Ervedoza, Sylvain; Lissy, Pierre; Privat, Yannick Desensitizing control for the heat equation with respect to domain variations. (Contrôle désensibilisant pour l’équation de la chaleur par rapport à des variations du domaine.) (English. French summary) Zbl 1517.35232 J. Éc. Polytech., Math. 9, 1397-1429 (2022). MSC: 35Q93 35Q79 35K05 35K20 35D30 47H10 49K20 49Q10 93B05 93C20 PDFBibTeX XMLCite \textit{S. Ervedoza} et al., J. Éc. Polytech., Math. 9, 1397--1429 (2022; Zbl 1517.35232) Full Text: DOI
Braida, B.; Dalphin, J.; Dapogny, C.; Frey, P.; Privat, Y. Shape and topology optimization for maximum probability domains in quantum chemistry. (English) Zbl 1497.35400 Numer. Math. 151, No. 4, 1017-1064 (2022). MSC: 35Q40 35Q55 35P20 93B07 58J51 49J45 49K20 49Q10 35A01 35A02 65M50 35R60 PDFBibTeX XMLCite \textit{B. Braida} et al., Numer. Math. 151, No. 4, 1017--1064 (2022; Zbl 1497.35400) Full Text: DOI
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate. (English) Zbl 1492.35374 Commun. Partial Differ. Equations 47, No. 4, 797-828 (2022). MSC: 35Q92 92D25 92D40 49J30 49Q10 49M41 35B44 35B36 PDFBibTeX XMLCite \textit{I. Mazari} et al., Commun. Partial Differ. Equations 47, No. 4, 797--828 (2022; Zbl 1492.35374) Full Text: DOI arXiv
Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel Geometric and probabilistic results for the observability of the wave equation. (Résultats géométriques et probabilistes pour l’observabilité de l’équation des ondes.) (English. French summary) Zbl 1485.93086 J. Éc. Polytech., Math. 9, 431-461 (2022). MSC: 93B07 93C20 35L05 53C22 60B10 PDFBibTeX XMLCite \textit{E. Humbert} et al., J. Éc. Polytech., Math. 9, 431--461 (2022; Zbl 1485.93086) Full Text: DOI
Henrot, Antoine; Mazari, Idriss; Privat, Yannick Shape optimization of a Dirichlet type energy for semilinear elliptic partial differential equations. (English) Zbl 1467.49034 ESAIM, Control Optim. Calc. Var. 27, Suppl., Paper No. S6, 32 p. (2021). MSC: 49Q10 35J61 PDFBibTeX XMLCite \textit{A. Henrot} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. S6, 32 p. (2021; Zbl 1467.49034) Full Text: DOI arXiv HAL
Courtais, Alexis; Latifi, Abderrazak M.; Lesage, François; Privat, Yannick Shape optimization of fixed-bed reactors in process engineering. (English) Zbl 1467.49043 SIAM J. Appl. Math. 81, No. 3, 1141-1165 (2021). MSC: 49S05 49M05 65K10 35Q30 49Q10 PDFBibTeX XMLCite \textit{A. Courtais} et al., SIAM J. Appl. Math. 81, No. 3, 1141--1165 (2021; Zbl 1467.49043) Full Text: DOI
Alberti, Giovanni S.; Capdeboscq, Yves; Privat, Yannick On the randomised stability constant for inverse problems. (English) Zbl 1487.35434 Math. Eng. (Springfield) 2, No. 2, 264-286 (2020). MSC: 35R30 35L20 93B07 PDFBibTeX XMLCite \textit{G. S. Alberti} et al., Math. Eng. (Springfield) 2, No. 2, 264--286 (2020; Zbl 1487.35434) Full Text: DOI arXiv
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick Optimal location of resources maximizing the total population size in logistic models. (English. French summary) Zbl 1433.92038 J. Math. Pures Appl. (9) 134, 1-35 (2020). Reviewer: Attila Dénes (Szeged) MSC: 92D25 49K20 35Q92 PDFBibTeX XMLCite \textit{I. Mazari} et al., J. Math. Pures Appl. (9) 134, 1--35 (2020; Zbl 1433.92038) Full Text: DOI arXiv
