Yannick
2016
What is the optimal shape of a pipe? Zbl 1304.76022
Henrot, Antoine; Privat, Yannick
2010
An optimal control problem in photoacoustic tomography. Zbl 1298.49054
Bergounioux, Maïtine; Bonnefond, Xavier; Haberkorn, Thomas; Privat, Yannick
2014
The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent. Zbl 1203.35005
Privat, Yannick; Sigalotti, Mario
2010
Stability properties of steady-states for a network of ferromagnetic nanowires. Zbl 1247.35173
Labbé, Stéphane; Privat, Yannick; Trélat, Emmanuel
2012
Actuator design for parabolic distributed parameter systems with the moment method. Zbl 1361.49020
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2017
On the controllability of quantum transport in an electronic nanostructure. Zbl 1326.37013
Méhats, Florian; Privat, Yannick; Sigalotti, Mario
2014
Erratum of “The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent”. Zbl 1206.35181
Privat, Yannick; Sigalotti, Mario
2010
How to estimate observability constants of one-dimensional wave equations? Propagation versus spectral methods. Zbl 1377.35185
Haraux, Alain; Liard, Thibault; Privat, Yannick
2016
How to position sensors in thermo-acoustic tomography. Zbl 1418.92068
Bergounioux, Maïtine; Bretin, Élie; Privat, Yannick
2019
Some inverse problems around the tokamak Tore Supra. Zbl 1267.30107
Fischer, Yannick; Marteau, Benjamin; Privat, Yannick
2012
On a Bernoulli problem with geometric constraints. Zbl 1337.49004
Laurain, Antoine; Privat, Yannick
2012
Shape minimization of the dissipated energy in dyadic trees. Zbl 1232.49027
Dubois de La Sablonière, Xavier; Mauroy, Benjamin; Privat, Yannick
2011
The optimal shape of a dendrite sealed at both ends. Zbl 1188.49045
Privat, Yannick
2009
A cylindrical pipe is not optimal to minimize the energy dissipated by a fluid. Zbl 1156.35444
Henrot, Antoine; Privat, Yannick
2008
Shape minimization of dendritic attenuation. Zbl 1133.92003
Henrot, Antoine; Privat, Yannick
2008
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. Zbl 1410.35090
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2019
A time reversal algorithm in acoustic media with Dirac measure approximations. Zbl 1388.35221
Bretin, Élie; Lucas, Carine; Privat, Yannick
2018
Optimal location of resources for biased movement of species: the 1D case. Zbl 1378.49055
Caubet, Fabien; Deheuvels, Thibaut; Privat, Yannick
2017
Optimal design of sensors for a damped wave equation. Zbl 1381.93027
Trélat, Emmanuel; Privat, Yannick
2015
What Is the optimal shape of a fin for one-dimensional heat conduction? Zbl 1302.49062
Marck, Gilles; Nadin, Grégoire; Privat, Yannick
2014
Shape optimization with Stokes constraints over the set of axisymmetric domains. Zbl 1263.49050
Bergounioux, Maitine; Privat, Yannick
2013
A free boundary problem for the Laplacian with a constant Bernoulli-type boundary condition. Zbl 1123.35092
Lindgren, Erik; Privat, Yannick
2007
How to position sensors in thermo-acoustic tomography. Zbl 1418.92068
Bergounioux, Maïtine; Bretin, Élie; Privat, Yannick
2019
Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. Zbl 1410.35090
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2019
A time reversal algorithm in acoustic media with Dirac measure approximations. Zbl 1388.35221
Bretin, Élie; Lucas, Carine; Privat, Yannick
2018
Nonlinear damped partial differential equations and their uniform discretizations. Zbl 1364.37155
Alabau-Boussouira, Fatiha; Privat, Yannick; Trélat, Emmanuel
2017
Actuator design for parabolic distributed parameter systems with the moment method. Zbl 1361.49020
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2017
Optimal location of resources for biased movement of species: the 1D case. Zbl 1378.49055
Caubet, Fabien; Deheuvels, Thibaut; Privat, Yannick
2017
Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. Zbl 1338.35320
