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## Bolley, Catherine

Compute Distance To:
 Author ID: bolley.catherine Published as: Bolley, Catherine; Bolley, C. External Links: MGP
 Documents Indexed: 22 Publications since 1978

#### Co-Authors

 4 single-authored 16 Helffer, Bernard 1 Crouzeix, Michel 1 Del Castillo, Pierre 1 Foucher, Françoise
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#### Serials

 3 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Reviews in Mathematical Physics 2 RAIRO. Analyse Numérique 2 European Journal of Applied Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Nonlinear Studies 1 Journal of Mathematical Physics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Séminaire Équations aux Dérivées Partielles
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#### Fields

 18 Partial differential equations (35-XX) 14 Statistical mechanics, structure of matter (82-XX) 11 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Numerical analysis (65-XX) 4 Optics, electromagnetic theory (78-XX) 2 Operator theory (47-XX) 2 Quantum theory (81-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

22 Publications have been cited 146 times in 94 Documents Cited by Year
Conservation de la positivite lors de la discretisation des problèmes d’évolution paraboliques. Zbl 0392.65042
Bolley, Catherine; Crouzeix, Michel
1978
An application of semi-classical analysis to the asymptotic study of the supercooling field of a superconducting material. Zbl 0779.35104
Bolley, C.; Helffer, B.
1993
Rigorous results for the Ginzburg-Landau equations associated to a superconducting film in the weak $$\kappa$$ limit. Zbl 0864.35097
Bolley, Catherine; Helffer, Bernard
1996
Rigorous results on Ginzburg-Landau models in a film submitted to an exterior parallel magnetic field. I. Zbl 0857.34006
Bolley, C.; Helffer, B.
1996
Proof of the De Gennes formula for the superheating field in the weak $$\kappa$$ limit. Zbl 0889.34010
Bolley, Catherine; Helffer, Bernard
1997
The Ginzburg-Landau equations in a semi-infinite superconducting film in the large $$\kappa$$ limit. Zbl 0891.35144
Bolley, Catherine; Helffer, Bernard
1997
Modélisation du champ de retard a la condensation d’un supraconducteur par un problème de bifurcation. (Modelling of the condensation delay field of a supraconductor by a bifurcation problem). Zbl 0741.35085
Bolley, C.
1992
Familles de branches de bifurcations dans les équations de Ginzburg- Landau. (Families of bifurcation branches in the Ginzburg-Landau equations). Zbl 0726.34031
Bolley, Catherine
1991
Superheating field for the Ginzburg-Landau equations in the case of a large bounded interval. Zbl 1034.82068
Bolley, Catherine; Foucher, Françoise; Helffer, Bernard
2000
Solutions numériques de problèmes de bifurcation. Zbl 0439.65087
Bolley, Catherine
1980
Existence and uniqueness for the half-space Ginzburg-Landau model. Zbl 1042.34502
Bolley, Catherine; Del Castillo, Pierre
2001
Rigorous results on Ginzburg-Landau models in a film submitted to an exterior parallel magnetic field. II. Zbl 0869.34016
Bolley, C.; Helffer, B.
1996
Superheating in a semi-infinite film in the weak $$k$$ limit: Numerical results and approximate models. Zbl 0868.65087
Bolley, Catherine; Helffer, Bernard
1997
Stability of bifurcating solutions for the Ginzburg-Landau equations. Zbl 0916.34022
Bolley, Catherine; Helffer, Bernard
1998
Multiple solutions of a bifurcation problem. Zbl 0435.35012
Bolley, C.
1980
A priori estimates for Ginzburg-Landau solutions. Zbl 1061.35125
Bolley, C.; Helffer, B.
2002
On the asymptotics of critical fields for the Ginzburg-Landau equation. (Sur les asymptotiques des champs critiques pour l’équation de Ginzburg-Landau.) Zbl 0877.35120
Bolley, C.; Helffer, B.
1994
On the asymptotics of the critical fields for the Ginzburg-Landau equation. Zbl 0836.35019
Bolley, C.; Helffer, B.
1994
