Bonnaillie-Noël, Virginie; Hérau, Frédéric; Raymond, Nicolas Purely magnetic tunneling effect in two dimensions. (English) Zbl 1483.35139 Invent. Math. 227, No. 2, 745-793 (2022). MSC: 35P05 35J10 35J25 81U26 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., Invent. Math. 227, No. 2, 745--793 (2022; Zbl 1483.35139) Full Text: DOI arXiv HAL
Abatangelo, Laura; Bonnaillie-Noël, Virginie; Léna, Corentin; Musolino, Paolo Asymptotic behavior of \(u\)-capacities and singular perturbations for the Dirichlet-Laplacian. (English) Zbl 1468.35100 ESAIM, Control Optim. Calc. Var. 27, Suppl., Paper No. S25, 43 p. (2021). MSC: 35P15 35P20 31C15 31B10 35B25 35C20 35J25 PDFBibTeX XMLCite \textit{L. Abatangelo} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. S25, 43 p. (2021; Zbl 1468.35100) Full Text: DOI arXiv
Bonnaillie-Noël, Virginie; Dalla Riva, Matteo; Dambrine, Marc; Musolino, Paolo Global representation and multiscale expansion for the Dirichlet problem in a domain with a small hole close to the boundary. (English) Zbl 1460.35078 Commun. Partial Differ. Equations 46, No. 2, 282-309 (2021). MSC: 35J05 35J25 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., Commun. Partial Differ. Equations 46, No. 2, 282--309 (2021; Zbl 1460.35078) Full Text: DOI HAL
Bonnaillie-Noël, Virginie; Poignard, Clair; Vial, Grégory Asymptotic expansions for the conductivity problem with nearly touching inclusions with corner. (Développement asymptotique pour le problème de cavité sur un domaine contenant des inclusions avec coins proches.) (English. French summary) Zbl 1444.35030 Ann. Henri Lebesgue 3, 381-406 (2020). MSC: 35J05 35J25 35C20 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., Ann. Henri Lebesgue 3, 381--406 (2020; Zbl 1444.35030) Full Text: DOI
Bonnaillie-Noël, Virginie; Dalla Riva, Matteo; Dambrine, Marc; Musolino, Paolo A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary. (English. French summary) Zbl 1398.35020 J. Math. Pures Appl. (9) 116, 211-267 (2018). Reviewer: Vladimir Mityushev (Kraków) MSC: 35J05 35J25 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., J. Math. Pures Appl. (9) 116, 211--267 (2018; Zbl 1398.35020) Full Text: DOI arXiv
Bogosel, Beniamin; Bonnaillie-Noël, Virginie Minimal partitions for \(p\)-norms of eigenvalues. (English) Zbl 1394.49039 Interfaces Free Bound. 20, No. 1, 129-163 (2018). MSC: 49Q10 65N06 35J05 65N25 PDFBibTeX XMLCite \textit{B. Bogosel} and \textit{V. Bonnaillie-Noël}, Interfaces Free Bound. 20, No. 1, 129--163 (2018; Zbl 1394.49039) Full Text: DOI arXiv
Bonnaillie-Noël, Virginie; Léna, Corentin Spectral minimal partitions for a family of tori. (English) Zbl 1379.49039 Exp. Math. 26, No. 4, 381-395 (2017). MSC: 49Q10 35J05 65K10 65N06 65N25 49R05 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} and \textit{C. Léna}, Exp. Math. 26, No. 4, 381--395 (2017; Zbl 1379.49039) Full Text: DOI arXiv
Bonnaillie-Noël, Virginie; Hérau, Frédéric; Raymond, Nicolas Semiclassical tunneling and magnetic flux effects on the circle. (English) Zbl 1373.35209 J. Spectr. Theory 7, No. 3, 771-796 (2017). MSC: 35P15 35J10 81Q10 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., J. Spectr. Theory 7, No. 3, 771--796 (2017; Zbl 1373.35209) Full Text: DOI arXiv