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2016
Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions. Zbl 1366.49004
Lamboley, Jimmy; Laurain, Antoine; Nadin, Grégoire; Privat, Yannick
2016
How to estimate observability constants of one-dimensional wave equations? Propagation versus spectral methods. Zbl 1377.35185
Haraux, Alain; Liard, Thibault; Privat, Yannick
2016
Optimal shape and location of sensors for parabolic equations with random initial data. Zbl 1319.35272
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2015
Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. Zbl 1332.93069
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2015
Optimal design of sensors for a damped wave equation. Zbl 1381.93027
Trélat, Emmanuel; Privat, Yannick
2015
An optimal control problem in photoacoustic tomography. Zbl 1298.49054
Bergounioux, Maïtine; Bonnefond, Xavier; Haberkorn, Thomas; Privat, Yannick
2014
On the controllability of quantum transport in an electronic nanostructure. Zbl 1326.37013
Méhats, Florian; Privat, Yannick; Sigalotti, Mario
2014
What Is the optimal shape of a fin for one-dimensional heat conduction? Zbl 1302.49062
Marck, Gilles; Nadin, Grégoire; Privat, Yannick
2014
Optimal observation of the one-dimensional wave equation. Zbl 1302.93052
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2013
Optimal location of controllers for the one-dimensional wave equation. Zbl 1296.49004
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique
2013
Shape optimization with Stokes constraints over the set of axisymmetric domains. Zbl 1263.49050
Bergounioux, Maitine; Privat, Yannick
2013
Stability properties of steady-states for a network of ferromagnetic nanowires. Zbl 1247.35173
Labbé, Stéphane; Privat, Yannick; Trélat, Emmanuel
2012
Some inverse problems around the tokamak Tore Supra. Zbl 1267.30107
Fischer, Yannick; Marteau, Benjamin; Privat, Yannick
2012
On a Bernoulli problem with geometric constraints. Zbl 1337.49004
Laurain, Antoine; Privat, Yannick
2012
Shape minimization of the dissipated energy in dyadic trees. Zbl 1232.49027
Dubois de La Sablonière, Xavier; Mauroy, Benjamin; Privat, Yannick
2011
What is the optimal shape of a pipe? Zbl 1304.76022
Henrot, Antoine; Privat, Yannick
2010
The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent. Zbl 1203.35005
Privat, Yannick; Sigalotti, Mario
2010
Erratum of “The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent”. Zbl 1206.35181
Privat, Yannick; Sigalotti, Mario
2010
The optimal shape of a dendrite sealed at both ends. Zbl 1188.49045
Privat, Yannick
2009
A cylindrical pipe is not optimal to minimize the energy dissipated by a fluid. Zbl 1156.35444
Henrot, Antoine; Privat, Yannick
2008
Shape minimization of dendritic attenuation. Zbl 1133.92003
Henrot, Antoine; Privat, Yannick
2008
A free boundary problem for the Laplacian with a constant Bernoulli-type boundary condition. Zbl 1123.35092
Lindgren, Erik; Privat, Yannick
2007
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#### Cited by 186 Authors

 25 Privat, Yannick 14 Trélat, Emmanuel 10 Zuazua, Enrique 4 Cavalcanti, Marcelo Moreira 4 Domingos Cavalcanti, Valéria Neves 4 Dubey, Shruti A. 4 Dwivedi, Sharad 4 Kunisch, Karl 4 Yang, Donghui 3 Beauchard, Karine 3 Bergounioux, Maïtine 3 Boscain, Ugo 3 Guo, Bao-Zhu 3 Henrot, Antoine 3 Laurent, Camille 3 Morris, Kirsten A. 3 Nadin, Grégoire 3 Nersesyan, Vahagn 3 Pellacci, Benedetta 3 Rodrigues, Sérgio S. 3 Sigalotti, Mario 3 Verzini, Gianmaria 2 Allaire, Grégoire 2 Bretin, Elie 2 Caponigro, Marco 2 Chaabi, Slah 2 Dapogny, Charles 2 Fardigola, Larissa V. 2 Kalise, Dante 2 Kasumba, Henry 2 Komornik, Vilmos 2 Laurain, Antoine 2 Léautaud, Matthieu 2 Liard, Thibault 2 Lissy, Pierre 2 Liu, Jun 2 Martinez, Patrick 2 Martinez, V. H. Gonzalez 