Edit Profile (opens in new tab) Kachmar, Ayman Compute Distance To: Compute Author ID: kachmar.ayman Published as: Kachmar, Ayman; Kachmar, A. External Links: MGP · Google Scholar · ResearchGate · dblp · IdRef · theses.fr Documents Indexed: 50 Publications since 2006 Reviewing Activity: 32 Reviews Co-Authors: 14 Co-Authors with 37 Joint Publications 421 Co-Co-Authors all top 5 Co-Authors 13 single-authored 10 Helffer, Bernard 8 Fournais, Søren 6 Sundqvist, Mikael Persson 4 Nasrallah, Marwa 4 Raymond, Nicolas 3 Assaad, Wafaa 3 Pan, Xingbin 2 Lotoreichik, Vladimir 1 Aydi, Hassen Mohamed 1 Goffeng, Magnus 1 Habib, Georges 1 Keraval, Pierig 1 Khochman, Abdallah 1 Sabbagh, Lamis all top 5 Serials 4 Asymptotic Analysis 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Mathematical Physics 3 Journal of Functional Analysis 2 Reviews in Mathematical Physics 2 The Journal of Geometric Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Advances in Mathematics 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Calculus of Variations and Partial Differential Equations 1 Discrete and Continuous Dynamical Systems 1 Arab Journal of Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Physics, Analysis and Geometry 1 Revista Matemática Complutense 1 Communications in Contemporary Mathematics 1 Communications on Pure and Applied Analysis 1 Confluentes Mathematici 1 Journal of Spectral Theory 1 Palestine Journal of Mathematics 1 Journal of Elliptic and Parabolic Equations 1 Pure and Applied Functional Analysis all top 5 Fields 47 Partial differential equations (35-XX) 23 Statistical mechanics, structure of matter (82-XX) 11 Quantum theory (81-XX) 9 Optics, electromagnetic theory (78-XX) 6 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 42 Publications have been cited 272 times in 95 Documents Cited by ▼ Year ▼ Nucleation of bulk superconductivity close to critical magnetic field. Zbl 1205.82147Fournais, Søren; Kachmar, Ayman 21 2011 The ground state energy of the three dimensional Ginzburg-Landau functional. I. Bulk regime. Zbl 1267.82140Fournais, Søren; Kachmar, Ayman 20 2013 Eigenvalues for the Robin Laplacian in domains with variable curvature. Zbl 1364.35215Helffer, Bernard; Kachmar, Ayman 20 2017 The ground state energy of the three dimensional Ginzburg-Landau functional. II: Surface regime. Zbl 1260.35218Fournais, S.; Kachmar, A.; Persson, M. 15 2013 On the ground state energy for a magnetic Schrödinger operator and the effect of the De Gennes boundary condition. Zbl 1112.81035Kachmar, Ayman 12 2006 Tunneling for the Robin Laplacian in smooth planar domains. Zbl 1361.35119Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas 12 2017 Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. Zbl 1203.35272Kachmar, Ayman 11 2010 The Ginzburg-Landau functional with vanishing magnetic field. Zbl 1331.35330Helffer, Bernard; Kachmar, Ayman 11 2015 The influence of magnetic steps on bulk superconductivity. Zbl 1352.35171Assaad, Wafaa; Kachmar, Ayman 11 2016 The distribution of superconductivity near a magnetic barrier. Zbl 1416.82050Assaad, Wafaa; Kachmar, Ayman; Persson-Sundqvist, Mikael 8 2019 The ground state energy of the three-dimensional Ginzburg-Landau model in the mixed phase. Zbl 1229.35281Kachmar, Ayman 8 2011 Clusters of eigenvalues for the magnetic Laplacian with Robin condition. Zbl 1355.81073Goffeng, Magnus; Kachmar, Ayman; Persson Sundqvist, Mikael 8 2016 On the essential spectrum of magnetic Schrödinger operators in exterior domains. Zbl 1278.81077Kachmar, Ayman; Persson, Mikael 8 2013 The density of superconductivity in domains with corners. Zbl 1454.35362Helffer, Bernard; Kachmar, Ayman 7 2018 Weyl formulae for the Robin Laplacian in the semiclassical limit. Zbl 06754757Kachmar, Ayman; Keraval, Pierig; Raymond, Nicolas 7 2016 On the energy of bound states for magnetic Schrödinger operators. Zbl 1179.35203Fournais, Søren; Kachmar, Ayman 7 2009 Weyl asymptotics for magnetic Schrödinger operators and de Gennes’ boundary condition. Zbl 1167.82024Kachmar, Ayman 7 