Asymptotics for critical fields in an approximate Ginzburg-Landau model in the large size limit. Zbl 0952.34009
Bolley, Catherine; Helffer, Bernard
1998
Change of stability for symmetric bifurcating solutions in the Ginzburg-Landau equations. Zbl 0960.34030
Bolley, Catherine; Helffer, Bernard
2000
Global superheating field for superconductors in a large bounded interval. Zbl 1020.82013
Bolley, Catherine; Helffer, Bernard
2002
On the continuity of the response map and an alternative shooting method for the half-space Ginzburg-Landau model. Zbl 1102.65080
Bolley, Catherine; Helffer, Bernard
2006
On the continuity of the response map and an alternative shooting method for the half-space Ginzburg-Landau model. Zbl 1102.65080
Bolley, Catherine; Helffer, Bernard
2006
A priori estimates for Ginzburg-Landau solutions. Zbl 1061.35125
Bolley, C.; Helffer, B.
2002
Global superheating field for superconductors in a large bounded interval. Zbl 1020.82013
Bolley, Catherine; Helffer, Bernard
2002
Existence and uniqueness for the half-space Ginzburg-Landau model. Zbl 1042.34502
Bolley, Catherine; Del Castillo, Pierre
2001
Superheating field for the Ginzburg-Landau equations in the case of a large bounded interval. Zbl 1034.82068
Bolley, Catherine; Foucher, Françoise; Helffer, Bernard
2000
Change of stability for symmetric bifurcating solutions in the Ginzburg-Landau equations. Zbl 0960.34030
Bolley, Catherine; Helffer, Bernard
2000
Stability of bifurcating solutions for the Ginzburg-Landau equations. Zbl 0916.34022
Bolley, Catherine; Helffer, Bernard
1998
Asymptotics for critical fields in an approximate Ginzburg-Landau model in the large size limit. Zbl 0952.34009
Bolley, Catherine; Helffer, Bernard
1998
Proof of the De Gennes formula for the superheating field in the weak $$\kappa$$ limit. Zbl 0889.34010
Bolley, Catherine; Helffer, Bernard
1997
The Ginzburg-Landau equations in a semi-infinite superconducting film in the large $$\kappa$$ limit. Zbl 0891.35144
Bolley, Catherine; Helffer, Bernard
1997
Superheating in a semi-infinite film in the weak $$k$$ limit: Numerical results and approximate models. Zbl 0868.65087
Bolley, Catherine; Helffer, Bernard
1997
Rigorous results for the Ginzburg-Landau equations associated to a superconducting film in the weak $$\kappa$$ limit. Zbl 0864.35097
Bolley, Catherine; Helffer, Bernard
1996
Rigorous results on Ginzburg-Landau models in a film submitted to an exterior parallel magnetic field. I. Zbl 0857.34006
Bolley, C.; Helffer, B.
1996
Rigorous results on Ginzburg-Landau models in a film submitted to an exterior parallel magnetic field. II. Zbl 0869.34016
Bolley, C.; Helffer, B.
1996
On the asymptotics of critical fields for the Ginzburg-Landau equation. (Sur les asymptotiques des champs critiques pour l’équation de Ginzburg-Landau.) Zbl 0877.35120
Bolley, C.; Helffer, B.
1994
On the asymptotics of the critical fields for the Ginzburg-Landau equation. Zbl 0836.35019
Bolley, C.; Helffer, B.
1994
An application of semi-classical analysis to the asymptotic study of the supercooling field of a superconducting material. Zbl 0779.35104
Bolley, C.; Helffer, B.
1993
Modélisation du champ de retard a la condensation d’un supraconducteur par un problème de bifurcation. (Modelling of the condensation delay field of a supraconductor by a bifurcation problem). Zbl 0741.35085
Bolley, C.
1992
Familles de branches de bifurcations dans les équations de Ginzburg- Landau. (Families of bifurcation branches in the Ginzburg-Landau equations). Zbl 0726.34031
Bolley, Catherine
1991
Solutions numériques de problèmes de bifurcation. Zbl 0439.65087
Bolley, Catherine
1980
Multiple solutions of a bifurcation problem. Zbl 0435.35012
Bolley, C.
1980
Conservation de la positivite lors de la discretisation des problèmes d’évolution paraboliques. Zbl 0392.65042
Bolley, Catherine; Crouzeix, Michel
1978
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#### Cited by 110 Authors

