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Dernière mise à jour : 01/09/2008

Francois CASTELLA
IRMAR - Université de Rennes 1
Campus de Beaulieu - 35042 Rennes Cedex - France
email : francois.castella@univ-rennes1.fr

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TRAVAUX, PAR ORDRE CHRONOLOGIQUE
    (vous trouverez ici une LISTE PAR THEMES)

  • F. Castella, B. Perthame, Estimations de Strichartz pour les Equations
    de transport Cinétique,     ( ps,  pdf )
    C. R. Acad. Sci. Paris, t. 322, Série I, p. 535-540 (1996).
    Nota: Cette Note est un travail à part entière, et ne fera pas l'objet d'une publication ultérieure.

  • F. Castella, L2-solutions to the Schrödinger-Poisson System : Existence, Uniqueness,
    Time Behaviour, and Smoothing Effects,     ( ps,  pdf )
    Math. Mod. Meth. Appl. Sci., Vol. 7, N. 8, pp. 1051-1083 (1997),
    et
    résultat annoncé dans C. R. Acad. Sci., t. 323, sér. I, p. 1243-1248 (1996).

  • F. Castella, The Vlasov-Poisson-Fokker-Planck System with infinite kinetic energy, ( ps,  pdf )
    Indiana Univ. Math. J., Vol. 47, N. 3. p. 939-964 (1998).

  • F. Castella, Propagation of space moments in the Vlasov-Poisson Equation
    and further results,     ( ps,  pdf )
    Ann. I.H.P., Anal. NonLinéaire, Vol. 16, N. 4, p. 503-533 (1999).

  • F. Castella, On the derivation of a Quantum Boltzmann Equation
    from the periodic von Neumann equation,     ( ps ,  pdf )
    Math. Mod. An. Num. Vol. 33, N. 2, p. 329-350 (1999).

  • F. Castella, L. Erdös, F. Frommlet, P.A. Markowich, Fokker-Planck equations
    as Scaling limits of Reversible Quantum Systems,     ( ps ,  pdf )
    J. Statist. Phys., Vol. 100, no. 3-4, pp. 543-601 (2000).

  • F. Castella, From the von Neumann equation to the Quantum Boltzmann equation
    in a deterministic framework,     ( ps ,   pdf )
    J. Stat. Phys., Vol. 104, N. 1/2, pp. 387-447 (2001).

  • F. Castella, From the von Neumann equation to the Quantum Boltzmann equation II:
    identifying the Born series,     ( ps ,   pdf )
    J. Stat. Phys., Vol. 106, N. 5/6, pp. 1197-1220 (2002).

  • F. Castella, A. Plagne, Non derivation of the Quantum Boltzmann equation
    from the periodic von Neumann equation,     ( ps ,   pdf )
    Indiana Univ. Math. J., Vol. 51, N. 4, pp. 963-1016 (2002).

  • F. Castella, A. Plagne, A distribution result for slices of sums of squares,
    Math. Proc. Cambridge Philos. Soc., Vol. 132, N.1, pp. 1-22 (2002).

  • J.D. Benamou, F. Castella, Th. Katsaounis, B. Perthame, High frequency limit
    in the Helmholtz equation,     ( ps ,  pdf )
    Rev. Mat. Iberoamericana, Vol. 18, N. 1, pp. 187-209 (2002),
    et
    résultat annoncé dans Séminaire E.D.P., Ecole Polytechnique, exposé N. V, 1999-2000.

  • F. Castella, B. Perthame, O. Runborg, High frequency limit of the Helmholtz equation II:
    source on a general smooth manifold,     ( ps ,  pdf )
    Comm. P.D.E., Vol. 27, N. 3-4, pp. 607-651 (2002).

  • F. Castella, P. Chartier, E. Faou, Analysis of a Poisson system
    with boundary conditions,     ( ps ,  pdf )
    C. R. Acad. Sci., Sér. I, Vol. 336, pp. 703-708 (2003).
    Nota: Cette Note est un travail à part entière, et ne fera pas l'objet d'une publication ultérieure.

  • D. Benedetto, F. Castella, R. Esposito, M. Pulvirenti, Some considerations
    on the derivation of the nonlinear quantum Boltzmann equation,     ( ps ,  pdf )
    J. Stat. Phys., Vol. 116, N. 1/4, pp.381-410 (2004).

  • B. Bidégaray-Fesquet, F. Castella, P. Degond, From Bloch model
    to the rate equations,     ( ps ,  pdf )
    Disc. Cont. Dyn. Sys., Vol. 11, N. 1, pp. 1-26 (2004).

  • B. Bidégaray-Fesquet, F. Castella, E. Dumas, M. Gisclon, From Bloch model
    to the rate equations II: the case of almost degenerate energy levels,     ( ps ,  pdf )
    Math. Mod. Meth. Appl. Sci., Vol. 14, pp. 1785-1817 (2004).

