I. Book:
Vortices in the Magnetic Ginzburg-Landau Model,(with Etienne Sandier), Progress in Nonlinear Differential Equations and their Applications, vol 70, Birkhauser, (2007).
Erratum to the book (replacement for pages 148-151)
II. Articles in journals :
1. Solutions stables de l'équation de Ginzburg-Landau en présence de champ magnétique, Compte Rendus de l'Académie des Sciences, tome 326 No 8, série I, (1998), 949-954.
2. Local Minimizers for the Ginzburg-Landau Energy near Critical Magnetic Field, part I, Communications in Contemporary Mathematics , Vol 1 , No. 2, (1999), 213-254.
3. Local Minimizers for the Ginzburg-Landau Energy near Critical Magnetic Field, part II, Communications in Contemporary Mathematics , Vol 1, No. 3, (1999), 295-333.
4. Stable Configurations in Superconductivity : Uniqueness, Multiplicity and Vortex-Nucleation, Archive for Rational Mechanics and Analysis, 149, (1999), 329-365.
5. Global Minimizers for the Ginzburg-Landau Functional below the First Critical Magnetic Field, Annales IHP, Analyse non linéaire, 17, No. 1, (2000), 119-145. (with Etienne Sandier)
6. On the Energy of Type-II Superconductors in the Mixed Phase, Reviews in Mathematical Physics, 12, No 9, (2000), 1219-1257. (with Etienne Sandier) .ps file
7. A Rigorous Derivation of a Free-Boundary Problem Arising in Superconductivity, Annales Scientifiques de l'ENS, 4e Ser, 33, (2000), 561-592. (with Etienne Sandier) .ps file
8. Pinning Phenomena in the Ginzburg-Landau model of Superconductivity, J. Math. Pures Appl., 80, No 3, (2001), 339-372. (with Amandine Aftalion and Etienne Sandier) .ps file
9. Limiting Domain-Wall Energy for a Problem Related to Micromagnetics, Comm. Pure Appl Math., 54, No3, (2001), 294-338.(with Tristan Riviere) .ps file
10. On a Model of Rotating Superfluids, ESAIM: Controle, Opt. et Calcul des Variations, 6, (2001), 201-238. .ps file
11. A variational formulation for the two-sided obstacle problem with measure data, Comm Contemp. Math, 4, No 2, (2002), 357-374. (with H. Brezis) .ps file
12. Compactness, kinetic formulation and entropies for a problem related to micromagnetics, Comm PDE, 28, No 1 and 2, (2003), 249-269. (with Tristan Riviere) .ps file
13. Limiting Vorticities for the Ginzburg-Landau Equations, Duke Math J., 117, No 3, (2003), 403-446. (with Etienne Sandier) .ps file .dvi file
14. Ginzburg-Landau Minimizers Near the First Critical Field Have Bounded Vorticity, Calc of Var PDE , 17, 1 (2003), 17-28. (with Etienne Sandier) .ps file
15. Neel and Cross-Tie Wall Energies for Planar Micromagnetic Configurations, ESAIM : COCV, 8, volume dedicated to Jacques-Louis Lions, (2002), 31-68. (with F. Alouges and T. Riviere) .ps file
16. The decrease of bulk-superconductivity near the second critical field in the Ginzburg-Landau model, SIAM Journal Math Anal, 34, No 4, (2003), 939-956. (with Etienne Sandier) .ps file .dvi file
17. A product estimate for Ginzburg-Landau and application to the gradient-flow, Compte Rendus de l'Académie des Sciences, 336, (2003), 997-1002. (with Etienne Sandier)
18. A product-estimate for Ginzburg-Landau and corollaries, J. Func. Anal., 211, No 1 , (2004), 219-244. (with Etienne Sandier) .ps file. dvi file
19. Gamma-convergence of gradient flows with applications to Ginzburg-Landau, Comm. Pure Appl. Math, 57, No 12, (2004), 1627-1672. (with Etienne Sandier).ps file .dvi file
20 . Stability in 2D Ginzburg-Landau passes to the limit, Indiana Univ. Math. J., 54, No. 1, (2005), 199-222 .ps file .dvi file
21. A deterministic-control based approach to motion by curvature, Comm. Pure Appl Math, 59, No. 3, (2006), 344-407. (with Robert V. Kohn) .ps file
22. Vortex collisions and energy-dissipation rates in the Ginzburg-Landau heat flow, part I: Study of the perturbed Ginzburg-Landau equation, Journal Eur. Math Society , 9, No 2, (2007), 177-217. .dvi file .pdf file
23. Vortex collisions and energy-dissipation rates in the Ginzburg-Landau heat flow, part II: The dynamics, Journal Eur. Math Society, 9, No 3, (2007), 383-426. .dvi file .pdf file
24. A gradient-flow approach for an evolution problem arising in superconductivity, Comm. Pure Appl. Math. 61, (2008), No 11, 1495--1539. (with L. Ambrosio) .pdf file .dvi file
25. Lowest Landau level approach in superconductivity for the Abrikosov lattice close to H_c2, Selecta Math. 2,13, (2007) (with A. Aftalion) .dvi file .pdf file
26. Lorentz Space Estimates for the Ginzburg-Landau Energy, J. Func. Anal. 254 (2008), No 3, 773--825 (with Ian Tice) .dvi file .pdf file