 15 Helffer, Bernard 9 Bolley, Catherine 5 Horváth, Zoltán 5 Pan, Xingbin 4 Aftalion, Amandine 4 Del Castillo, Pierre 4 Fournais, Søren 4 Kraaijevanger, J. F. B. M. 4 Ricchiuto, Mario 4 Spijker, Marc N. 3 Gerisch, Alf 3 Morame, Abderemane 2 Abgrall, Rémi 2 Ávila, Andrés I. 2 Chehab, Jean-Paul 2 Hundsdorfer, Willem H. 2 Kachmar, Ayman 2 Ketcheson, David I. 2 Kopecz, Stefan 2 Lenferink, H. W. J. 2 Lóczi, Lajos 2 Mastroserio, Carmela 2 Meister, Andreas 2 Miqueu, Jean-Philippe 2 Montrone, M. 2 Ostermann, Alexander 2 Popoff, Nicolas 2 Raymond, Nicolas 2 Troy, William C. 2 Weiner, Rüdiger 2 Yu, Wanghui 1 Almog, Yaniv 1 Arpaia, Luca 1 Audounet, Jacques 1 Bates, Peter W. 1 Bollermann, Andreas 1 Bonnaillie-Noël, Virginie 1 Brachet, Matthieu 1 Bruggeman, Jorn 1 Brunk, Markus 1 Burchard, Hans 1 Calvo, M. P. 1 Chaplain, Mark A. J. 1 Colaneri, Patrizio 1 Csík, Árpád 1 Cuesta, Eduardo 1 Dancer, Edward Norman 1 Dauge, Monique 1 Deconinck, Herman 1 Di Lena, Giovanni 1 Du, Qiang 1 Fekete, Imre 1 Forsyth, Peter A. 1 Foucher, Françoise 1 Franceschini, Valter 1 Gannot, Oran 1 Gauckler, Ludwig J. 1 González-Pinto, Severiano 1 González, Galo Javier 1 Griffiths, David F. 1 Hansen, Eskil 1 Hastings, Stuart P. 1 Hérau, Frédéric 1 Hernandez-Abreu, Domingo 1 Hislop, Peter D. 1 Iserles, Arieh 1 Jaffré, Jérôme 1 Kelkel, Jan 1 Khochman, Abdallah 1 Kooi, Bob W. 1 Kovács, Mihály 1 Kramer, Felix 1 Kvaerno, Anne 1 Kwong, Man Kam 1 Licois, Jean-René 1 Mefire, Séraphin M. 1 Mihálykó, Csaba 1 Morita, Yoshihisa 1 Mozartova, Anna 1 Nasrallah, Marwa 1 Palencia, Cesar 1 Pérez Rodríguez, S. 1 Sundqvist, Mikael Persson 1 Roland, Christophe 1 Roquejoffre, Jean-Michel 1 Rouzaud, Hélène 1 Sammon, Peter H. 1 Sandu, Adrian 1 Serio, Gabriella 1 Shorten, Robert N. 1 Simeon, Bernd 1 Soccorsi, Eric 1 Sommeijer, Ben P. 1 Song, Yunfei 1 Stoyan, Gisbert 1 Surulescu, Christina 1 Terlaky, Tamás 1 Ulbert, Z. 1 Van Daele, Marnix 1 van de Griend, J. A. ...and 10 more Authors
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#### Cited in 43 Serials

 10 Applied Numerical Mathematics 6 BIT 5 Journal of Computational and Applied Mathematics 5 Numerische Mathematik 4 Journal of Computational Physics 4 Journal of Mathematical Physics 4 Physica D 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Journal of Spectral Theory 3 Computers & Mathematics with Applications 3 Communications in Mathematical Physics 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal of Scientific Computing 2 Calcolo 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 European Journal of Applied Mathematics 2 Linear Algebra and its Applications 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Annales Henri Poincaré 1 Archive for Rational Mechanics and Analysis 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Reviews in Mathematical Physics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Journal of Functional Analysis 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Numerical Methods for Partial Differential Equations 1 Japan Journal of Industrial and Applied Mathematics 1 The Journal of Geometric Analysis 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Calculus of Variations and Partial Differential Equations 1 Vietnam Journal of Mathematics 1 LMS Journal of Computation and Mathematics 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Elliptic and Parabolic Equations
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#### Cited in 22 Fields

 49 Partial differential equations (35-XX) 48 Numerical analysis (65-XX) 33 Ordinary differential equations (34-XX) 28 Statistical mechanics, structure of matter (82-XX) 11 Quantum theory (81-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Biology and other natural sciences (92-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Optics, electromagnetic theory (78-XX) 4 Operator theory (47-XX) 4 Fluid mechanics (76-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Probability theory and stochastic processes (60-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX)