PUBLICATIONS

1. (with C. Le Bris) Thomas-Fermi type models for polymers and thin films, Advances in Differential Equations Vol 5 (7-9), pp 977-1032, 2000.
2. Geometry optimization for crystals in Thomas-Fermi type theories of solids, Communications in Partial Differential Equations Vol 26 (3-4), pp 207-252, 2001.
3. (with C. Le Bris) Periodicity of the infinite-volume ground state of a one-dimensional quantum model, Nonlinear Analysis T.M.A. Vol 48 (6), pp 791-803, 2002.
4. (with  R. Monneau ) Screening of an applied electric field inside a metallic layer described with Thomas-Fermi-von Weizsäcker model, Advances in Differential Equations Vol 7 (7), pp 847-876, 2002.
5. (with C. Le Bris and P.-L. Lions) From molecular models to continuum mechanics, Archive for Rational Mechanics and Analysis Vol 164 (4), pp 341-381, 2002.
6. (with C. Le Bris and P.-L. Lions) A definition of the ground state energy for systems composed of infinitely many particles, Communications in Partial Differential Equations Vol 28 (1-2), pp 439-475, 2003.
7. (with A. Aftalion) Existence of vortex free solutions in the Painlevé boundary layer of a Bose Einstein condensate, Journal de Mathématiques Pures et Appliquées Vol 83 (6), pp 765-801, 2004.
   
8. Lower bound for the interatomic distance in Lennard-Jones clusters, Computational Optimization and Applications Vol 29, pp 5-12, 2004.
9. (with A. Aftalion and J. Dalibard) Vortex patterns in a fast rotating Bose-Einstein condensate, Physical Review A Vol 71, 023611, 2005.
10. (with E. Cancès) Nonlinear instability of density-independent orbital-free kinetic-energy functionals, Journal of  Chemical Physics Vol 122, 214106, 2005.
11. (with C. Le Bris and F. Legoll) Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics: the convex case, Acta Mathematica sinica. Vol 23, pp 209-216, 2007
    
12. (with C. Le Bris and F. Legoll) Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics, Mathematical Modelling and Numerical Analysis Vol 39 (4), pp 797-826, 2005.
    
13. (with C. Le Bris and P.-L. Lions) Atomistic to Continuum limits for computational materials science, Mathematical Modelling and Numerical Analysis Vol 41, pp 391-426.
14. (with A. Aftalion) Vortex lattices in rotating Bose-Einstein condensates, SIAM Journal of Mathematical Analysis, Vol 38, p 874, 2006.
    
15. (with A. Aftalion and F. Nier) Vortex distribution in the lowest Landau level, Physical Review A, Vol 73, 011601(R), 2006.
    
16. (with A. Aftalion and F. Nier) Lowest Landau Level functional and  Bargmann spaces for Bose Einstein Condensates, Journal of Functional Analysis, Vol 241  (2), pp 661-702, 2006.
    
17. (with C. Le Bris and P.-L. Lions) The energy of some microscopic stochastic lattices, Archive for Rational Mechanics and Analysis Vol 184, pp 303-339, 2007.
18. (with C. Le Bris and P.-L. Lions) Homogenization and random lattices, Journal de Mathématiques Pures et Appliquées Vol 88, pp 34-63, 2007.
19. (with A. Aftalion and R. L. Jerrard) Nonclassical rotational inertia of a supersolid, Physical Review Letters Vol 99, p 135301, 2007
20. (with A. Aftalion) Reduced energy functionals for a three dimensional fast rotating Bose Einstein condensates, Annales de l'Institute Henri Poincaré, Nonlinear Analysis.Vol 25, pp 339-355, 2008.
21. (with N. Rougerie)Lowest Landau level vortex structure of a Bose-Einstein condensate rotating in a harmonic plus quartic trap, Physical Review A Vol 77, 053615, 2008.
22. (with A. Aftalion and N. Lerner) Fast rotating condensates in an asymmetric harmonic trap, Physical Review A, Vol 79, p 011603, 2009.
23. (with A. Aftalion and R. L. Jerrard) Mathematical issues in the modelling of for supersolids, Nonlinearity Vol 22, pp 1589-1614, 2009.
24. (with A. Aftalion and N. Lerner) Fast rotating condensates in an asymmetric trap, Journal of Functional Analysis, Vol 257, pp 753-806, 2009.
25. (with C. Le Bris) Improving on computation of homogenized coefficients in the periodic and quasi-periodic setting, Networks and Heterogeneous Media, Vol 5, pp 1-19, 2010.
26. (with C. Le Bris, F. Legoll, and C. Patz) Finite temperature coarse-graining of one-dimensional models: mathematical analysis and computational approach, Journal of Nonlinear Science, Vol. 20 (2), pp 241-275, 2010.
27. (with C. Le Bris, F. Legoll and T. Lelièvre ) Beyond multiscale and multiphysics: multimaths for model coupling, à Networks and Heterogeneous Media, Vol 5, pp 423-260, 2010.
28. (with R. Costaouec, C. Le Bris and F. Legoll,) Variance reduction using antithetic variables: applications to stochastic homogenization, to appear in Markov Processes and Related Fields.
29. (with B. Després) Numerical methods for inertial confinement fusion, course at CEMRACS 2010, to appear in Panoramas et synthèses (Société mathématique de France).