2008 On the perfect superconducting solution for a generalized Ginzburg-Landau equation. Zbl 1173.35707Kachmar, Ayman 7 2007 On the ground state energy for a magnetic Schrödinger operator and the effect of the de Gennes boundary condition. Zbl 1099.35131Kachmar, Ayman 7 2006 Counterexample to strong diamagnetism for the magnetic Robin Laplacian. Zbl 1450.35198Kachmar, Ayman; Sundqvist, Mikael P. 5 2020 Superconductivity and the Aharonov-Bohm effect. (Supraconductivité et effet Aharonov-Bohm.) Zbl 1416.82051Kachmar, Ayman; Pan, XingBin 5 2019 The Ginzburg-Landau order parameter near the second critical field. Zbl 1293.35309Kachmar, Ayman 5 2014 Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. II. Zbl 1180.35495Aydi, Hassen; Kachmar, Ayman 5 2009 Decay of superconductivity away from the magnetic zero set. Zbl 1382.35285Helffer, Bernard; Kachmar, Ayman 4 2017 On the transition to the normal phase for superconductors surrounded by normal conductors. Zbl 1178.35346Fournais, Søren; Kachmar, Ayman 4 2009 On the stability of normal states for a generalized Ginzburg-Landau model. Zbl 1148.35054Kachmar, Ayman 4 2007 Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential. Zbl 1455.82010Kachmar, Ayman; Pan, Xing-Bin 4 2020 Spectral asymptotics for magnetic Schrödinger operators in domains with corners. Zbl 1295.81066Kachmar, Ayman; Khochman, Abdallah 3 2013 Magnetic Ginzburg-Landau functional with discontinuous constraint. Zbl 1138.35087Kachmar, Ayman 3 2008 The distribution of 3D superconductivity near the second critical field. Zbl 1366.37130Kachmar, Ayman; Nasrallah, Marwa 3 2016 Diamagnetism versus Robin condition and concentration of ground states. Zbl 1348.35255Kachmar, Ayman 3 2016 On the isoperimetric inequality for the magnetic Robin Laplacian with negative boundary parameter. Zbl 1487.35260Kachmar, Ayman; Lotoreichik, Vladimir 2 2022 Tunnel effect in a shrinking shell enlacing a magnetic field. Zbl 1428.35249Kachmar, Ayman; Raymond, Nicolas 2 2019 Limiting jump conditions for Josephson junctions in Ginzburg-Landau theory. Zbl 1224.35124Kachmar, Ayman 2 2008 Semi-classical trace asymptotics for magnetic Schrödinger operators with Robin condition. Zbl 1321.81022Kachmar, Ayman; Nasrallah, Marwa 2 2015 A new formula for the energy of bulk superconductivity. Zbl 1352.35172Kachmar, Ayman 2 2016 From constant to non-degenerately vanishing magnetic fields in superconductivity. Zbl 1361.82039Helffer, Bernard; Kachmar, Ayman 2 2017 Non-homogeneous magnetic permeability and magnetic steps within the Ginzburg-Landau model. Zbl 1451.35204Assaad, Wafaa; Kachmar, Ayman; Sabbagh, Lamis 1 2020 Existence of surface smectic states of liquid crystals. Zbl 1380.82054Fournais, Søren; Kachmar, Ayman; Pan, Xing-Bin 1 2018 Strength of superconductivity close to critical magnetic field. Zbl 1206.82143Fournais, Søren; Kachmar, Ayman 1 2010 Thin domain limit and counterexamples to strong diamagnetism. Zbl 1473.35523Helffer, Bernard; Kachmar, Ayman 1 2021 Energy of a rotating Bose-Einstein condensate in a harmonic trap. Zbl 1369.35084Kachmar, Ayman 1 2017 On the isoperimetric inequality for the magnetic Robin Laplacian with negative boundary parameter. Zbl 1487.35260Kachmar, Ayman; Lotoreichik, Vladimir 2 2022 Thin domain limit and counterexamples to strong diamagnetism. Zbl 1473.35523Helffer, Bernard; Kachmar, Ayman 1 2021 Counterexample to strong diamagnetism for the magnetic Robin Laplacian. Zbl 1450.35198Kachmar, Ayman; Sundqvist, Mikael P. 5 2020 Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential. Zbl 1455.82010Kachmar, Ayman; Pan, Xing-Bin 4 2020 Non-homogeneous magnetic permeability and magnetic steps within the Ginzburg-Landau model. Zbl 1451.35204Assaad, Wafaa; Kachmar, Ayman; Sabbagh, Lamis 1 2020 The distribution of superconductivity near a magnetic barrier. Zbl 1416.82050Assaad, Wafaa; Kachmar, Ayman; Persson-Sundqvist, Mikael 8 2019 Superconductivity and the Aharonov-Bohm effect. (Supraconductivité et effet Aharonov-Bohm.) Zbl 1416.82051Kachmar, Ayman; Pan, XingBin 