Bonnaillie-Noël, Virginie; Helffer, Bernard Nodal and spectral minimal partitions – The state of the art in 2016. (English) Zbl 1373.49050 Henrot, Antoine (ed.), Shape optimization and spectral theory. Berlin: De Gruyter (ISBN 978-3-11-055085-6/hbk; 978-3-11-055088-7/ebook). 353-397 (2017). Reviewer: Andrew Bucki (Edmond) MSC: 49Q10 35P15 92D25 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} and \textit{B. Helffer}, in: Shape optimization and spectral theory. Berlin: De Gruyter. 353--397 (2017; Zbl 1373.49050) Full Text: DOI arXiv
Bonnaillie-Noël, Virginie; Dauge, Monique; Popoff, Nicolas; Raymond, Nicolas Magnetic Laplacian in sharp three-dimensional cones. (English) Zbl 1402.81148 Mantoiu, Marius (ed.) et al., Spectral theory and mathematical physics. Proceedings of the conference, Santiago, Chile, November 2014. Basel: Birkhäuser/Springer (ISBN 978-3-319-29990-7/hbk; 978-3-319-29992-1/ebook). Operator Theory: Advances and Applications 254, 37-56 (2016). MSC: 81Q10 35J10 35P15 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., Oper. Theory: Adv. Appl. 254, 37--56 (2016; Zbl 1402.81148) Full Text: DOI arXiv
Bonnaillie-Noël, V.; Hérau, Frederic; Raymond, Nicolas Magnetic WKB constructions. (English) Zbl 1338.35379 Arch. Ration. Mech. Anal. 221, No. 2, 817-891 (2016). MSC: 35Q40 81Q20 35P05 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., Arch. Ration. Mech. Anal. 221, No. 2, 817--891 (2016; Zbl 1338.35379) Full Text: DOI arXiv
Bonnaillie-Noël, Virginie; Dauge, Monique; Popoff, Nicolas Ground state energy of the magnetic Laplacian on corner domains. (English. French summary) Zbl 1368.81072 Mém. Soc. Math. Fr., Nouv. Sér. 145, 1-138 (2016). Reviewer: Wencai Liu (Shanghai) MSC: 81Q10 35J10 35P15 47F05 81Q20 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., Mém. Soc. Math. Fr., Nouv. Sér. 145, 1--138 (2016; Zbl 1368.81072) Full Text: DOI arXiv
Bonnaillie-Noël, Virginie; Dambrine, Marc; Lacave, Christophe Interactions between moderately close inclusions for the two-dimensional Dirichlet-Laplacian. (English) Zbl 1338.35124 AMRX, Appl. Math. Res. Express 2016, No. 1, 1-23 (2016). Reviewer: Piotr Biler (Wrocław) MSC: 35J05 35J08 35C20 35B25 35B40 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., AMRX, Appl. Math. Res. Express 2016, No. 1, 1--23 (2016; Zbl 1338.35124) Full Text: DOI arXiv
Bonnaillie-Noël, V.; Raymond, N. Breaking a magnetic zero locus: model operators and numerical approach. (English) Zbl 1322.35096 ZAMM, Z. Angew. Math. Mech. 95, No. 2, 120-139 (2015). MSC: 35P05 35J10 35Q40 81Q10 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} and \textit{N. Raymond}, ZAMM, Z. Angew. Math. Mech. 95, No. 2, 120--139 (2015; Zbl 1322.35096) Full Text: DOI
Bonnaillie-Noël, V.; Raymond, N. Magnetic Neumann Laplacian on a sharp cone. (English) Zbl 1323.35111 Calc. Var. Partial Differ. Equ. 53, No. 1-2, 125-147 (2015). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P15 35J10 81Q10 81Q15 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} and \textit{N. Raymond}, Calc. Var. Partial Differ. Equ. 53, No. 1--2, 125--147 (2015; Zbl 1323.35111) Full Text: DOI arXiv
Bonnaillie-Noël, Virginie; Dambrine, Marc; Hérau, Frédéric; Vial, Grégory Artificial conditions for the linear elasticity equations. (English) Zbl 1321.35040 Math. Comput. 84, No. 294, 1599-1632 (2015). Reviewer: Marcelo M. Cavalcanti (Maringá) MSC: 35J47 35J57 35P10 35S15 47A10 47G30 65N20 35Q74 74B10 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., Math. Comput. 84, No. 294, 1599--1632 (2015; Zbl 1321.35040) Full Text: DOI
Bonnaillie-Noël, V.; Lacave, C.; Masmoudi, N. Permeability through a perforated domain for the incompressible 2D Euler equations. (English) Zbl 1318.35070 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 1, 159-182 (2015). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q31 35B27 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 1, 159--182 (2015; Zbl 1318.35070) Full Text: DOI arXiv
Bonnaillie-Noël, Virginie (ed.); Kovařík, Hynek (ed.); Pankrashkin, Konstantin (ed.) Mini-workshop: Eigenvalue problems in surface superconductivity. Abstracts from the mini-workshop held November 30 – December 6, 2014. (English) Zbl 1349.00075 Oberwolfach Rep. 11, No. 4, 3015-3057 (2014). MSC: 00B05 00B25 35-06 35P15 35P20 65N25 35C20 35J25 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} (ed.) et al., Oberwolfach Rep. 11, No. 4, 3015--3057 (2014; Zbl 1349.00075) Full Text: DOI
Bonnaillie-Noël, Virginie; Noris, Benedetta; Nys, Manon; Terracini, Susanna On the eigenvalues of Aharonov-Bohm operators with varying poles. (English) Zbl 1301.35069 Anal. PDE 7, No. 6, 1365-1395 (2014). MSC: 35P20 35Q40 35Q60 35J75 65N25 65F15 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., Anal. PDE 7, No. 6, 1365--1395 (2014; Zbl 1301.35069) Full Text: DOI arXiv
Bonnaillie-Noël, Virginie; Léna, Corentin Spectral minimal partitions of a sector. (English) Zbl 1286.35175 Discrete Contin. Dyn. Syst., Ser. B 19, No. 1, 27-53 (2014). MSC: 35P05 35B05 35J05 65F15 65N25 65N30 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} and \textit{C. Léna}, Discrete Contin. Dyn. Syst., Ser. B 19, No. 1, 27--53 (2014; Zbl 1286.35175) Full Text: DOI
Bonnaillie-Noël, Virginie; Helffer, Bernard On spectral minimal partitions: the disk revisited. (English) Zbl 1389.35022 Ann. Univ. Buchar., Math. Ser. 4(62), No. 1, 321-342 (2013). MSC: 35B05 35J05 35P15 49M25 65F15 65N25 65N30 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} and \textit{B. Helffer}, Ann. Univ. Buchar., Math. Ser. 4(62), No. 1, 321--342 (2013; Zbl 1389.35022)
Bonnaillie-Noël, Virginie; Raymond, Nicolas Peak power in the 3D magnetic Schrödinger equation. (English) Zbl 1286.35214 J. Funct. Anal. 265, No. 8, 1579-1614 (2013). Reviewer: Rodica Luca (Iaşi) MSC: 35Q41 35P20 82D55 35Q56 35B40 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} and \textit{N. Raymond}, J. Funct. Anal. 265, No. 8, 1579--1614 (2013; Zbl 1286.35214) Full Text: DOI
Bonnaillie-Noël, V.; Dambrine, M. Interactions between moderately close circular inclusions: the Dirichlet-Laplace equation in the plane. (English) Zbl 1279.35012 Asymptotic Anal. 84, No. 3-4, 197-227 (2013). MSC: 35J05 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} and \textit{M. Dambrine}, Asymptotic Anal. 84, No. 3--4, 197--227 (2013; Zbl 1279.35012) Full Text: DOI
