- FR
- EN
catto@ceremade.dauphine.fr
Phone
: 01 44 05 48 70
Office
: B618
Isabelle Catto holds a PhD from Paris-Dauphine-PSL University (1991) and is a senior researcher at the CNRS. Her research focuses on the study of variational problems and nonlinear partial differential equations arising from quantum mechanics.
She was elected Vice President of the University's Council for Education and Student Life in December 2024.
From 2022 to 2025 she was academic direcor of the dual bachelor's degree program in Artificial Intelligence and Organizational Sciences at Paris-Dauphine-PSL University.
From 2014 to 2021, she served as as dean and then vice president in charge of education ayt PSL University. In this capacity, she established and oversaw two innovative multidisciplinary programs: the CPES in partnership with Lycée Henri-IV and the Bachelor's degree in Sciences for a Sustainable World.
Catto I., Meng L. (2025), Properties of periodic Dirac–Fock functional and minimizers, Journal de mathématiques pures et appliquées, vol. 201, p. 103719 
Catto I., Meng L., Paturel E., Séré É. (2024), Existence of minimizers for the Dirac-Fock Model of Crystals, Archive for Rational Mechanics and Analysis, vol. 248, n°63
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, Mathematical Models and Methods in Applied Sciences, 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
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
Gati Y., Cancès E., Le Bris C., Catto I. (2005), Well-posedness of a multiscale model for concentrated suspensions, Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, vol. 4, n°4, p. 1041-1058
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., 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., Lions P-L., Le Bris C. (2002), On some periodic Hartree-type models for crystals, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, 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, Annales de l'Institut Henri Poincaré (C) Analyse non linéaire, 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. (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. (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., 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. (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
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.
Catto I. (2015), Mathematical modelling of quantum crystals, in Björn Engquist, Encyclopedia of Applied and Computational Mathematics, Berlin Heidelberg: Springer
Catto I. (2015), Hartree-Fock type models, 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
Catto I., Meng L. (2023), Properties of periodic Dirac--Fock functional and minimizers, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 32 p.
