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Accueil > Pages web personnelles > Nabile Boussaïd

Nabile Boussaïd

nabile.boussaid univ-fcomte.fr

Bureau B403
Laboratoire de Mathématiques de Besançon
16, route de Gray - 25030 Besancon Cedex, France

Téléphone : +33 3 81 66 63 37

Publications

[1] Nabile Boussaïd. “ Stable directions for small nonlinear Dirac standing waves ” . In : Comm. Math. Phys. 268.3 (2006), pp. 757–817. doi : 10.1007/s00220-006-0112-3.

[2] Nabile Boussaïd. “ On the asymptotic stability of small nonlinear Dirac standing waves in a resonant case ” . In : SIAM J. Math. Anal. 40.4 (2008), pp. 1621–1670. doi : 10.1137/070684641.

[3] Lyonell Boulton and Nabile Boussaïd. “ Non-variational computation of the eigenstates of Dirac operators with radially symmetric potentials ” . In : LMS J. Comput. Math. 13 (2010), pp. 10–32. doi : 10.1112/S1461157008000429.  [1]

[4] Nabile Boussaïd and Sylvain Golénia. “ Limiting absorption principle for some long range perturbations of Dirac systems at threshold energies ” . In : Comm. Math. Phys. 299.3 (2010), pp. 677–708. doi : 10.1007/s00220-010-1099-3.

[5] Nabile Boussaïd, Piero D’Ancona, and Luca Fanelli. “ Virial identity and weak dispersion for the magnetic Dirac equation ” . In : J. Math. Pures Appl. (9) 95.2 (2011), pp. 137–150. doi : 10.1016/j.matpur.2010.10.004.

[6] Lyonell Boulton, Nabile Boussaïd, and Mathieu Lewin. “ Generalised Weyl theorems and spectral pollution in the Galerkin method ” . In : J.Spectr. Theory 2.4 (2012), pp. 329–354. doi : 10.4171/JST/32.

[7] Nabile Boussaïd and Scipio Cuccagna. “ On stability of standing waves of nonlinear Dirac equations ” . In : Comm. Partial Differential Equations 37.6 (2012), pp. 1001–1056. doi : 10.1080/03605302.2012.665973.

[8] Nabile Boussaïd, Marco Caponigro, and Thomas Chambrion. “ Weakly coupled systems in quantum control ” . In : IEEE Trans. Automat. Control 58.9 (2013), pp. 2205–2216. doi : 10.1109/TAC.2013.2255948.

Prépublications

[1] Nabile Boussaïd. A stability result for small stationary solutions of a class of nonlinear Dirac equations. 2007.

[2] Nabile Boussaïd and Andrew Comech. On spectral stability of the nonlinear Dirac equation. 2012. arXiv : 1211.3336 [math.AP].

[3] Gabriel Raúl Barrenechea, Lyonell Boulton, and Nabile Boussaid. Eigenvalue enclosures. .

[4] Gabriel Raúl Barrenechea, Lyonell Boulton, and Nabile Boussaid. Finite element eigenvalue enclosures for the Maxwell operator. .

Actes de conférences avec comité de lecture

[1] Nabile Boussaïd, Marco Caponigro, and Thomas Chambrion. “ Approximate controllability of the Schrödinger equation with a polarizability term ” . In : Decision and Control (CDC), 2012 IEEE 51st Annual Conference on. IEEE. 2012, pp. 3024–3029. doi : 10.1109/CDC.2012.6426619.

[2] Nabile Boussaïd, Marco Caponigro, and Thomas Chambrion. “ Implementation of logical gates on infinite dimensional quantum oscillators ”. In : American Control Conference (ACC), 2012. IEEE. 2012, pp. 5825–5830.

[3] Nabile Boussaïd, Marco Caponigro, and Thomas Chambrion. “ Periodic control laws for bilinear quantum systems with discrete spectrum ”. In : American Control Conference (ACC), 2012. IEEE. 2012, pp. 5819–5824.

[4] Nabile Boussaïd, Marco Caponigro, and Thomas Chambrion. “ Small time reachable set of bilinear quantum systems ” . In : Decision and Control (CDC), 2012 IEEE 51st Annual Conference on. IEEE. 2012, pp. 1083–1087. doi : 10.1109 CDC.2012.6426208.

[5] Nabile Boussaïd, Marco Caponigro, and Thomas Chambrion. “ Which notion of energy for bilinear quantum systems ? ” In : proceeding of the 4th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control, pp 226-230, 29-31 août 2012. 2012, pp. 226–230. doi : 10.3182/20120829-3-IT-4022.00034.

[6] Nabile Boussaïd, Marco Caponigro, and Thomas Chambrion. “ Total variation of the control and energy of bilinear quantum systems ” . In : Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on. Dec. 2013, pp. 3714–3719. doi : 10.1109/CDC.2013.6760455 .

[7] Nabile Boussaïd, Marco Caponigro, and Thomas Chambrion. “ Energy Estimates for Low Regularity Bilinear Schrödinger Equations ” . In : Control of Systems Governed by Partial Differential Equations. Vol. 1. 1. 2013, pp. 25–30. doi : 10.3182/20130925-3-FR-4043.00046.

Thèse

Nabile Boussaïd. Étude de la stabilité des petites solutions stationnaires pour une classe d’équations de Dirac non linéaires”. PhD thesis. July 2006. Advisor : Éric Séré

En préparation

[1] Gabriel Barrenechea, Lyonell Boulton, and Nabile Boussaïd. “ Some remarks on the spectral properties of the maxwell operator on rough domains and domains with symmetries ”.

[2] Nabile Boussaïd, Marco Caponigro, and Thomas Chambrion. “ Regular propagators of bilinear quantum systems ”.

[3] Nabile Boussaïd, Andrew Comech, and David Stuart. “ Linear stability of solitary waves in Dirac-Maxwell system ”.

[4] Nabile Boussaïd and Bernard Ducomet. “ Lifetime and time evolution of quasistationary states for a generalized Schrödinger operator ”.

[5] Nabile Boussaïd, Hichem Hajaiej, Slim Ibrahim, and Laurent Michel. “On the global Cauchy problem for non-linear Schrödinger equation with magnetic potential ”.

Conférence organisée

Nabile Boussaïd, Andrew Comech and Stephen Gustafson, Spectral and asymptotic stability of nonlinear Dirac equation. dec. 2012.


[1code added to the collection NLEVP : Timo Betcke, Nicholas J. Higham, Volker Mehrmann, Christian Schröder, and Françoise Tisseur. NLEVP : A Collection of Nonlinear Eigenvalue Problems. Feb. 2013. doi : 10.1145/2427023.2427024. url