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Mathematical theory of thermodynamic limits : Thomas- Fermi type models

Isabelle Catto , Claude Le Bris , Pierre Louis Lions
Oxford University Press, pp.277, 1998
Ouvrages hal-00157706v1
Image document

Setting and analysis of the multi-configuration time-dependent Hartree-Fock equations

Claude Bardos , Isabelle Catto , Norbert j. Mauser , Saber Trabelsi
Archive for Rational Mechanics and Analysis, 2010, 198 (1), pp.273-330. ⟨10.1007/s00205-010-0308-8⟩
Article dans une revue hal-00392136v1

Limite thermodynamique pour des modèles de type Thomas-Fermi

Isabelle Catto , Claude Le Bris , Pierre Louis Lions
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1996, 322, pp.357-364
Article dans une revue hal-00157700v1

Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 3 : Binding of neutral subsystems

Isabelle Catto , Pierre Louis Lions
Communications in Partial Differential Equations, 1993, 18 (3 et 4), pp.381-429
Article dans une revue hal-00157686v1

Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 1 : A necessary and sucient condition for the stability of general molecular systems

Isabelle Catto , Pierre Louis Lions
Communications in Partial Differential Equations, 1992, 17 (7 et 8), pp.1051-1110
Article dans une revue hal-00157689v1
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Existence of minimizers for the Dirac-Fock model of crystals

Isabelle Catto , Long Meng , Eric Paturel , Eric Séré
2022
Pré-publication, Document de travail hal-03871041v3

Hartree-Fock type models

Isabelle Catto
B. Engquist. Encyclopedia of Applied and Computational Mathematics, Springer-Verlag, pp.xx-xx, 2015, Encyclopedia of Applied and Computational Mathematics
Chapitre d'ouvrage hal-00699529v1

On the thermodynamic limit for Hartree-Fock type models

Isabelle Catto , Claude Le Bris , Pierre Louis Lions
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2001, 18 (6), pp.687-760
Article dans une revue hal-00157679v1

On some vector-valued non linear variational problems: variations on the Skyrme-Hartree-Fock model in Nuclear Physics

Isabelle Catto
Differential and integral equations, 1993, 6 (2), pp.291-318
Article dans une revue hal-00157692v1

Attractors for a non-linear parabolic equation modelling suspension flows

Isabelle Catto , Jose M. Amigo , Angel Gimenez , Jose Valero
Discrete and Continuous Dynamical Systems - Series B, 2009, 11 (2), pp.205-231
Article dans une revue hal-00359702v1

The self-energy of one electron in non relativistic QED

Isabelle Catto , Christian Hainzl
Journal of Functional Analysis, 2004, 207, pp.68-110. ⟨10.1016/S0022-1236(03)00064-8⟩
Article dans une revue hal-00157510v1

Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 4 : Binding of neutral systems for the Hartree model

Isabelle Catto , Pierre Louis Lions
Communications in Partial Differential Equations, 1993, 18 (7 et 8), pp.1149-1159
Article dans une revue hal-00157682v1

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

Isabelle Catto , Pierre Louis Lions
Communications in Partial Differential Equations, 1993, 18 (1 et 2), pp.305-354
Article dans une revue hal-00157688v1

Oscillating minimizers of a fourth order problem invariant under scaling

Isabelle Catto , Jean Dolbeault , Rafael Benguria , Régis Monneau
Journal of Differential Equations, 2004, 205 (1), pp.253-269. ⟨10.1016/j.jde.2004.03.024⟩
Article dans une revue hal-00157514v1

On some periodic Hartree-type models for crystals

Isabelle Catto , Claude Le Bris , Pierre Louis Lions
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2002, 19 (2), pp.143-190
Article dans une revue hal-00157675v1

Enhanced binding revisited for a spinless particle in non-relativistic QED

Isabelle Catto , Pavel Exner , Christian Hainzl
Journal of Mathematical Physics, 2004, 45 (11), pp.4174-4185. ⟨10.1063/1.1793329⟩
Article dans une revue hal-00278234v1

Mathematical analysis of a nonlinear parabolic equation arising in the modelling of non-newtonian flows

Eric Cancès , Isabelle Catto , Yousra Gati
SIAM Journal on Mathematical Analysis, 2005, 37, pp.60-82. ⟨10.1137/S0036141003430044⟩
Article dans une revue hal-00122447v1

Global-in-time existence of solutions to the multiconfiguration time-dependent Hartree-Fock equations: A sufficient condition

Isabelle Catto , Claude Bardos , Norbert Mauser , Saber Trabelsi
Applied Mathematics Letters, 2009, 22, pp.147-152. ⟨10.1016/j.aml.2007.12.033⟩
Article dans une revue istex hal-00278224v1

Mathematical modelling of quantum crystals

Isabelle Catto
B. Engquist. Encyclopedia of Applied and Computational Mathematics, Springer-Verlag, pp.xx-xx, 2012, Encyclopedia of Applied and Computational Mathematics
Chapitre d'ouvrage hal-00699532v1

Well-posedness of a multiscale model for concentrated suspensions

Eric Cancès , Isabelle Catto , Yousra Gati , Claude Le Bris
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2005, 4 issue 4, pp.1041-1058
Article dans une revue hal-00122454v1

La stabilité des molécules et la liaison des atomes pour des modèles de type Thomas-Fermi ou Hartree

Isabelle Catto , Pierre Louis Lions
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1990, 311, pp.193-198
Article dans une revue hal-00157701v1

Sur la limite thermodynamique pour des mod`eles de type Hartree et Hartree-Fock

Isabelle Catto , Claude Le Bris , Pierre Louis Lions
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1998, 327, pp.259-266
Article dans une revue hal-00157699v1
Image document

Existence of steady states for the Maxwell-Schrödinger-Poisson system: exploring the applicability of the concentration-compactness principle

Isabelle Catto , Jean Dolbeault , Óscar Sánchez , Juan Soler
Mathematical Models and Methods in Applied Sciences, 2013, 23 (10), pp.1915-1938
Article dans une revue hal-00834551v1