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Author ID: aftalion.amandine Recent zbMATH articles by "Aftalion, Amandine"
Published as: Aftalion, Amandine; Aftalion, A.
External Links: MGP · Wikidata · GND · IdRef · theses.fr
Documents Indexed: 53 Publications since 1996, including 1 Book
Co-Authors: 36 Co-Authors with 41 Joint Publications
1,102 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 512 times in 361 Documents Cited by Year
Vortices in Bose-Einstein condensates. Zbl 1129.82004
Aftalion, Amandine
59
2006
Qualitative properties of nodal solutions of semilinear elliptic equations in radially symmetric domains. Zbl 1113.35063
Aftalion, Amandine; Pacella, Filomena
46
2004
Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates. Zbl 1118.82004
Aftalion, A.; Blanc, X.; Nier, F.
41
2006
Giant vortex and the breakdown of strong pinning in a rotating Bose-Einstein condensate. Zbl 1075.76063
Aftalion, Amandine; Alama, Stan; Bronsard, Lia
37
2005
Pinning phenomena in the Ginzburg-Landau model of superconductivity. Zbl 1027.35123
Aftalion, Amandine; Sandier, Etienne; Serfaty, Sylvia
33
2001
Lowest Landau level approach in superconductivity for the Abrikosov lattice close to \(H_{{c}_{2}}\). Zbl 1138.82034
Aftalion, Amandine; Serfaty, Sylvia
30
2007
Approximate radial symmetry for overdetermined boundary value problems. Zbl 0951.35046
Aftalion, Amandine; Busca, Jérôme; Reichel, Wolfgang
24
1999
Non-existence of vortices in the small density region of a condensate. Zbl 1220.82006
Aftalion, Amandine; Jerrard, Robert L.; Royo-Letelier, Jimena
19
2011
Radial symmetry of overdetermined boundary-value problems in exterior domains. Zbl 0911.35008
Aftalion, Amandine; Busca, Jérôme
16
1998
Interface layer of a two-component Bose-Einstein condensate. Zbl 1372.34090
Aftalion, Amandine; Sourdis, Christos
16
2017
Multiple boundary blow-up solutions for nonlinear elliptic equations. Zbl 1030.35049
Aftalion, Amandine; del Pino, Manuel; Letelier, René
15
2003
On mathematical models for Bose-Einstein condensates in optical lattices. Zbl 1171.82304
Aftalion, Amandine; Helffer, Bernard
15
2009
Uniqueness and nondegeneracy for some nonlinear elliptic problems in a ball. Zbl 1109.35039
Aftalion, Amandine; Pacella, Filomena
14
2003
Existence of two boundary blow-up solutions for semilinear elliptic equations. Zbl 0890.35049
Aftalion, Amandine; Reichel, Wolfgang
13
1997
Vortex lattices in rotating Bose-Einstein condensates. Zbl 1174.35104
Aftalion, Amandine; Blanc, Xavier
12
2006
Morse index and uniqueness for positive solutions of radial \(p\)-Laplace equations. Zbl 1062.58015
Aftalion, Amandine; Pacella, Filomena
11
2004
A minimal interface problem arising from a two component Bose-Einstein condensate via \(\Gamma \)-convergence. Zbl 1323.49008
Aftalion, Amandine; Royo-Letelier, Jimena
11
2015
On the solutions of the one-dimensional Ginzburg-Landau equations for superconductivity. Zbl 0946.34023
Aftalion, Amandine; Troy, William C.
9
1999
Thomas-Fermi approximation for coexisting two component Bose-Einstein condensates and nonexistence of vortices for small rotation. Zbl 1325.49004
Aftalion, Amandine; Noris, Benedetta; Sourdis, Christos
9
2015
Reduced energy functionals for a three-dimensional fast rotating Bose Einstein condensates. Zbl 1202.82010
Aftalion, Amandine; Blanc, Xavier
9
2008
On the minimizers of the Ginzburg-Landau energy for high \(\kappa\): The one-dimensional case. Zbl 0886.34019
Aftalion, Amandine
7
1997
On the symmetry and uniqueness of solutions of the Ginzburg-Landau equations for small domains. Zbl 1066.35005
Aftalion, A.; Dancer, E. N.
7
2001
The bifurcation diagrams for the Ginzburg-Landau system of superconductivity. Zbl 1082.82018
Aftalion, Amandine; Du, Qiang
7
2002
Existence of vortex-free solutions in the Painlevé boundary layer of a Bose-Einstein condensate. Zbl 1081.82011
Aftalion, Amandine; Blanc, Xavier
6
2004
Optimization of running strategies based on anaerobic energy and variations of velocity. Zbl 1307.49002
Aftalion, Amandine; Bonnans, J. Frédéric
6
2014
Radial symmetry of overdetermined boundary value problems in exterior domains. (Symétrie radiale pour des problèmes elliptiques surdéterminés posés dans des domaines extérieurs.) Zbl 0876.35032
Aftalion, Amandine; Busca, Jérôme
5
1997
Properties of a single vortex solution in a rotating Bose-Einstein condensate. Zbl 1050.82502
Aftalion, Amandine; Jerrard, Robert L.
4
2003
Asymptotic analysis of a secondary bifurcation of the one-dimensional Ginzburg-Landau equations of superconductivity. Zbl 0961.82034
Aftalion, A.; Chapman, S. J.
4
2000
One dimensional phase transition problem modeling striped spin orbit coupled Bose-Einstein condensates. Zbl 1444.49007
Aftalion, Amandine; Rodiac, Rémy
3
2020
Vortex patterns in Bose Einstein condensates. Zbl 1200.82036
Aftalion, Amandine
3
2007
How to run 100 meters. Zbl 1372.49024
Aftalion, Amandine
3
2017
On the energy of a Bose-Einstein condensate in an optical lattice. Zbl 1119.35081
Aftalion, Amandine
3
2007
Vortex patterns and sheets in segregated two component Bose-Einstein condensates. Zbl 1430.49003
Aftalion, Amandine; Sandier, Etienne
2
2020
Asymptotic analysis of the bifurcation diagram for symmetric one-dimensional solutions of the Ginzburg-Landau equations. Zbl 0941.34028
Aftalion, A.; Chapman, S. J.
2
1999
On the minimizers of the Ginzburg-Landau energy for high kappa: The axially symmetric case. Zbl 0940.35183
Aftalion, Amandine
2
1999
Mathematical issues in the modelling of supersolids. Zbl 1178.82087
Aftalion, A.; Blanc, X.; Jerrard, R. L.
2
2009
Fast rotating Bose-Einstein condensates in an asymmetric trap. Zbl 1180.82118
Aftalion, Amandine; Blanc, Xavier; Lerner, Nicolas
2
2009
How to identify the physiological parameters and run the optimal race. Zbl 1343.92093
Aftalion, Amandine; Despaigne, Louis-Henri; Frentz, Alexis; Gabet, Pierre; Lajouanie, Antoine; Lorthiois, Marc-Antoine; Roquette, Lucien; Vernet, Camille
2
2016
Phase transition in a Rabi coupled two-component Bose-Einstein condensate. Zbl 1421.34028
Aftalion, Amandine; Sourdis, Christos
2
2019
On the uniqueness of solutions to the Ginzburg-Landau system for thin films. Zbl 0976.34027
Aftalion, Amandine; Troy, William C.
1
2000
One dimensional phase transition problem modeling striped spin orbit coupled Bose-Einstein condensates. Zbl 1444.49007
Aftalion, Amandine; Rodiac, Rémy
3
2020
Vortex patterns and sheets in segregated two component Bose-Einstein condensates. Zbl 1430.49003
Aftalion, Amandine; Sandier, Etienne
2
2020
Phase transition in a Rabi coupled two-component Bose-Einstein condensate. Zbl 1421.34028
Aftalion, Amandine; Sourdis, Christos
2
2019
Interface layer of a two-component Bose-Einstein condensate. Zbl 1372.34090
Aftalion, Amandine; Sourdis, Christos
16
2017
How to run 100 meters. Zbl 1372.49024
Aftalion, Amandine
3
2017
How to identify the physiological parameters and run the optimal race. Zbl 1343.92093
Aftalion, Amandine; Despaigne, Louis-Henri; Frentz, Alexis; Gabet, Pierre; Lajouanie, Antoine; Lorthiois, Marc-Antoine; Roquette, Lucien; Vernet, Camille
2
2016
A minimal interface problem arising from a two component Bose-Einstein condensate via \(\Gamma \)-convergence. Zbl 1323.49008
Aftalion, Amandine; Royo-Letelier, Jimena
11
2015
Thomas-Fermi approximation for coexisting two component Bose-Einstein condensates and nonexistence of vortices for small rotation. Zbl 1325.49004
Aftalion, Amandine; Noris, Benedetta; Sourdis, Christos
9
2015
Optimization of running strategies based on anaerobic energy and variations of velocity. Zbl 1307.49002
Aftalion, Amandine; Bonnans, J. Frédéric
6
2014
Non-existence of vortices in the small density region of a condensate. Zbl 1220.82006
Aftalion, Amandine; Jerrard, Robert L.; Royo-Letelier, Jimena
19
2011
On mathematical models for Bose-Einstein condensates in optical lattices. Zbl 1171.82304
Aftalion, Amandine; Helffer, Bernard
15
2009
Mathematical issues in the modelling of supersolids. Zbl 1178.82087
Aftalion, A.; Blanc, X.; Jerrard, R. L.
2
2009
Fast rotating Bose-Einstein condensates in an asymmetric trap. Zbl 1180.82118
Aftalion, Amandine; Blanc, Xavier; Lerner, Nicolas
2
2009
Reduced energy functionals for a three-dimensional fast rotating Bose Einstein condensates. Zbl 1202.82010
Aftalion, Amandine; Blanc, Xavier
9
2008
Lowest Landau level approach in superconductivity for the Abrikosov lattice close to \(H_{{c}_{2}}\). Zbl 1138.82034
Aftalion, Amandine; Serfaty, Sylvia
30
2007
Vortex patterns in Bose Einstein condensates. Zbl 1200.82036
Aftalion, Amandine
3
2007
On the energy of a Bose-Einstein condensate in an optical lattice. Zbl 1119.35081
Aftalion, Amandine
3
2007
Vortices in Bose-Einstein condensates. Zbl 1129.82004
Aftalion, Amandine
59
2006
Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates. Zbl 1118.82004
Aftalion, A.; Blanc, X.; Nier, F.
41
2006
Vortex lattices in rotating Bose-Einstein condensates. Zbl 1174.35104
Aftalion, Amandine; Blanc, Xavier
12
2006
Giant vortex and the breakdown of strong pinning in a rotating Bose-Einstein condensate. Zbl 1075.76063
Aftalion, Amandine; Alama, Stan; Bronsard, Lia
37
2005
Qualitative properties of nodal solutions of semilinear elliptic equations in radially symmetric domains. Zbl 1113.35063
Aftalion, Amandine; Pacella, Filomena
46
2004
Morse index and uniqueness for positive solutions of radial \(p\)-Laplace equations. Zbl 1062.58015
Aftalion, Amandine; Pacella, Filomena
11
2004
Existence of vortex-free solutions in the Painlevé boundary layer of a Bose-Einstein condensate. Zbl 1081.82011
Aftalion, Amandine; Blanc, Xavier
6
2004
Multiple boundary blow-up solutions for nonlinear elliptic equations. Zbl 1030.35049
Aftalion, Amandine; del Pino, Manuel; Letelier, René
15
2003
Uniqueness and nondegeneracy for some nonlinear elliptic problems in a ball. Zbl 1109.35039
Aftalion, Amandine; Pacella, Filomena
14
2003
Properties of a single vortex solution in a rotating Bose-Einstein condensate. Zbl 1050.82502
Aftalion, Amandine; Jerrard, Robert L.
4
2003
The bifurcation diagrams for the Ginzburg-Landau system of superconductivity. Zbl 1082.82018
Aftalion, Amandine; Du, Qiang
7
2002
Pinning phenomena in the Ginzburg-Landau model of superconductivity. Zbl 1027.35123
Aftalion, Amandine; Sandier, Etienne; Serfaty, Sylvia
33
2001
On the symmetry and uniqueness of solutions of the Ginzburg-Landau equations for small domains. Zbl 1066.35005
Aftalion, A.; Dancer, E. N.
7
2001
Asymptotic analysis of a secondary bifurcation of the one-dimensional Ginzburg-Landau equations of superconductivity. Zbl 0961.82034
Aftalion, A.; Chapman, S. J.
