Articles

Catto I., Dolbeault J., Sánchez Ó., Soler J. (2013), Existence of steady states for the Maxwell-Schrödinger-Poisson system: exploring the applicability of the concentration-compactness principle, 0218-2025, vol. 23, n°10, p. 1915-1938

Bardos C., Catto I., Mauser N., Trabelsi S. (2010), Setting and analysis of the multi-configuration time-dependent Hartree-Fock equations, Archive for Rational Mechanics and Analysis, vol. 198, n°1, p. 273-330

Catto I., Bardos C., Mauser N., Trabelsi S. (2009), Global-in-time existence of solutions to the multiconfiguration time-dependent Hartree-Fock equations: A sufficient condition, Applied Mathematics Letters, vol. 22, n°2, p. 147-152

Valero J., Gimenez A., Amigo M., Catto I. (2009), Attractors for a non-linear parabolic equation modelling suspension flows, Discrete and Continuous Dynamical Systems. Series B, vol. 11, n°2, p. 205-231

Gati Y., Cancès E., Le Bris C., Catto I. (2005), Well-posedness of a multiscale model for concentrated suspensions, 1540-3459, vol. 4, n°4, p. 1041-1058

Catto I., Cancès E., Gati Y. (2005), Mathematical analysis of a nonlinear parabolic equation arising in the modelling of non-newtonian flows, SIAM Journal on Mathematical Analysis, vol. 37, n°1, p. 60-82

Catto I., Hainzl C. (2004), Self-energy of one electron in non-relativistic QED, Journal of Functional Analysis, vol. 207, n°1, p. 68-110

Catto I., Exner P., Hainzl C. (2004), Enhanced binding revisited for a spinless particle in non-relativistic QED, Journal of Mathematical Physics, vol. 45, n°11, p. 4174-4185

Benguria R., Monneau R., Catto I., Dolbeault J. (2004), Oscillating minimizers of a fourth order problem invariant under scaling, Journal of Differential Equations, vol. 205, n°1, p. 253-269

Catto I., Lions P-L., Le Bris C. (2002), On some periodic Hartree-type models for crystals, 1873-1430, vol. 19, n°2, p. 143-190

Le Bris C., Catto I., Lions P-L. (2001), On the thermodynamic limit for Hartree–Fock type models, 1873-1430, vol. 18, n°6, p. 687-760

Catto I., Lions P-L., Le Bris C. (1998), Sur la limite thermodynamique pour des modèles de type Hartree et Hartree-Fock, Comptes rendus. Mathématique, vol. 327, n°3, p. 259-266

Catto I., Le Bris C., Lions P-L. (1996), Limite thermodynamique pour des modèles de type Thomas-Fermi, Comptes rendus. Mathématique, vol. 322, p. 357-364

Catto I., Lions P-L. (1993), Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 4 : Binding of neutral systems for the Hartree model, Communications in Partial Differential Equations, vol. 18, n°7-8, p. 1149-1159

Catto I., Lions P-L. (1993), Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 3 : Binding of neutral subsystems, Communications in Partial Differential Equations, vol. 18, n°3-4, p. 381-429

Catto I. (1993), On some vector-valued non linear variational problems: variations on the Skyrme-Hartree-Fock model in nuclear physics, Differential and Integral Equations, vol. 6, n°2, p. 291-318

Catto I., Lions P-L. (1993), Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 2 : Stability is equivalent to the binding of neutral subsystems, Communications in Partial Differential Equations, vol. 18, n°1-2, p. 305-354

Catto I., Lions P-L. (1992), A necessary and sufficient condition for the stability of general molecular systems, Communications in Partial Differential Equations, vol. 17, n°7-8, p. 1051-1110

Catto I., Lions P-L. (1990), La stabilité des molécules et la liaison des atomes pour des modèles de type Thomas-Fermi ou Hartree, Comptes rendus. Mathématique, vol. 311, p. 193-198

Ouvrages

Pons G., Catto I., Gentil I. (2011), Mathématiques L sciences éco : éléments de calcul différentiel pour l'économie : + exercices et problèmes corrigés, Paris: Ellipses , 288 p.

Catto I., Le Bris C., Lions P-L. (1998), Mathematical theory of thermodynamic limits. Thomas- Fermi type models, Oxford: Clarendon Press, 292 p.

Chapitres d'ouvrage

Catto I. (2015), Hartree-Fock type models, in Björn Engquist, Encyclopedia of Applied and Computational Mathematics, Berlin Heidelberg: Springer

Catto I. (2015), Mathematical modelling of quantum crystals, in Björn Engquist, Encyclopedia of Applied and Computational Mathematics, Berlin Heidelberg: Springer

Catto I., Lions P-L., Le Bris C. (2000), Recent mathematical results on the quantum modeling of crystals, in Mireille Defranceschi, Claude Le Bris, Mathematical models and methods for ab initio quantum chemistry, Edimbourg: Springer, p. 95-120

Prépublications / Cahiers de recherche

Catto I., Meng L. (2023), Properties of periodic Dirac--Fock functional and minimizers, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 32 p.

Catto I., Meng L., Paturel E., Séré É. (2022), Existence of minimizers for the Dirac-Fock Model of Crystals, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 41 p.