2 Mazzoleni, Dario 2 Morancey, Morgan 2 Sturm, Kevin 2 Vancostenoble, Judith 2 Vicente, André 2 Wang, Gengsheng 2 Waters, Alden 2 Xu, Yashan 2 Zhong, Jie 1 Akhouayri, Hassan 1 Alabau-Boussouira, Fatiha 1 Alberti, Giovanni S. 1 Ali, M. Montaz 1 Alla, Alessandro 1 Almeida, Luis Tadeu 1 Amadori, Debora 1 Ammari, Habib M. 1 Anantharaman, Nalini 1 Apte, Amit 1 Aqel, Fatima Al-Zahra’ 1 Arab, Fatima 1 Astudillo Rojas, Maria R. 1 Astudillo, Maria 1 Auroux, Didier 1 Azegami, Hideyuki 1 Azmi, Behzad 1 Ballarin, Francesco 1 Baratchart, Laurent 1 Blauth, Sebastian 1 Bongini, Mattia 1 Bonnivard, Matthieu 1 Borichev, Aleksandr Aleksandrovich 1 Cannarsa, Piermarco 1 Caubet, Fabien 1 Chambrion, Thomas 1 Chaves-Silva, Felipe Wallison 1 Choi, Patrick 1 Chow, Amenda N. F. 1 Clason, Christian 1 Coron, Jean-Michel 1 Da Silva, Anabela 1 Dal Santo, Edda 1 Deheuvels, Thibaut 1 Dias Silva, Flávio Roberto 1 Duan, Xianbao 1 Duteil, Nastassia Pouradier 1 Edalatzadeh, Mohammad Sajjad 1 Eigel, Martin 1 Elbau, Peter 1 Emamizadeh, Behrouz 1 Falcone, Maurizio 1 Feppon, Florian 1 Fornasier, Massimo 1 Frederick, Christina 1 Fukuoka, Ryuichi 1 Gagnon, Ludovick 1 Gimperlein, Heiko 1 Glowinski, Roland 1 Hajjej, Zayd 1 Haltmeier, Markus 1 Hao, Jianghao 1 Haraux, Alain ...and 86 more Authors
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#### Cited in 57 Serials

 11 SIAM Journal on Control and Optimization 9 Journal of Differential Equations 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Mathematical Control and Related Fields 4 Evolution Equations and Control Theory 3 Archive for Rational Mechanics and Analysis 3 Inverse Problems 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 SIAM Journal on Applied Mathematics 3 Computational Optimization and Applications 3 Calculus of Variations and Partial Differential Equations 3 Journal of the European Mathematical Society (JEMS) 2 Journal of Mathematical Analysis and Applications 2 Nonlinearity 2 Journal of Optimization Theory and Applications 2 Systems & Control Letters 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Discrete and Continuous Dynamical Systems 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications in Mathematical Physics 1 International Journal of Control 1 Journal of Computational Physics 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Optimization 1 Automatica 1 Inventiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Applied Numerical Mathematics 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Journal on Scientific Computing 1 Computational and Applied Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 The Journal of Fourier Analysis and Applications 1 Journal of Applied Analysis 1 Differential Equations and Dynamical Systems 1 Optimization Methods & Software 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Inverse Problems and Imaging 1 SIAM Journal on Imaging Sciences 1 Analysis & PDE 1 Journal of Optimization 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Pure and Applied Analysis 1 SMAI Journal of Computational Mathematics
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#### Cited in 26 Fields

 81 Partial differential equations (35-XX) 56 Systems theory; control (93-XX) 54 Calculus of variations and optimal control; optimization (49-XX) 15 Numerical analysis (65-XX) 13 Fluid mechanics (76-XX) 12 Biology and other natural sciences (92-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Mechanics of deformable solids (74-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Ordinary differential equations (34-XX) 5 Operator theory (47-XX) 5 Operations research, mathematical programming (90-XX) 4 Quantum theory (81-XX) 3 Optics, electromagnetic theory (78-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX)

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