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Author ID: kachmar.ayman Recent zbMATH articles by "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

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

Publications by Year

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 1205.82147
Fournais, Søren; Kachmar, Ayman
21
2011
The ground state energy of the three dimensional Ginzburg-Landau functional. I. Bulk regime. Zbl 1267.82140
Fournais, Søren; Kachmar, Ayman
20
2013
Eigenvalues for the Robin Laplacian in domains with variable curvature. Zbl 1364.35215
Helffer, Bernard; Kachmar, Ayman
20
2017
The ground state energy of the three dimensional Ginzburg-Landau functional. II: Surface regime. Zbl 1260.35218
Fournais, 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 1112.81035
Kachmar, Ayman
12
2006
Tunneling for the Robin Laplacian in smooth planar domains. Zbl 1361.35119
Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas
12
2017
Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. Zbl 1203.35272
Kachmar, Ayman
11
2010
The Ginzburg-Landau functional with vanishing magnetic field. Zbl 1331.35330
Helffer, Bernard; Kachmar, Ayman
11
2015
The influence of magnetic steps on bulk superconductivity. Zbl 1352.35171
Assaad, Wafaa; Kachmar, Ayman
11
2016
The distribution of superconductivity near a magnetic barrier. Zbl 1416.82050
Assaad, Wafaa; Kachmar, Ayman; Persson-Sundqvist, Mikael
8
2019
The ground state energy of the three-dimensional Ginzburg-Landau model in the mixed phase. Zbl 1229.35281
Kachmar, Ayman
8
2011
Clusters of eigenvalues for the magnetic Laplacian with Robin condition. Zbl 1355.81073
Goffeng, Magnus; Kachmar, Ayman; Persson Sundqvist, Mikael
8
2016
On the essential spectrum of magnetic Schrödinger operators in exterior domains. Zbl 1278.81077
Kachmar, Ayman; Persson, Mikael
8
2013
The density of superconductivity in domains with corners. Zbl 1454.35362
Helffer, Bernard; Kachmar, Ayman
7
2018
Weyl formulae for the Robin Laplacian in the semiclassical limit. Zbl 06754757
Kachmar, Ayman; Keraval, Pierig; Raymond, Nicolas
7
2016
On the energy of bound states for magnetic Schrödinger operators. Zbl 1179.35203
Fournais, Søren; Kachmar, Ayman
7
2009
Weyl asymptotics for magnetic Schrödinger operators and de Gennes’ boundary condition. Zbl 1167.82024
Kachmar, Ayman
7
2008
On the perfect superconducting solution for a generalized Ginzburg-Landau equation. Zbl 1173.35707
Kachmar, Ayman
7
2007
On the ground state energy for a magnetic Schrödinger operator and the effect of the de Gennes boundary condition. Zbl 1099.35131
Kachmar, Ayman
7
2006
Counterexample to strong diamagnetism for the magnetic Robin Laplacian. Zbl 1450.35198
Kachmar, Ayman; Sundqvist, Mikael P.
5
2020
Superconductivity and the Aharonov-Bohm effect. (Supraconductivité et effet Aharonov-Bohm.) Zbl 1416.82051
Kachmar, Ayman; Pan, XingBin
5
2019
The Ginzburg-Landau order parameter near the second critical field. Zbl 1293.35309
Kachmar, Ayman
5
2014
Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. II. Zbl 1180.35495
Aydi, Hassen; Kachmar, Ayman
5
2009
Decay of superconductivity away from the magnetic zero set. Zbl 1382.35285
Helffer, Bernard; Kachmar, Ayman
4
2017
On the transition to the normal phase for superconductors surrounded by normal conductors. Zbl 1178.35346
Fournais, Søren; Kachmar, Ayman
4
2009
On the stability of normal states for a generalized Ginzburg-Landau model. Zbl 1148.35054
Kachmar, Ayman
4
2007
Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential. Zbl 1455.82010
Kachmar, Ayman; Pan, Xing-Bin
4
2020
