ARTICLES RECENTS

· C. Bardos, I. Catto, N. Mauser and S. Trabelsi, Setting and Analysis of the multiconfiguration time-dependent Hartree-Fock equations, accepté pour publication dans Arch. Rational Mech. Anal. E-print ArXiv 0903.3647 (2009)

· J. M. Amigó, I. Catto, A. Giménez and J. Valero, Attractors for a non-linear parabolic equation modelling suspension flows, Discrete Contin. Dyn. Syst. Ser. B, 11 (2), pp. 205--231 (2009)

ARTICLES PARUS

• C. Bardos, I. Catto, N. Mauser and S. Trabelsi, Global-in-time existence of solutions to the multiconfiguration time-dependent Hartree-Fock equations: A sufficient condition, Appl. Math. Lett. (22), pp. 147-152 (2009)

• I. Catto, E. Cancès, Y. Gati and C. Le Bris,  Well-posedness of a multiscale model for concentrated suspensions,  Multiscale Modeling and Simulation, Vol. 4, No. 4, pp. 1041-1058 (2006)

• I. Catto, E. Cancès and Y. Gati, Mathematical analysis of a nonlinear parabolic equation arising in the modelling of non-newtonian flows,  SIAM J. Math. Anal., Vol. 37, No. 1, pp. 60--82 (2005) .pdf

• I. Catto, P. Exner,   Ch. Hainzl, Enhanced binding revisited for a spinless particle in non-relativistic  QED,  Journal of Mathematical Physics, Vol. 45(11), pp. 4174--4185 (2004). Eprint ArXiv/math-ph/0403012.

• R.D. Benguria, I. Catto, J. Dolbeault, R. Monneau, Oscillating minimizers of a fourth order problem invariant under scaling,  Journal of Differential Equations,  Vol.  205, pp. 253--269 (2004). Eprint ArXiv:math.AP/0311192.

• I. Catto and Ch. Hainzl, Self-energy of one electron in non-relativistic QED,  Journal of Functional Analysis, Vol. 207, pp. 68--110 (2004). Preprint arXiv/math-ph/0207036 (.dvi;.ps.gz;.pdf)

• I. Catto, C. Le Bris and P.-L. Lions, On some periodic Hartree type models for crystals, Annales de l'Institut Henri Poincaré--Analyse Non Linéaire, Vol. 19(2), pp. 143--190 (2002) ( .dvi;.ps.gz; 59 pages )

• I. Catto, C. Le Bris and P.-L. Lions, On the thermodynamic limit for Hartree-Fock type models, Annales de l'Institut Henri Poincaré--Analyse Non Linéaire,  Vol. 18(6), pp. 687--760 (2001)  ( .dvi;.ps.gz; 70 pages )

• I. Catto, C. Le Bris and P.-L. Lions, Recent mathematical results on the quantum modeling of crystals (Review) Proceeding des Minisymposia "Mathematics applied to Quantum Chemistry: Theoretical, computational and experimental aspects" at ICIAM 99, Edinburgh, Juillet 1999. Dans: Mathematical Models and Methods for Ab Initio Quantum Chemistry, M. Defrancesci & C. Le Bris Ed., Lecture Notes in Chemistry Vol. 74, Springer-Verlag, 2001 ( .dvi, , .ps ; 29 pages )

• I. Catto, C. Le Bris and P.-L. Lions, Sur la limite thermodynamique pour des modèles de type Hartree et Hartree-Fock [On the thermodynamic limit for Hartree and Hartree-Fock type models], C. R. Acad. Sci. Paris, Série 1, t. 327, pp. 259-266, 1998

• I. Catto, C. Le Bris and P.-L. Lions, Limite thermodynamique pour des modèles de type Thomas-Fermi
  [Thermodynamic limit for Thomas-Fermi type models], C. R. Acad. Sci. Paris, t. 322, Série I, pp. 357-364 (1996)

• I. Catto, On some vector-valued non linear variational problems: variations on the Skyrme-Hartree-Fock model in Nuclear Physics, Differential and Integral Equations, Vol. 6 (2), pp. 291-318 (1993)

• I. Catto and P.-L. Lions, Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories.

1. Part 1: A necessary and sufficient condition for the stability of general molecular systems, C.P.D.E., Vol. 17, (7 et 8), pp. 1051-1110 (1992)
2. Part 2: Stability is equivalent to the binding of neutral subsystems, C.P.D.E., Vol. 18, (1 et 2), pp. 305-354 (1993)
3. Part 3: Binding of neutral subsystems, C.P.D.E., Vol. 18 (3 et 4), pp. 381-429 (1993)
4. Part 4: Binding of neutral systems for the Hartree model , C.P.D.E. , Vol. 18 (7 et 8), pp. 1149-1159 (1993)

• I. Catto and P.-L. Lions, La stabilité des molécules et la liaison des atomes pour des modèles de type Thomas-Fermi ou Hartree [Stability of molecules and binding of atoms for Thomas-Fermi or Hartree type models], C. R. Acad. Sci. Paris, 311, Série I, pp. 193-198 (1990)

LIVRES

• I. Catto, C. Le Bris and P.-L. Lions, Mathematical theory of thermodynamic limits : Thomas-Fermi type models, Oxford University Press, Clarendon, 1998

PROCEEDINGS

• I. Catto and P.-L. Lions, Hartree and Thomas-Fermi type models and the binding of molecular systems, In : Non Linear Variational Problems and Partial Differential Equations, Eds A. Marino and M. K. V. Murthy, Longman, Harlow (1995)