27. Critical Points of Ambrosio-Tortorelli converge to critical points of Mumford-Shah in the one-dimensional Dirichlet case, ESAIM: COCV 15 (2009), 576-598 (with Gilles Francfort and Nam Le), .pdf file
28. A deterministic-control based approach to fully nonlinear parabolic and elliptic equations, Comm. Pure Appl. Math., 63, (2010), 1298--1350. (with R. V. Kohn) .pdf file
29. Repeated games for eikonal equations, integral curvature flows and non-linear parabolic integro-differential equations, Disc. Cont. Dyn. Systems- A, 29, No 4, (2011), 1517-1552 (with C. Imbert).pdf file
30. Gamma-convergence of gradient flows on Hilbert and metric spaces and applications, Disc. Cont. Dyn. Systems, A, 31, No 4, (2011), 1427-1451, special issue in honor of De Giorgi and Stampacchia .pdf file
31. Gradient flow of the Chapman-Rubinstein-Schatzman model for signed vortices, Annales IHP Anal. non lin. 28, No 2, (2011), 217-246 (with L. Ambrosio and E. Mainini) .pdf file
32. Improved lower bounds for Ginzburg-Landau energies via mass displacement, Analysis & PDE 4-5 (2011), 757--795. (with E. Sandier) .pdf file
33. Ginzburg-Landau vortex dynamics with pinning and strong applied currents, Arch. Rat. Mech. Anal., 201, No 2 (2011), 413-464 (with I. Tice) .pdf file
34. Lorentz Space Estimates for the Coulombian Renormalized Energy, to appear in Comm. Contemp Math. (with I. Tice) .pdf file
35. Energy estimates and cavity interaction for a critical-exponent cavitation model, to appear in Comm. Pure Appl. Math. (with D. Henao) link
36. Large Vorticity Stable Solutions to the Ginzburg-Landau Equations, to appear in Indiana Univ. Math. J. (with A. Contreras) .pdf file.
37. From the Ginzburg-Landau Model to Vortex Lattice Problems, to appear in Comm. Math. Phys. (with E. Sandier) .pdf file
III. Preprints:
1. The Gamma-limit of the two-dimensional Ohta-Kawasaki functional. Part I: Droplet density (with D. Goldman and C. Muratov) .pdf file
2. 2D Coulomb Gases and the Renormalized Energy (with E. Sandier) .pdf file
3. Renormalized Energy Concentration in Random Matrices (with A. Borodin) .pdf file
IV. Some proceedings:
1. On the Ginzburg-Landau Equation
with Magnetic Field, in Calculus of Variations
and Differential Equations, A. Ioffe S. Reich and I.
Shafrir, editors, Chapman &
Hall/CRC Research Notes in
Mathematics Series, Vol. 410, CRC Press, Boca Raton, FL, (1999).
2. Sur l'équation de Ginzburg-Landau avec champ magnétique, Proceedings of the ``Journées Équations aux Dérivées Partielles, Saint-Jean-de-Monts'', (1998).
3. Etude mathématique de l'équation de Ginzburg-Landau des supraconducteurs soumis à un champ magnétique, in Compte-Rendus de la 2ème Rencontre du Non-Linéaire, IHP Paris, (Y. Pomeau, R. Ribotta), Paris Onze Edition, (1999).
4. Vorticité dans les équations de Ginzburg-Landau de la supraconductivité, Séminaire: Equations aux Dérivées Partielles, 1999-2000, Exp. No. VI, 16 pp., Sémin. X EDP, École Polytech., Palaiseau, (2000).
5. Vorticity for the Ginzburg-Landau Model of Superconductors in a Magnetic Field, in CRM Proceedings and Lecture Notes, Volume 27, (2001).
6. Vortices for Ginzburg-Landau Equations: With Magnetic Field Versus Without, (with E. Sandier), in Noncompact Problems at the Intersection of Geometry, Analysis and Topology, Proceedings of the Brezis-Browder Conference on Noncompact Variational Problems and General Relativity, A. Bahri, S. Klainerman, and M. Vogelius, Eds, Contemporary Mathematics, 350, (2004).
7. Vortices in the Ginzburg-Landau model of superconductivity. European Congress of Mathematics, 837--850, Eur. Math. Soc., Zürich, 2005.
8. Vortices in the Ginzburg-Landau model of superconductivity, Proceedings of the International Congress of Mathematicians, Madrid, Spain, 2006, vol III, 267--290, Eur. Math. Soc., 2006.
9. Gamma-convergence of gradient flows and applications to Ginzburg-Landau vortex dynamics. Topics on concentration phenomena and problems with multiple scales, 267--292, Lect. Notes Unione Mat. Ital., 2, Springer, Berlin, 2006
10. Some methods and issues in the dynamics of vortices in the parabolic Ginzburg-Landau equations. Perspectives in nonlinear partial differential equations, 459--483, Contemp. Math., 446, Amer. Math. Soc., Providence, RI, 2007.
11. Second-order PDE's and deterministic games. ICIAM 07—6th International Congress on Industrial and Applied Mathematics, 239–249, Eur. Math. Soc., Zürich, 2009, (with R.V. Kohn).
12. Vortex patterns in Ginzburg-Landau minimizers (with E. Sandier). XVIth International Congress on Mathematical Physics, 246–264, World Sci. Publ., 2010.