Spectral asymptotics for magnetic Schrödinger operators in domains with corners. Zbl 1295.81066
Kachmar, Ayman; Khochman, Abdallah
3
2013
Magnetic Ginzburg-Landau functional with discontinuous constraint. Zbl 1138.35087
Kachmar, Ayman
3
2008
The distribution of 3D superconductivity near the second critical field. Zbl 1366.37130
Kachmar, Ayman; Nasrallah, Marwa
3
2016
Diamagnetism versus Robin condition and concentration of ground states. Zbl 1348.35255
Kachmar, Ayman
3
2016
On the isoperimetric inequality for the magnetic Robin Laplacian with negative boundary parameter. Zbl 1487.35260
Kachmar, Ayman; Lotoreichik, Vladimir
2
2022
Tunnel effect in a shrinking shell enlacing a magnetic field. Zbl 1428.35249
Kachmar, Ayman; Raymond, Nicolas
2
2019
Limiting jump conditions for Josephson junctions in Ginzburg-Landau theory. Zbl 1224.35124
Kachmar, Ayman
2
2008
Semi-classical trace asymptotics for magnetic Schrödinger operators with Robin condition. Zbl 1321.81022
Kachmar, Ayman; Nasrallah, Marwa
2
2015
A new formula for the energy of bulk superconductivity. Zbl 1352.35172
Kachmar, Ayman
2
2016
From constant to non-degenerately vanishing magnetic fields in superconductivity. Zbl 1361.82039
Helffer, Bernard; Kachmar, Ayman
2
2017
Non-homogeneous magnetic permeability and magnetic steps within the Ginzburg-Landau model. Zbl 1451.35204
Assaad, Wafaa; Kachmar, Ayman; Sabbagh, Lamis
1
2020
Existence of surface smectic states of liquid crystals. Zbl 1380.82054
Fournais, Søren; Kachmar, Ayman; Pan, Xing-Bin
1
2018
Strength of superconductivity close to critical magnetic field. Zbl 1206.82143
Fournais, Søren; Kachmar, Ayman
1
2010
Thin domain limit and counterexamples to strong diamagnetism. Zbl 1473.35523
Helffer, Bernard; Kachmar, Ayman
1
2021
Energy of a rotating Bose-Einstein condensate in a harmonic trap. Zbl 1369.35084
Kachmar, Ayman
1
2017
On the isoperimetric inequality for the magnetic Robin Laplacian with negative boundary parameter. Zbl 1487.35260
Kachmar, Ayman; Lotoreichik, Vladimir
2
2022
Thin domain limit and counterexamples to strong diamagnetism. Zbl 1473.35523
Helffer, Bernard; Kachmar, Ayman
1
2021
Counterexample to strong diamagnetism for the magnetic Robin Laplacian. Zbl 1450.35198
Kachmar, Ayman; Sundqvist, Mikael P.
5
2020
Oscillatory patterns in the Ginzburg-Landau model driven by the Aharonov-Bohm potential. Zbl 1455.82010
Kachmar, Ayman; Pan, Xing-Bin
4
2020
Non-homogeneous magnetic permeability and magnetic steps within the Ginzburg-Landau model. Zbl 1451.35204
Assaad, Wafaa; Kachmar, Ayman; Sabbagh, Lamis
1
2020
The distribution of superconductivity near a magnetic barrier. Zbl 1416.82050
Assaad, Wafaa; Kachmar, Ayman; Persson-Sundqvist, Mikael
8
2019
Superconductivity and the Aharonov-Bohm effect. (Supraconductivité et effet Aharonov-Bohm.) Zbl 1416.82051
Kachmar, Ayman; Pan, XingBin
5
2019
Tunnel effect in a shrinking shell enlacing a magnetic field. Zbl 1428.35249
Kachmar, Ayman; Raymond, Nicolas
2
2019
The density of superconductivity in domains with corners. Zbl 1454.35362
Helffer, Bernard; Kachmar, Ayman
7
2018
Existence of surface smectic states of liquid crystals. Zbl 1380.82054
Fournais, Søren; Kachmar, Ayman; Pan, Xing-Bin
1
2018
Eigenvalues for the Robin Laplacian in domains with variable curvature. Zbl 1364.35215
Helffer, Bernard; Kachmar, Ayman
20
2017
Tunneling for the Robin Laplacian in smooth planar domains. Zbl 1361.35119
Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas
12
2017
Decay of superconductivity away from the magnetic zero set. Zbl 1382.35285
Helffer, Bernard; Kachmar, Ayman
4
2017
From constant to non-degenerately vanishing magnetic fields in superconductivity. Zbl 1361.82039
Helffer, Bernard; Kachmar, Ayman
2
2017
Energy of a rotating Bose-Einstein condensate in a harmonic trap. Zbl 1369.35084
Kachmar, Ayman
1
2017
The influence of magnetic steps on bulk superconductivity. Zbl 1352.35171
Assaad, Wafaa; Kachmar, Ayman
11
2016
Clusters of eigenvalues for the magnetic Laplacian with Robin condition. Zbl 1355.81073
Goffeng, Magnus; Kachmar, Ayman; Persson Sundqvist, Mikael
8
2016
Weyl formulae for the Robin Laplacian in the semiclassical limit. Zbl 06754757
Kachmar, Ayman; Keraval, Pierig; Raymond, Nicolas
7
2016
The distribution of 3D superconductivity near the second critical field. Zbl 1366.37130
Kachmar, Ayman; Nasrallah, Marwa
3
2016
Diamagnetism versus Robin condition and concentration of ground states. Zbl 1348.35255
Kachmar, Ayman
3
2016
A new formula for the energy of bulk superconductivity. Zbl 1352.35172
Kachmar, Ayman
2
2016
The Ginzburg-Landau functional with vanishing magnetic field. Zbl 1331.35330
Helffer, Bernard; Kachmar, Ayman
11
2015
Semi-classical trace asymptotics for magnetic Schrödinger operators with Robin condition. Zbl 1321.81022
Kachmar, Ayman; Nasrallah, Marwa
2
2015
The Ginzburg-Landau order parameter near the second critical field. Zbl 1293.35309
Kachmar, Ayman
5
2014
The ground state energy of the three dimensional Ginzburg-Landau functional. I. Bulk regime. Zbl 1267.82140
Fournais, Søren; Kachmar, Ayman
20
2013
The ground state energy of the three dimensional Ginzburg-Landau functional. II: Surface regime. Zbl 1260.35218
Fournais, S.; Kachmar, A.; Persson, M.
15
2013
On the essential spectrum of magnetic Schrödinger operators in exterior domains. Zbl 1278.81077
Kachmar, Ayman; Persson, Mikael
8
2013
Spectral asymptotics for magnetic Schrödinger operators in domains with corners. Zbl 1295.81066
Kachmar, Ayman; Khochman, Abdallah
3
2013
Nucleation of bulk superconductivity close to critical magnetic field. Zbl 1205.82147
Fournais, Søren; Kachmar, Ayman
21
2011
The ground state energy of the three-dimensional Ginzburg-Landau model in the mixed phase. Zbl 1229.35281
Kachmar, Ayman
8
2011
Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. Zbl 1203.35272
Kachmar, Ayman
11
2010
Strength of superconductivity close to critical magnetic field. Zbl 1206.82143
Fournais, Søren; Kachmar, Ayman
1
2010
On the energy of bound states for magnetic Schrödinger operators. Zbl 1179.35203
Fournais, Søren; Kachmar, Ayman
7
2009
Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint. II. Zbl 1180.35495
Aydi, Hassen; Kachmar, Ayman
5
2009
On the transition to the normal phase for superconductors surrounded by normal conductors. Zbl 1178.35346
Fournais, Søren; Kachmar, Ayman
4
2009
Weyl asymptotics for magnetic Schrödinger operators and de Gennes’ boundary condition. Zbl 1167.82024
Kachmar, Ayman
7
2008
Magnetic Ginzburg-Landau functional with discontinuous constraint. Zbl 1138.35087
Kachmar, Ayman
3
2008
Limiting jump conditions for Josephson junctions in Ginzburg-Landau theory. Zbl 1224.35124
Kachmar, Ayman
2
2008
On the perfect superconducting solution for a generalized Ginzburg-Landau equation. Zbl 1173.35707
Kachmar, Ayman
7
2007
On the stability of normal states for a generalized Ginzburg-Landau model. Zbl 1148.35054
Kachmar, Ayman
4
2007
On the ground state energy for a magnetic Schrödinger operator and the effect of the De Gennes boundary condition. Zbl 1112.81035
Kachmar, Ayman
12
2006
On the ground state energy for a magnetic Schrödinger operator and the effect of the de Gennes boundary condition. Zbl 1099.35131
Kachmar, Ayman
7
2006
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

Citations by Year