5 2019 Tunnel effect in a shrinking shell enlacing a magnetic field. Zbl 1428.35249Kachmar, Ayman; Raymond, Nicolas 2 2019 The density of superconductivity in domains with corners. Zbl 1454.35362Helffer, Bernard; Kachmar, Ayman 7 2018 Existence of surface smectic states of liquid crystals. Zbl 1380.82054Fournais, Søren; Kachmar, Ayman; Pan, Xing-Bin 1 2018 Eigenvalues for the Robin Laplacian in domains with variable curvature. Zbl 1364.35215Helffer, Bernard; Kachmar, Ayman 20 2017 Tunneling for the Robin Laplacian in smooth planar domains. Zbl 1361.35119Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas 12 2017 Decay of superconductivity away from the magnetic zero set. Zbl 1382.35285Helffer, Bernard; Kachmar, Ayman 4 2017 From constant to non-degenerately vanishing magnetic fields in superconductivity. Zbl 1361.82039Helffer, Bernard; Kachmar, Ayman 2 2017 Energy of a rotating Bose-Einstein condensate in a harmonic trap. Zbl 1369.35084Kachmar, Ayman 1 2017 The influence of magnetic steps on bulk superconductivity. Zbl 1352.35171Assaad, Wafaa; Kachmar, Ayman 11 2016 Clusters of eigenvalues for the magnetic Laplacian with Robin condition. Zbl 1355.81073Goffeng, Magnus; Kachmar, Ayman; Persson Sundqvist, Mikael 8 2016 Weyl formulae for the Robin Laplacian in the semiclassical limit. Zbl 06754757Kachmar, Ayman; Keraval, Pierig; Raymond, Nicolas 7 2016 The distribution of 3D superconductivity near the second critical field. Zbl 1366.37130Kachmar, Ayman; Nasrallah, Marwa 3 2016 Diamagnetism versus Robin condition and concentration of ground states. Zbl 1348.35255Kachmar, Ayman 3 2016 A new formula for the energy of bulk superconductivity. Zbl 1352.35172Kachmar, Ayman 2 2016 The Ginzburg-Landau functional with vanishing magnetic field. Zbl 1331.35330Helffer, Bernard; Kachmar, Ayman 11 2015 Semi-classical trace asymptotics for magnetic Schrödinger operators with Robin condition. Zbl 1321.81022Kachmar, Ayman; Nasrallah, Marwa 2 2015 The Ginzburg-Landau order parameter near the second critical field. Zbl 1293.35309Kachmar, Ayman 5 2014 The ground state energy of the three dimensional Ginzburg-Landau functional. I. Bulk regime. Zbl 1267.82140Fournais, Søren; Kachmar, Ayman 20 2013 The ground state energy of the three dimensional Ginzburg-Landau functional. II: Surface regime. Zbl 1260.35218Fournais, S.; Kachmar, A.; Persson, M. 15 2013 On the essential spectrum of magnetic Schrödinger operators in exterior domains. Zbl 1278.81077Kachmar, Ayman; Persson, Mikael 8 2013 Spectral asymptotics for magnetic Schrödinger operators in domains with corners. Zbl 1295.81066Kachmar, Ayman; Khochman, Abdallah 3 2013 Nucleation of bulk superconductivity close to critical magnetic field. Zbl 1205.82147Fournais, Søren; Kachmar, Ayman 21 2011 The ground state energy of the three-dimensional Ginzburg-Landau model in the mixed phase. Zbl 1229.35281Kachmar, Ayman 8 2011 Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. Zbl 1203.35272Kachmar, Ayman 11 2010 Strength of superconductivity close to critical magnetic field. Zbl 1206.82143Fournais, Søren; Kachmar, Ayman 1 2010 On the energy of bound states for magnetic Schrödinger operators. Zbl 1179.35203Fournais, Søren; Kachmar, Ayman 7 2009 Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. II. Zbl 1180.35495Aydi, Hassen; Kachmar, Ayman 5 2009 On the transition to the normal phase for superconductors surrounded by normal conductors. Zbl 1178.35346Fournais, Søren; Kachmar, Ayman 4 2009 Weyl asymptotics for magnetic Schrödinger operators and de Gennes’ boundary condition. Zbl 1167.82024Kachmar, Ayman 7 2008 Magnetic Ginzburg-Landau functional with discontinuous constraint. Zbl 1138.35087Kachmar, Ayman 3 2008 Limiting jump conditions for Josephson junctions in Ginzburg-Landau theory. Zbl 1224.35124Kachmar, Ayman 2 2008 On the perfect superconducting solution for a generalized Ginzburg-Landau equation. Zbl 1173.35707Kachmar, Ayman 7 2007 On the stability of normal states for a generalized Ginzburg-Landau model. Zbl 1148.35054Kachmar, Ayman 4 2007 On the ground state energy for a magnetic Schrödinger operator and the effect of the De Gennes boundary condition. Zbl 1112.81035Kachmar, Ayman 12 2006 On the ground state energy for a magnetic Schrödinger operator and the effect of the de Gennes boundary condition. Zbl 1099.35131Kachmar, Ayman 7 2006 all cited Publications top 5 cited Publications all top 5 Cited by 82 Authors 32 Kachmar, Ayman 13 Helffer, Bernard 8 Correggi, Michele 7 Fournais, Søren 7 Raymond, Nicolas 6 Pan, Xingbin 6 Sundqvist, Mikael Persson 5 Assaad, Wafaa 5 Bruneau, Vincent 5 Pankrashkin, Konstantin 4 Attar, Kamel 4 Exner, Pavel 4 Lotoreichik, Vladimir 4 Rougerie, Nicolas 3 Dos Santos, Mickaël 3 Giacomelli, Emanuela L. 3 Kennedy, James Bernard 3 Nasrallah, Marwa 2 Aydi, Hassen Mohamed 2 Cornean, Horia D. 2 Khalile, Magda 2 Kovařík, Hynek 2 Krejčiřík, David 2 Lang, Robin 2 Popoff, Nicolas 2 Raikov, Georgi D. 2 Sambou, Diomba 1 Aftalion, Amandine 1 Alama, Stan 1 Almog, Yaniv 1 Arrizabalaga, Naiara 1 Baldo, Sisto 1 Behrndt, Jussi 1 Berlyand, Leonid V. 1 Bögli, Sabine 1 Bonnaillie-Noël, Virginie 1 Bronsard, Lia 1 Buoso, Davide 1 Cárdenas, Esteban 1 Colbois, Bruno 1 Deleporte, Alix 1 Dimonte, Daniele 1 Eyvazov, Elshad H. 1 Frank, Rupert L. 1 Goffeng, Magnus 1 Golovaty, Dmitry 1 Gómez, Delfina 1 Grebenkov, Denis S. 1 Hérau, Frédéric 1 Holzmann, Markus 1 Iaroshenko, Oleksandr 1 Jerrard, Robert Leon 1 Karasev, Mikhail Vladimirovich 1 Keraval, Pierig 1 Khochman, Abdallah 1 Kim, Soojung 1 Le Treust, Loïc 1 Millot, Vincent 1 Miqueu, Jean-Philippe 1 Miranda, Pablo L. 1 Nazarov, Sergeĭ Aleksandrovich 1 Orlandi, Giandomenico 1 Orujov, Davud H. 1 Ourmiéres-Bonafos, Thomas 1 Pedersen, Thomas Garm 1 Pérez-martínez, María-eugenia 1 Pérez-Obiol, Axel 1 Provenzano, Luigi 1 Rohleder, Jonathan 1 Román, Carlos 1 Royer, Julien 1 Rybalko, Volodymyr 1 Sabbagh, Lamis 1 Sandier, Etienne 1 Savo, Alessandro 1 Serfaty, Sylvia 1 Siegl, Petr 1 Sigal, Israel Michael 1 Soner, Halil Mete 1 Stockmeyer, Edgardo 1 Tejeda, Ignacio 1 Vũ Ngọc, San all top 5 Cited in 48 Serials 6 Communications in Mathematical Physics 6 Journal of Mathematical Physics 5 Journal of Functional Analysis 5 The Journal of Geometric Analysis 5 Calculus of Variations and Partial Differential Equations 4 Archive for Rational Mechanics and Analysis 4 Reviews in Mathematical Physics 4 Journal of Differential Equations 3 Asymptotic Analysis 3 SIAM Journal on Mathematical Analysis 3 Journal of Spectral Theory 2 Letters in Mathematical Physics 2 Nonlinearity 2 Annales de l’Institut Fourier 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Mathematical Physics, Analysis and Geometry 2 Communications in Contemporary Mathematics 2 Annales Henri Poincaré 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Elliptic and Parabolic Equations 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Reports on Mathematical Physics 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Mathematika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Revista Matemática Iberoamericana 1 Communications in Partial Differential Equations 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Journal of Mathematical Physics 1 Discrete and Continuous Dynamical Systems 1 Arab Journal of Mathematical Sciences 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Revista Matemática Complutense 1 Portugaliae Mathematica. Nova Série 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Confluentes Mathematici 1 Analysis and Mathematical Physics 1 Afrika Matematika 1 Bollettino dell’Unione Matematica Italiana 1 SN Partial Differential Equations and Applications all top 5 Cited in 15 Fields 93 Partial differential equations (35-XX) 39 Statistical mechanics, structure of matter (82-XX) 31 Quantum theory (81-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Operator theory (47-XX) 11 Optics, electromagnetic theory (78-XX) 7 Global analysis, analysis on manifolds (58-XX) 3 Ordinary differential equations (34-XX) 2 Fluid mechanics (76-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year