  • E. Cancès, F. Castella, P. Chartier, E. Faou, C. Le Bris, F. Legoll, G. Turinici,
    High-order averaging schemes with error bounds for thermodynamical properties
    calculations by molecular dynamics simulations,     ( ps ,  pdf )
    J. Chem. Phys., vol. 121, N. 21, pp. 10346--10355 (2004).

  • F. Castella, P. Chartier, E. Faou, et D. Bayart, F. Leplingard, C. Martinelli (ALCATEL),
    Raman Laser: Mathematical and Numerical Analysis of a model,     ( ps ,  pdf )
    Math. Mod. An. Num., Vol. 38, N. 3, pp. 457-475 (2004).

  • F. Leplingard, C. Martinelli, S. Borne, L. Lorcy, T. Lopez, D. Bayart (ALCATEL),
    et F. Castella, P. Chartier, E. Faou,
    Modeling of multi-wavelength Raman fiber lasers using a new and fast algorithm,
    IEEE Photonics Technology Letters, Vol. 16, N. 12, pp. 2601-2603 (2004).

  • F. Castella, The radiation condition at infinity for the high-frequency Helmholtz equation
    with source term: a wave packet approach,     ( ps ,  pdf )
    J. Funct. Anal., Vol. 223, pp. 204-257 (2005).

  • E. Cancès, F. Castella, P. Chartier, E. Faou, C. Le Bris, F. Legoll, G. Turinici,
    Long-time averaging for integrable Hamiltonian dynamics, ( ps ,  pdf )
    Numer. Math., Vol. 100, pp. 211-232 (2005).

  • D. Benedetto, F. Castella, R. Esposito, M. Pulvirenti, On The Weak-Coupling limit
    for Bosons and Fermions,     ( ps ,  pdf )
    Math. Mod. Meth. Appl. Sci., Vol. 15, N. 12, pp. 1811-1843 (2005).

  • F. Castella, Th. Jecko, Besov estimates in the high-frequency Helmholtz equation,
    for a non-trapping and C^2 potential,     ( ps ,  pdf )
    J. Diff. Eq., Vol. 228, N.2, pp. 440-485 (2006).

  • D. Benedetto, F. Castella, R. Esposito, M. Pulvirenti, Some considerations on the derivation
    of the nonlinear quantum Boltzmann equation II: the low density regime,     ( ps ,  pdf )
    J. Stat. Phys., Vol. 124, N. 2-4, pp. 951-996 (2006).

  • F. Castella, P. Degond, T. Goudon, Diffusion dynamics of classical systems
    driven by an oscillatory force,     ( ps ,  pdf )
    J. Stat. Phys., Vol. 124, N. 2-4, pp. 913-950 (2006).

  • F. Castella, P. Degond, T. Goudon, Large time dynamics of a classical system
    subject to a fast varying force,     ( ps ,  pdf )
    Comm. Math. Phys., Vol. 276, N. 1, pp. 23-49 (2007).

  • F. Castella, P. Degond, T. Goudon, Asymptotic problems for laser-matter modeling:
    quantum and classical models,     ( ps ,  pdf )
    Nonlinearity, Vol. 20, pp. 1677-1720 (2007).

  • D. Benedetto, F. Castella, R. Esposito, M. Pulvirenti, From the N-body Schrödinger equation
    to the quantum Boltzmann equation: a term-by-term convergence result
    in the weak coupling regime.     ( ps ,  pdf )
    Comm. Math. Phys., Vol. 277, N. 1, pp. 1-44 (2008).

  • N. Ben Abdallah, F. Castella, F. Méhats, Time averaging for the strongly confined
    nonlinear Schrödinger equation, using almost periodicity     ( ps ,  pdf )
    J. Diff. Eq., Vol. 245, N. 1, pp. 154-200 (2008).

  • F. Castella, Th. Jecko, A. Knauf, Semiclassical resolvent estimates for Schrödinger operators
    with Coulomb singularities,     ( ps ,  pdf )
    Ann. H. Poincaré, Vol. 9, N. 4, pp. 775-815 (2008).

  • F. Castella, J.-P. Hoffbeck, Y. Lagadeuc, A reduced model for spatially structured predator-prey systems
    with fast spatial migrations and slow demographic evolutions,     ( ps ,  pdf )
    à paraître dans Asympt. Anal. (2008).

  • F. Castella, G. Dujardin, B. Sericola,
    Moments analysis in Markov reward models,     ( ps ,  pdf )
    à paraître dans Methodology and Computing in Applied Probability (2008).

  • N. Ben Abdallah, F. Castella, F. Fendt, F. Méhats, The strongly confined Schrödinger-Poisson system
    for the transport of electrons in a nanowire,     ( ps ,  pdf )
    à paraître dans SIAM Journal on Applied Mathematics (2008).

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