Bonnaillie-Noël, Virginie; Brancherie, Delphine; Dambrine, Marc; Vial, Gregory Artificial boundary conditions to compute correctors in linear elasticity. (Russian, English) Zbl 1299.74157 Sib. Zh. Vychisl. Mat. 15, No. 2, 157-164 (2012); translation in Numer. Analysis Appl. 5, No. 2, 129-135 (2012). MSC: 74S05 35J25 65N99 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., Sib. Zh. Vychisl. Mat. 15, No. 2, 157--164 (2012; Zbl 1299.74157); translation in Numer. Analysis Appl. 5, No. 2, 129--135 (2012) Full Text: DOI
Bonnaillie-Noël, Virginie; Dauge, Monique; Popoff, Nicolas; Raymond, Nicolas Discrete spectrum of a model Schrödinger operator on the half-plane with Neumann conditions. (English) Zbl 1238.35070 Z. Angew. Math. Phys. 63, No. 2, 203-231 (2012). MSC: 35P15 35P20 41A60 65N25 65N30 35J10 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., Z. Angew. Math. Phys. 63, No. 2, 203--231 (2012; Zbl 1238.35070) Full Text: DOI HAL
Bonnaillie-Noël, V.; Helffer, B. Numerical analysis of nodal sets for eigenvalues of Aharonov-Bohm Hamiltonians on the square with application to minimal partitions. (English) Zbl 1270.35025 Exp. Math. 20, No. 3, 304-322 (2011). MSC: 35B05 35J05 35P15 65F15 65N25 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} and \textit{B. Helffer}, Exp. Math. 20, No. 3, 304--322 (2011; Zbl 1270.35025) Full Text: DOI Euclid
Bonnaillie-Noël, V.; Brancherie, D.; Dambrine, M.; Hérau, F.; Tordeux, S.; Vial, G. Multiscale expansion and numerical approximation for surface defects. (English) Zbl 1302.35035 ESAIM, Proc. 33, 22-35 (2011). MSC: 35B27 35J25 65N99 74B05 74G10 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., ESAIM, Proc. 33, 22--35 (2011; Zbl 1302.35035) Full Text: DOI
Bonnaillie-Noël, V.; Dambrine, M.; Hérau, F.; Vial, G. On generalized Ventcel’s type boundary conditions for Laplace operator in a bounded domain. (English) Zbl 1209.35035 SIAM J. Math. Anal. 42, No. 2, 931-945 (2010). MSC: 35J25 35A01 35A02 35S05 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., SIAM J. Math. Anal. 42, No. 2, 931--945 (2010; Zbl 1209.35035) Full Text: DOI
Bonnaillie-Noël, Virginie; Helffer, Bernard; Vial, Gregory Numerical simulations for nodal domains and spectral minimal partitions. (English) Zbl 1191.35189 ESAIM, Control Optim. Calc. Var. 16, No. 1, 221-246 (2010). Reviewer: Qin Mengzhao (Beijing) MSC: 35P05 65N25 65N30 49Q10 35J05 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., ESAIM, Control Optim. Calc. Var. 16, No. 1, 221--246 (2010; Zbl 1191.35189) Full Text: DOI EuDML
Bonnaillie-Noël, Virginie; Dambrine, Marc; Tordeux, Sébastien; Vial, Grégory Interactions between moderately close inclusions for the Laplace equation. (English) Zbl 1191.35112 Math. Models Methods Appl. Sci. 19, No. 10, 1853-1882 (2009). Reviewer: Michael Jung (Dresden) MSC: 35J25 35C20 65N30 31B20 35B20 35B25 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., Math. Models Methods Appl. Sci. 19, No. 10, 1853--1882 (2009; Zbl 1191.35112) Full Text: DOI
Bonnaillie-Noël, V.; Helffer, B.; Hoffmann-Ostenhof, T. Aharonov-Bohm Hamiltonians, isospectrality and minimal partitions. (English) Zbl 1196.35031 J. Phys. A, Math. Theor. 42, No. 18, Article ID 185203, 20 p. (2009). MSC: 35B05 35P99 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., J. Phys. A, Math. Theor. 42, No. 18, Article ID 185203, 20 p. (2009; Zbl 1196.35031) Full Text: DOI
Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II. (English) Zbl 1157.82046 J. Math. Soc. Japan 61, No. 1, 65-106 (2009). MSC: 82D37 35Q55 34L25 34L30 34L40 65L10 65Z05 81Q20 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., J. Math. Soc. Japan 61, No. 1, 65--106 (2009; Zbl 1157.82046) Full Text: DOI
Bonnaillie-Noël, V.; Helffer, B.; Hoffmann-Ostenhof, T. On spectral minimal partitions II, the case of the rectangle. arXiv:0809.3875 Preprint, arXiv:0809.3875 [math.SP] (2008). MSC: 35B05 BibTeX Cite \textit{V. Bonnaillie-Noël} et al., ``On spectral minimal partitions II, the case of the rectangle'', Preprint, arXiv:0809.3875 [math.SP] (2008) Full Text: arXiv OA License
Bonnaillie-Noël, V.; Fournais, S. Superconductivity in domains with corners. (English) Zbl 1144.82078 Rev. Math. Phys. 19, No. 6, 607-637 (2007). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D55 81Q10 35J10 35J60 35P30 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} and \textit{S. Fournais}, Rev. Math. Phys. 19, No. 6, 607--637 (2007; Zbl 1144.82078) Full Text: DOI arXiv
Bonnaillie-Noël, Virginie; Dambrine, Marc; Tordeux, Sébastien; Vial, Grégory On moderately close inclusions for the Laplace equation. (English) Zbl 1129.35024 C. R., Math., Acad. Sci. Paris 345, No. 11, 609-614 (2007). MSC: 35J25 35C20 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} et al., C. R., Math., Acad. Sci. Paris 345, No. 11, 609--614 (2007; Zbl 1129.35024) Full Text: DOI
Bonnaillie-Noël, Virginie; Dauge, Monique Asymptotics for the low-lying eigenstates of the Schrödinger operator with magnetic field near corners. (English) Zbl 1134.81021 Ann. Henri Poincaré 7, No. 5, 899-931 (2006). MSC: 81Q10 35P20 35Q40 81Q20 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël} and \textit{M. Dauge}, Ann. Henri Poincaré 7, No. 5, 899--931 (2006; Zbl 1134.81021) Full Text: DOI
Alouges, François; Bonnaillie-Noël, Virginie Numerical computations of fundamental eigenstates for the Schrödinger operator under constant magnetic field. (English) Zbl 1103.82006 Numer. Methods Partial Differ. Equations 22, No. 5, 1090-1105 (2006). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 82-08 35J10 35P15 82D55 PDFBibTeX XMLCite \textit{F. Alouges} and \textit{V. Bonnaillie-Noël}, Numer. Methods Partial Differ. Equations 22, No. 5, 1090--1105 (2006; Zbl 1103.82006) Full Text: DOI
Bonnaillie-Noël, Virginie Schrödinger operator with magnetic field in domain with corners. (English) Zbl 1172.35372 Journées “Équations aux dérivées partielles”, Forges-les-Eaux, France, 6 au 10 juin 2005. Exposés Nos. I–XVI. Palaiseau: École Polytechnique Palaiseau (ISBN 2-7302-1330-9/pbk). II-1-II-12 (2005). MSC: 35J10 35Q40 35P20 81Q10 65N25 82D55 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël}, in: Journées ``Équations aux dérivées partielles'', Forges-les-Eaux, France, 6 au 10 juin 2005. Exposés Nos. I--XVI. Palaiseau: École Polytechnique Palaiseau. II-1-II-12 (2005; Zbl 1172.35372)
Bonnaillie-Noël, Virginie A posteriori error estimator for the eigenvalue problem associated to the Schrödinger operator with magnetic field. (English) Zbl 1061.65114 Numer. Math. 99, No. 2, 325-348 (2004). Reviewer: Karel Najzar (Praha) MSC: 65N15 65N25 35P15 35J10 65N50 78A30 78M25 PDFBibTeX XMLCite \textit{V. Bonnaillie-Noël}, Numer. Math. 99, No. 2, 325--348 (2004; Zbl 1061.65114) Full Text: DOI