30. A Mathematical insight into ab initio simulation of the solid phase , dans "Mathematical methods and models for ab initio quantum chemistry", Lecture Notes in Chemistry Vol 74, pp 133-158, M. Defranceschi and C. Le Bris (Ed.), Springer, 2000.
31. (with C. Le Bris) Crystalline order in one-dimensional Thomas-Fermi type models, Mathematical Results in Quantum Mechanics, édité par P. Exner, B. Grébert and R. Weder, Contemporary Mathematics, 307, pp 21-26, American Mathematical Society, 2002.
32. Stochastic homogenization and energy of inifinite sets of points , dans "Analysis and Stochastics of Growth Processes and Interface Models", P. Mörters, R. Moser, H. Schwetlick, M. Penrose and J. Zimmer (Ed.), Oxford University Press, 2008.

33. (with C. Le Bris) Geometry optimization for Thomas-Fermi type theories for solids, C. R. Acad. Sci. Paris, Série I, tome 329, pp 551-556, 1999 (anounce of 2).
34. (with C. Le Bris and P.-L. Lions) From molecular models to continuum mechanics, C. R. Acad. Sci. Paris, Série I, tome 332, pp 949-956, 2001 (anounce of 5).
35. (with C. Le Bris and P.-L. Lions) Caracterisation of fonctions on R³ with bounded Newtonian potential, C. R. Acad. Sci. Paris, Série I, tome 334, pp 15-21, 2002.
36. (withC. Le Bris) A definition of interface energies using atomistic models, C. R. Acad. Sci. Paris, Série I, tome 340, pp 535-540, 2005.
37. (with C. Le Bris and P.-L. Lions) Discrete to continuum limit for some models of stochastic lattices of atoms, C. R. Acad. Sci. Paris, Série I, tome 342, pp 627-633, 2006.
38. (with C. Le Bris and P.-L. Lions) A variant of stochastic homogenization theory for elliptic operators, C. R. Acad. Sci. Paris, Série I, tome 343, pp 717-724, 2006.

39. (with A. Ben Haj Yedder et  C. Le Bris) A numerical investigation of the 2-dimensional crystal problem, preprint of the laboratoire J.-L. Lions,  université of Paris 6.
40. (with E. Cancès) Nonlinear instability of density-independent orbital-free kinetic-energy functionals, preprint of the laboratoire J.-L. Lions, université of Paris 6 (full-length paper corresponding to 10).

41. (with R. Monneau) Derivation of the macroscopic electric conductivity from a microscopic solid state model, ECCOMAS 2000, CD-ROM Proceedings, Barcelona, Spain.
42. (with R. Monneau) Utilisation d'un modèle quantique microscopique pour obtenir un modèle de conductivité électrique macroscopique, procceedings du 32ème Congres d'Analyse Numerique, CANUM 2000, Port d'Albret, France.
43. (with C. Le Bris and F. Legoll) Analyse d'une méthode de couplage entre mécanique discrète et mécanique continue, Congrès d'analyse numérique, CANUM 2004, 31 mai-4 juin 2004, Obernai, FRANCE.