Humbert, Emmanuel; Privat, Yannick; Trélat, Emmanuel Quantum limits on product manifolds. (English) Zbl 1516.58010 Indiana Univ. Math. J. 72, No. 2, 757-783 (2023). Reviewer: Mostafa Sabri (Abu Dhabi) MSC: 58J50 58C40 PDFBibTeX XMLCite \textit{E. Humbert} et al., Indiana Univ. Math. J. 72, No. 2, 757--783 (2023; Zbl 1516.58010) Full Text: DOI arXiv
Almeida, Luis; Bellver Arnau, Jesús; Privat, Yannick Optimal control strategies for bistable ODE equations: application to mosquito population replacement. (English) Zbl 1504.92176 Appl. Math. Optim. 87, No. 1, Paper No. 10, 44 p. (2023). MSC: 92D45 92D25 49J15 PDFBibTeX XMLCite \textit{L. Almeida} et al., Appl. Math. Optim. 87, No. 1, Paper No. 10, 44 p. (2023; Zbl 1504.92176) Full Text: DOI
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
Delyon, Alexandre; Henrot, Antoine; Privat, Yannick The missing \((A,D,r)\) diagram. (Le diagramme \((A,D,r)\) manquant.) (English. French summary) Zbl 1497.49053 Ann. Inst. Fourier 72, No. 5, 1941-1992 (2022). MSC: 49Q10 52A40 28A75 49K15 PDFBibTeX XMLCite \textit{A. Delyon} et al., Ann. Inst. Fourier 72, No. 5, 1941--1992 (2022; Zbl 1497.49053) Full Text: DOI arXiv
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
Mazari, Idriss; Nadin, Grégoire; Privat, Yannick Shape optimization of a weighted two-phase Dirichlet eigenvalue. (English) Zbl 1480.49047 Arch. Ration. Mech. Anal. 243, No. 1, 95-137 (2022). MSC: 49R05 49Q10 47J10 92D25 PDFBibTeX XMLCite \textit{I. Mazari} et al., Arch. Ration. Mech. Anal. 243, No. 1, 95--137 (2022; Zbl 1480.49047) Full Text: DOI arXiv
Almeida, Luis; Duprez, Michel; Privat, Yannick; Vauchelet, Nicolas Optimal control strategies for the sterile mosquitoes technique. (English) Zbl 1480.92161 J. Differ. Equations 311, 229-266 (2022). MSC: 92D25 92D30 49K15 65K10 PDFBibTeX XMLCite \textit{L. Almeida} et al., J. Differ. Equations 311, 229--266 (2022; Zbl 1480.92161) Full Text: DOI arXiv
Duprez, Michel; Hélie, Romane; Privat, Yannick; Vauchelet, Nicolas Optimization of spatial control strategies for population replacement, application to Wolbachia. (English) Zbl 1471.92250 ESAIM, Control Optim. Calc. Var. 27, Paper No. 74, 30 p. (2021). MSC: 92D25 92D45 49K15 65K10 PDFBibTeX XMLCite \textit{M. Duprez} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. 74, 30 p. (2021; Zbl 1471.92250) Full Text: DOI arXiv
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
Almeida, Luis; Duprez, Michel; Privat, Yannick; Vauchelet, Nicolas Mosquito population control strategies for fighting against arboviruses. (English) Zbl 1470.92276 Math. Biosci. Eng. 16, No. 6, 6274-6297 (2019). MSC: 92D30 49J15 PDFBibTeX XMLCite \textit{L. Almeida} et al., Math. Biosci. Eng. 16, No. 6, 6274--6297 (2019; Zbl 1470.92276) Full Text: DOI
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
Almeida, Luis; Privat, Yannick; Strugarek, Martin; Vauchelet, Nicolas Optimal releases for population replacement strategies: application to Wolbachia. (English) Zbl 1421.92029 SIAM J. Math. Anal. 51, No. 4, 3170-3194 (2019). MSC: 92D30 49K15 49J30 PDFBibTeX XMLCite \textit{L. Almeida} et al., SIAM J. Math. Anal. 51, No. 4, 3170--3194 (2019; Zbl 1421.92029) Full Text: DOI arXiv