Lissy, Pierre; Privat, Yannick; Simporé, Yacouba Insensitizing control for linear and semi-linear heat equations with partially unknown domain. (English) Zbl 1442.93009 ESAIM, Control Optim. Calc. Var. 25, Paper No. 50, 21 p. (2019). MSC: 93B05 35K20 35K91 49K20 93C20 PDFBibTeX XMLCite \textit{P. Lissy} et al., ESAIM, Control Optim. Calc. Var. 25, Paper No. 50, 21 p. (2019; Zbl 1442.93009) Full Text: DOI HAL
Bergounioux, Maïtine; Bretin, Élie; Privat, Yannick How to position sensors in thermo-acoustic tomography. (English) Zbl 1418.92068 Inverse Probl. 35, No. 7, Article ID 074003, 25 p. (2019). MSC: 92C55 35Q92 49N90 PDFBibTeX XMLCite \textit{M. Bergounioux} et al., Inverse Probl. 35, No. 7, Article ID 074003, 25 p. (2019; Zbl 1418.92068) Full Text: DOI arXiv
Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel Observability properties of the homogeneous wave equation on a closed manifold. (English) Zbl 1429.35144 Commun. Partial Differ. Equations 44, No. 9, 749-772 (2019). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35L15 35L05 93C20 93B07 93B27 35R01 PDFBibTeX XMLCite \textit{E. Humbert} et al., Commun. Partial Differ. Equations 44, No. 9, 749--772 (2019; Zbl 1429.35144) Full Text: DOI arXiv
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique Spectral shape optimization for the Neumann traces of the Dirichlet-Laplacian eigenfunctions. (English) Zbl 1410.35090 Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 64, 45 p. (2019). Reviewer: Dian K. Palagachev (Bari) MSC: 35P20 93B07 58J51 49K20 PDFBibTeX XMLCite \textit{Y. Privat} et al., Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 64, 45 p. (2019; Zbl 1410.35090) Full Text: DOI arXiv
Bretin, Élie; Lucas, Carine; Privat, Yannick A time reversal algorithm in acoustic media with Dirac measure approximations. (English) Zbl 1388.35221 Inverse Probl. 34, No. 4, Article ID 045004, 24 p. (2018). MSC: 35R30 35Q35 92C55 PDFBibTeX XMLCite \textit{É. Bretin} et al., Inverse Probl. 34, No. 4, Article ID 045004, 24 p. (2018; Zbl 1388.35221) Full Text: DOI HAL
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique Optimal location of sensors and actuators for wave and heat processes. (English) Zbl 1373.49039 Ammari, Kaïs (ed.) et al., PDE’s, dispersion, scattering theory and control theory. Paris: Société Mathématique de France (ISBN 978-2-85629-858-9/pbk). Séminaires et Congrès 30, 123-139 (2017). MSC: 49N35 35L20 49J20 PDFBibTeX XMLCite \textit{Y. Privat} et al., Sémin. Congr. 30, 123--139 (2017; Zbl 1373.49039)
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique Actuator design for parabolic distributed parameter systems with the moment method. (English) Zbl 1361.49020 SIAM J. Control Optim. 55, No. 2, 1128-1152 (2017). MSC: 49Q10 93B07 35L05 49K20 42B37 PDFBibTeX XMLCite \textit{Y. Privat} et al., SIAM J. Control Optim. 55, No. 2, 1128--1152 (2017; Zbl 1361.49020) Full Text: DOI arXiv
Alabau-Boussouira, Fatiha; Privat, Yannick; Trélat, Emmanuel Nonlinear damped partial differential equations and their uniform discretizations. (English) Zbl 1364.37155 J. Funct. Anal. 273, No. 1, 352-403 (2017). MSC: 37L15 93D15 35B35 35L60 35L70 PDFBibTeX XMLCite \textit{F. Alabau-Boussouira} et al., J. Funct. Anal. 273, No. 1, 352--403 (2017; Zbl 1364.37155) Full Text: DOI arXiv
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique Randomised observation, control and stabilization of waves. (English) Zbl 07775045 ZAMM, Z. Angew. Math. Mech. 96, No. 5, 538-549 (2016). MSC: 93B07 49K20 93C20 35L05 PDFBibTeX XMLCite \textit{Y. Privat} et al., ZAMM, Z. Angew. Math. Mech. 96, No. 5, 538--549 (2016; Zbl 07775045) Full Text: DOI
Haraux, Alain; Liard, Thibault; Privat, Yannick How to estimate observability constants of one-dimensional wave equations? Propagation versus spectral methods. (English) Zbl 1377.35185 J. Evol. Equ. 16, No. 4, 825-856 (2016). Reviewer: Vyacheslav I. Maksimov (Ekaterinburg) MSC: 35L05 93B07 35Q93 35B35 PDFBibTeX XMLCite \textit{A. Haraux} et al., J. Evol. Equ. 16, No. 4, 825--856 (2016; Zbl 1377.35185) Full Text: DOI HAL
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique Optimal observability of the multi-dimensional wave and Schrödinger equations in quantum ergodic domains. (English) Zbl 1338.35320 J. Eur. Math. Soc. (JEMS) 18, No. 5, 1043-1111 (2016). Reviewer: Christian Seifert (Hamburg) MSC: 35P20 93B07 58J51 49K20 PDFBibTeX XMLCite \textit{Y. Privat} et al., J. Eur. Math. Soc. (JEMS) 18, No. 5, 1043--1111 (2016; Zbl 1338.35320) Full Text: DOI arXiv
Trélat, Emmanuel; Privat, Yannick Optimal design of sensors for a damped wave equation. (English) Zbl 1381.93027 Discrete Contin. Dyn. Syst. 2015, Suppl., 936-944 (2015). MSC: 93B07 35L20 35P20 49K45 93B51 93C20 58J51 49K20 PDFBibTeX XMLCite \textit{E. Trélat} and \textit{Y. Privat}, Discrete Contin. Dyn. Syst. 2015, 936--944 (2015; Zbl 1381.93027) Full Text: DOI
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique Optimal shape and location of sensors for parabolic equations with random initial data. (English) Zbl 1319.35272 Arch. Ration. Mech. Anal. 216, No. 3, 921-981 (2015). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q90 80A20 35K10 93B07 90C15 49Q10 PDFBibTeX XMLCite \textit{Y. Privat} et al., Arch. Ration. Mech. Anal. 216, No. 3, 921--981 (2015; Zbl 1319.35272) Full Text: DOI arXiv Link
Privat, Yannick; Trélat, Emmanuel Control and stabilization of steady-states in a finite-length ferromagnetic nanowire. (English) Zbl 1351.78007 ESAIM, Control Optim. Calc. Var. 21, No. 2, 301-323 (2015). Reviewer: Vladimir Čadež (Beograd) MSC: 78A25 35F30 82D77 35Q60 93B52 PDFBibTeX XMLCite \textit{Y. Privat} and \textit{E. Trélat}, ESAIM, Control Optim. Calc. Var. 21, No. 2, 301--323 (2015; Zbl 1351.78007) Full Text: DOI
Jounieaux, Pierre; Privat, Yannick; Trélat, Emmanuel Optimal design of boundary observers for the wave equation. (English) Zbl 1331.35212 ESAIM, Proc. Surv. 45, 475-484 (2014). MSC: 35L20 35Q93 35R30 93B07 PDFBibTeX XMLCite \textit{P. Jounieaux} et al., ESAIM, Proc. Surv. 45, 475--484 (2014; Zbl 1331.35212) Full Text: DOI
Méhats, Florian; Privat, Yannick; Sigalotti, Mario On the controllability of quantum transport in an electronic nanostructure. (English) Zbl 1326.37013 SIAM J. Appl. Math. 74, No. 6, 1870-1894 (2014). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 37C20 35Q40 82D80 82D37 PDFBibTeX XMLCite \textit{F. Méhats} et al., SIAM J. Appl. Math. 74, No. 6, 1870--1894 (2014; Zbl 1326.37013) Full Text: DOI arXiv
Bergounioux, Maïtine; Bonnefond, Xavier; Haberkorn, Thomas; Privat, Yannick An optimal control problem in photoacoustic tomography. (English) Zbl 1298.49054 Math. Models Methods Appl. Sci. 24, No. 12, 2525-2548 (2014). MSC: 49N45 49K20 35R30 35M33 80A23 93C20 92C55 PDFBibTeX XMLCite \textit{M. Bergounioux} et al., Math. Models Methods Appl. Sci. 24, No. 12, 2525--2548 (2014; Zbl 1298.49054) Full Text: DOI
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique Optimal observation of the one-dimensional wave equation. (English) Zbl 1302.93052 J. Fourier Anal. Appl. 19, No. 3, 514-544 (2013). MSC: 93B07 35L05 49K20 42B37 PDFBibTeX XMLCite \textit{Y. Privat} et al., J. Fourier Anal. Appl. 19, No. 3, 514--544 (2013; Zbl 1302.93052) Full Text: DOI Link
Privat, Yannick; Trélat, Emmanuel; Zuazua, Enrique Optimal location of controllers for the one-dimensional wave equation. (English) Zbl 1296.49004 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 6, 1097-1126 (2013). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 49J20 35L05 49J15 49Q10 49K35 PDFBibTeX XMLCite \textit{Y. Privat} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 30, No. 6, 1097--1126 (2013; Zbl 1296.49004) Full Text: DOI
Bergounioux, Maitine; Privat, Yannick Shape optimization with Stokes constraints over the set of axisymmetric domains. (English) Zbl 1263.49050 SIAM J. Control Optim. 51, No. 1, 599-628 (2013). MSC: 49Q10 49J20 49K20 35Q30 76D05 76D55 PDFBibTeX XMLCite \textit{M. Bergounioux} and \textit{Y. Privat}, SIAM J. Control Optim. 51, No. 1, 599--628 (2013; Zbl 1263.49050) Full Text: DOI
Fischer, Yannick; Marteau, Benjamin; Privat, Yannick Some inverse problems around the tokamak Tore Supra. (English) Zbl 1267.30107 Commun. Pure Appl. Anal. 11, No. 6, 2327-2349 (2012). MSC: 30H10 49J20 65N21 30H05 42A50 35N05 PDFBibTeX XMLCite \textit{Y. Fischer} et al., Commun. Pure Appl. Anal. 11, No. 6, 2327--2349 (2012; Zbl 1267.30107) Full Text: DOI arXiv
Labbé, Stéphane; Privat, Yannick; Trélat, Emmanuel Stability properties of steady-states for a network of ferromagnetic nanowires. (English) Zbl 1247.35173 J. Differ. Equations 253, No. 6, 1709-1728 (2012). MSC: 35Q82 35B35 82D37 PDFBibTeX XMLCite \textit{S. Labbé} et al., J. Differ. Equations 253, No. 6, 1709--1728 (2012; Zbl 1247.35173) Full Text: DOI
Laurain, Antoine; Privat, Yannick On a Bernoulli problem with geometric constraints. (English) Zbl 1337.49004 ESAIM, Control Optim. Calc. Var. 18, No. 1, 157-180 (2012). MSC: 49J10 35N25 35R35 PDFBibTeX XMLCite \textit{A. Laurain} and \textit{Y. Privat}, ESAIM, Control Optim. Calc. Var. 18, No. 1, 157--180 (2012; Zbl 1337.49004) Full Text: DOI arXiv EuDML
Dubois de La Sablonière, Xavier; Mauroy, Benjamin; Privat, Yannick Shape minimization of the dissipated energy in dyadic trees. (English) Zbl 1232.49027 Discrete Contin. Dyn. Syst., Ser. B 16, No. 3, 767-799 (2011). Reviewer: Nicolae Pop (Baia Mare) MSC: 49K30 35Q30 65K10 PDFBibTeX XMLCite \textit{X. Dubois de La Sablonière} et al., Discrete Contin. Dyn. Syst., Ser. B 16, No. 3, 767--799 (2011; Zbl 1232.49027) Full Text: DOI arXiv
Privat, Yannick; Sigalotti, Mario Erratum of “The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent”. (English) Zbl 1206.35181 ESAIM, Control Optim. Calc. Var. 16, No. 3, 806-807 (2010). MSC: 35P05 93C20 49K20 35-02 PDFBibTeX XMLCite \textit{Y. Privat} and \textit{M. Sigalotti}, ESAIM, Control Optim. Calc. Var. 16, No. 3, 806--807 (2010; Zbl 1206.35181) Full Text: DOI EuDML
Privat, Yannick; Sigalotti, Mario The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent. (English) Zbl 1203.35005 ESAIM, Control Optim. Calc. Var. 16, No. 3, 794-805 (2010); erratum ibid. 16, No. 3, 806-807 (2010). Reviewer: Sergei Yu. Pilyugin (St. Petersburg) MSC: 35-02 35P05 93C20 49K20 PDFBibTeX XMLCite \textit{Y. Privat} and \textit{M. Sigalotti}, ESAIM, Control Optim. Calc. Var. 16, No. 3, 794--805 (2010; Zbl 1203.35005) Full Text: DOI arXiv EuDML
Privat, Yannick The optimal shape of a dendrite sealed at both ends. (English) Zbl 1188.49045 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 6, 2317-2333 (2009). MSC: 49Q10 35P05 49R05 92C20 PDFBibTeX XMLCite \textit{Y. Privat}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 6, 2317--2333 (2009; Zbl 1188.49045) Full Text: DOI EuDML
Henrot, Antoine; Privat, Yannick A cylindrical pipe is not optimal to minimize the energy dissipated by a fluid. (Une conduite cylindrique n’est pas optimale pour minimiser l’énergie dissipée par un fluide.) (French. Abridged English version) Zbl 1156.35444 C. R., Math., Acad. Sci. Paris 346, No. 19-20, 1057-1061 (2008). MSC: 35Q30 49K20 76D55 PDFBibTeX XMLCite \textit{A. Henrot} and \textit{Y. Privat}, C. R., Math., Acad. Sci. Paris 346, No. 19--20, 1057--1061 (2008; Zbl 1156.35444) Full Text: DOI
Henrot, Antoine; Privat, Yannick Shape minimization of dendritic attenuation. (English) Zbl 1133.92003 Appl. Math. Optimization 57, No. 1, 1-16 (2008). MSC: 92C20 35Q92 65K10 49N90 PDFBibTeX XMLCite \textit{A. Henrot} and \textit{Y. Privat}, Appl. Math. Optim. 57, No. 1, 1--16 (2008; Zbl 1133.92003) Full Text: DOI arXiv
Lindgren, Erik; Privat, Yannick A free boundary problem for the Laplacian with a constant Bernoulli-type boundary condition. (English) Zbl 1123.35092 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 8, 2497-2505 (2007). MSC: 35R35 35J25 31B05 PDFBibTeX XMLCite \textit{E. Lindgren} and \textit{Y. Privat}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 8, 2497--2505 (2007; Zbl 1123.35092) Full Text: DOI