4
2000
On the uniqueness of solutions to the Ginzburg-Landau system for thin films. Zbl 0976.34027
Aftalion, Amandine; Troy, William C.
1
2000
Approximate radial symmetry for overdetermined boundary value problems. Zbl 0951.35046
Aftalion, Amandine; Busca, Jérôme; Reichel, Wolfgang
24
1999
On the solutions of the one-dimensional Ginzburg-Landau equations for superconductivity. Zbl 0946.34023
Aftalion, Amandine; Troy, William C.
9
1999
Asymptotic analysis of the bifurcation diagram for symmetric one-dimensional solutions of the Ginzburg-Landau equations. Zbl 0941.34028
Aftalion, A.; Chapman, S. J.
2
1999
On the minimizers of the Ginzburg-Landau energy for high kappa: The axially symmetric case. Zbl 0940.35183
Aftalion, Amandine
2
1999
Radial symmetry of overdetermined boundary-value problems in exterior domains. Zbl 0911.35008
Aftalion, Amandine; Busca, Jérôme
16
1998
Existence of two boundary blow-up solutions for semilinear elliptic equations. Zbl 0890.35049
Aftalion, Amandine; Reichel, Wolfgang
13
1997
On the minimizers of the Ginzburg-Landau energy for high \(\kappa\): The one-dimensional case. Zbl 0886.34019
Aftalion, Amandine
7
1997
Radial symmetry of overdetermined boundary value problems in exterior domains. (Symétrie radiale pour des problèmes elliptiques surdéterminés posés dans des domaines extérieurs.) Zbl 0876.35032
Aftalion, Amandine; Busca, Jérôme
5
1997
all top 5

Cited by 377 Authors

22 Aftalion, Amandine
15 Pacella, Filomena
13 Rougerie, Nicolas
12 Liu, Zuhan
11 Kachmar, Ayman
10 Serfaty, Sylvia
10 Yngvason, Jakob
9 Bétermin, Laurent
9 Correggi, Michele
9 Helffer, Bernard
8 Sourdis, Christos
7 Gladiali, Francesca
7 Sigal, Israel Michael
7 Weth, Tobias
6 Guo, Zongming
6 Ianni, Isabella
6 Sandier, Etienne
6 Tavares, Hugo
6 Thomann, Laurent
5 Alama, Stan
5 Amadori, Anna Lisa
5 Bonheure, Denis
5 Bronsard, Lia
5 Ciraolo, Giulio
5 de Marchis, Francesca
5 Du, Qiang
5 García-Melián, Jorge
5 Grumiau, Christopher
5 Magnanini, Rolando
5 Moreira dos Santos, Ederson
5 Pelinovsky, Dmitry Efimovich
5 Smyrnelis, Panayotis
4 Blanc, Xavier
4 Cingolani, Silvia
4 Degiovanni, Marco
4 Du, Yihong
4 Fournais, Søren
4 Henning, Patrick
4 Kim, Kwang Ik
4 Knüpfer, Hans
4 Lewin, Mathieu
4 Luo, Yong
4 Millot, Vincent
4 Montero, José Alberto
4 Nier, Francis
4 Poggesi, Giorgio
4 Sciunzi, Berardino
4 Sicbaldi, Pieralberto
4 Soave, Nicola
4 Wei, Juncheng
3 Attar, Kamel
3 Aydi, Hassen Mohamed
3 Bolley, Catherine
3 Bruneau, Vincent
3 Clerc, Marcel G.
3 Dos Santos, Mickaël
3 Gallo, Clément
3 Germain, Pierre
3 Grossi, Massimo
3 Guo, Yujin
3 Ignat, Radu
3 Jerrard, Robert Leon
3 Kowalczyk, Michał
3 Nitsch, Carlo
3 Onodera, Michiaki
3 Pan, Xingbin
3 Petrache, Mircea
3 Plum, Michael
3 Rindler-Daller, Tanja
3 Royo-Letelier, Jimena
3 Ting, Fan
3 Troestler, Christophe
3 Trombetti, Cristina
3 Vannella, Giuseppina
2 Agostiniani, Virginia
2 Bartsch, Thomas J.
2 Berlyand, Leonid V.
2 Bobkov, Vladimir E.
2 Brandolini, Barbara
2 Busca, Jérôme
2 Castro, Alfonso
2 Cianciaruso, Filomena
2 Contreras, Andres A.
2 Damascelli, Lucio
2 Danaila, Ionut
2 Del Castillo, Pierre
2 Duerinckx, Mitia
2 Farina, Alberto
2 Feldman, William M.
2 Gilsbach, Alexandra
2 Gustafson, Stephen J.
2 Hasegawa, Shoichi
2 Ju, Lili
2 Karali, Georgia D.
2 Kolonitskii, Sergey
2 Korman, Philip L.
2 Leite da Silva, Wendel
2 Li, Dongsheng
2 Lin, Taichia
2 Liu, Zhaoli
...and 277 more Authors
all top 5

Cited in 105 Serials

28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
27 Journal of Differential Equations
22 Journal of Mathematical Physics
16 Journal of Functional Analysis
16 Journal de Mathématiques Pures et Appliquées. Neuvième Série
15 Archive for Rational Mechanics and Analysis
11 Journal of Mathematical Analysis and Applications
11 Calculus of Variations and Partial Differential Equations
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Communications in Mathematical Physics
7 Journal of Statistical Physics
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Communications in Contemporary Mathematics
7 Nonlinear Analysis. Real World Applications
6 Journal of Nonlinear Science
5 Reviews in Mathematical Physics
5 Advances in Mathematics
5 Physica D
5 NoDEA. Nonlinear Differential Equations and Applications
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal d’Analyse Mathématique
4 Communications in Partial Differential Equations
4 SIAM Journal on Mathematical Analysis
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Letters in Mathematical Physics
3 Nonlinearity
3 Indiana University Mathematics Journal
3 Proceedings of the American Mathematical Society
3 Quarterly of Applied Mathematics
3 Transactions of the American Mathematical Society
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 SIAM Journal on Applied Mathematics
3 Discrete and Continuous Dynamical Systems
3 Communications on Pure and Applied Analysis
2 Computer Physics Communications
2 Mathematische Nachrichten
2 SIAM Journal on Numerical Analysis
2 Zeitschrift für Analysis und ihre Anwendungen
2 Acta Applicandae Mathematicae
2 Asymptotic Analysis
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Mathematical Physics, Analysis and Geometry
2 Acta Mathematica Sinica. English Series
2 Annales Henri Poincaré
2 Advances in Nonlinear Analysis
2 EMS Surveys in Mathematical Sciences
2 Journal of Elliptic and Parabolic Equations
2 Pure and Applied Analysis
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Journal of Computational Physics
1 Journal of Engineering Mathematics
1 Journal of Mathematical Biology
1 Mathematical Methods in the Applied Sciences
1 Physica A
1 Physics Letters. A
1 Mathematics of Computation
1 Bulletin of Mathematical Biology
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Calcolo
1 Duke Mathematical Journal
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Mathematica Slovaca
1 Mathematische Zeitschrift
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Studies in Applied Mathematics
1 Constructive Approximation
1 European Journal of Applied Mathematics
1 Mathematical Programming. Series A. Series B
1 SIAM Journal on Scientific Computing
1 Electronic Journal of Differential Equations (EJDE)
1 St. Petersburg Mathematical Journal
1 Filomat
1 Arab Journal of Mathematical Sciences
1 Analysis (München)
1 Journal of the European Mathematical Society (JEMS)
1 Journal of High Energy Physics
1 Journal of Evolution Equations
1 Advanced Nonlinear Studies
1 Journal of Applied Mathematics and Computing
1 Journal of the Institute of Mathematics of Jussieu
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 International Journal of Geometric Methods in Modern Physics
1 Journal of Statistical Mechanics: Theory and Experiment
1 Boundary Value Problems
1 Complex Variables and Elliptic Equations
1 Journal of Fixed Point Theory and Applications
1 Frontiers of Mathematics in China
1 Kinetic and Related Models
1 Analysis & PDE
1 International Journal of Differential Equations
1 MathematicS In Action
1 Journal of Pseudo-Differential Operators and Applications
1 Analysis and Mathematical Physics
1 Annals of PDE
...and 5 more Serials

Citations by Year

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