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
Bonnivard, Matthieu; Omnès, Florian; Privat, Yannick Modeling and optimization of hourglass-shaped aquaporins. (English) Zbl 1401.92074 Math. Models Methods Appl. Sci. 28, No. 8, 1529-1564 (2018). MSC: 92C40 92C37 49Q10 76D05 92C35 76Z05 PDFBibTeX XMLCite \textit{M. Bonnivard} et al., Math. Models Methods Appl. Sci. 28, No. 8, 1529--1564 (2018; Zbl 1401.92074) Full Text: DOI
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
Liard, Thibault; Lissy, Pierre; Privat, Yannick Non-localization of eigenfunctions for Sturm-Liouville operators and applications. (English) Zbl 1382.49017 J. Differ. Equations 264, No. 4, 2449-2494 (2018). Reviewer: Vladimir Jacimovic (Podgorica) MSC: 49K15 47A75 49J20 93B07 93B05 34B24 PDFBibTeX XMLCite \textit{T. Liard} et al., J. Differ. Equations 264, No. 4, 2449--2494 (2018; Zbl 1382.49017) Full Text: DOI
Caubet, Fabien; Deheuvels, Thibaut; Privat, Yannick Optimal location of resources for biased movement of species: the 1D case. (English) Zbl 1378.49055 SIAM J. Appl. Math. 77, No. 6, 1876-1903 (2017). MSC: 49R05 49J15 49K20 34B09 34L15 49J30 92D25 PDFBibTeX XMLCite \textit{F. Caubet} et al., SIAM J. Appl. Math. 77, No. 6, 1876--1903 (2017; Zbl 1378.49055) Full Text: DOI arXiv
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
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
Lamboley, Jimmy; Laurain, Antoine; Nadin, Grégoire; Privat, Yannick Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions. (English) Zbl 1366.49004 Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 144, 37 p. (2016). Reviewer: Igor Bock (Bratislava) MSC: 49J15 49K20 49Q10 49R05 49M05 PDFBibTeX XMLCite \textit{J. Lamboley} et al., Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 144, 37 p. (2016; Zbl 1366.49004) Full Text: DOI arXiv
Nadin, Grégoire; Privat, Yannick An extremal eigenvalue problem arising in heat conduction. (English. French summary) Zbl 1339.49036 J. Math. Pures Appl. (9) 105, No. 6, 845-872 (2016). MSC: 49Q10 49R05 49J15 49K15 34B24 34E05 80A20 PDFBibTeX XMLCite \textit{G. Nadin} and \textit{Y. Privat}, J. Math. Pures Appl. (9) 105, No. 6, 845--872 (2016; Zbl 1339.49036) Full Text: DOI
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 Complexity and regularity of maximal energy domains for the wave equation with fixed initial data. (English) Zbl 1332.93069 Discrete Contin. Dyn. Syst. 35, No. 12, 6133-6153 (2015). MSC: 93B07 49K20 49Q10 PDFBibTeX XMLCite \textit{Y. Privat} et al., Discrete Contin. Dyn. Syst. 35, No. 12, 6133--6153 (2015; Zbl 1332.93069) 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
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
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
Henrot, Antoine; Privat, Yannick What is the optimal shape of a pipe? (English) Zbl 1304.76022 Arch. Ration. Mech. Anal. 196, No. 1, 281-302 (2010). MSC: 76D55 76D05 76M30 49J20 PDFBibTeX XMLCite \textit{A. Henrot} and \textit{Y. Privat}, Arch. Ration. Mech. Anal. 196, No. 1, 281--302 (2010; Zbl 1304.76022) Full Text: DOI arXiv
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